% last updated 30 November 2008, P.B. Stark, www.stat.berkeley.edu/~stark @STRING{amjepi="Amer. J. Epidem."} @STRING{jama="J. Amer. Med. Assoc."} @STRING{pageoph="Pure Appl. Geoph."} @STRING{annreveps="Ann. Rev. Earth Planet. Sci."} @STRING{annstat="Ann. Stat."} @string{annmathstat="Ann. Math. Stat."} @STRING{annprob="Ann. Prob."} @STRING{appstat="Appl. Stat."} @STRING{apj = "Ap. J."} @STRING{apjlett = "Ap. J. Lett."} @STRING{bssa="Bull. Seis. Soc. Am."} @STRING{bstj="Bell Sys. Tech. J."} @STRING{census="{U.S. Department of Commerce, Economics and Statistics Administration, Bureau of the Census}"} @STRING{commerce="U.S. Department of Commerce"} @STRING{cup="Cambridge University Press"} @STRING{evalRev="Evaluation Review"} @STRING{eos = "EOS Trans. Am. geophys. Un."} @STRING{epsl="Earth. Planet. Sci. Lett."} @STRING{fedreg="Federal Register"} @STRING{geoprosp="Geophys. Prosp."} @STRING{geophys="Geophysics"} @STRING{grl= "Geophys. Res. Lett."} @STRING{gjras = "Geophys. J. R. astron. Soc."} @STRING{gj = "Geophys. J."} @STRING{gji = "Geophys. J. Intl."} @STRING{ieeeit="IEEE Trans. Info. Th."} @STRING{ip = "Inverse Problems"} @STRING{jasa="J. Am. Stat. Assoc."} @STRING{jEdPsych="J. Ed. Psych."} @STRING{jmul="J. Mult. Anal."} @STRING{jrssa="J. Roy. Stat. Soc., Ser. A"} @STRING{jrssb="J. Roy. Stat. Soc., Ser. B"} @STRING{jrsssup="J. Roy. Stat. Soc. Suppl."} @STRING{jgr = "J. Geophys. Res."} @STRING{mnras="Mon. Not. roy. astr. Soc."} @STRING{nejm="New Eng. J. Med."} @STRING{nas="National Academy Press"} @STRING{pepi="Phys. Earth Planet. Inter."} @STRING{philtrans = "Phil. Trans. roy. Soc. Lon. A."} @STRING{pnas ="Proc. Natl. Acad. Sci."} @STRING{prl="Phys. Rev. Lett."} @string{procieee="Proc. IEEE"} @STRING{procroysoc = "Proc. roy. Acad. Lon."} @STRING{revgeoph="Rev. Geophys."} @STRING{revgeophspace="Rev. Geophys. Space Phys."} @STRING{siamjssc="SIAM J. Sci. Stat. Comput."} @STRING{statSci="Stat. Sci."} @STRING{siam="Soc. for Industrial and Appl. Math."} @STRING{dc="Washington, D.C."} @STRING{ucbstat="Dept. Statistics, Univ. of {C}alif., {B}erkeley"} @STRING{ucbcfpa="Center for Particle Astrophysics, Univ. of {C}alif., {B}erkeley"} @STRING{ucb="Univ. of {C}alifornia, {B}erkeley"} @article{johnstoneSilverman91, author = {Johnstone, I. and B.W. Silverman}, title = {Discretization Effects in Statistical Inverse Problems}, journal = {Journal of Complexity}, pages = {1-34}, year = {1991}, volume = {7} } @article{packel88, title = {Do Linear Problems have Linear Optimal Algorithms?}, author = {Packel, E.W.}, journal = {{SIAM} Review}, Volume = 30, year = 1988, pages = {388-403} } @book{traubWerschulz98, title = {Complexity and Information}, year = 1998, author = {Traub, J.F. and A.G. Werschulz}, publisher = {Cambridge University Press}, address = {Cambridge, UK}, pages = {139} } @article{wendellSchmee96, title = {Exact Inference for Proportions from a Stratified Finite Population}, year = 1996, author = {Wendell, J.P. and J. Schmee}, journal = jasa, volume = 91, pages = {825-830}, url = {links.jstor.org/sici?sici=0162-1459%28199606%2991%3A434%3C825%3AEIFPFA%3E2.0.CO%3B2-D} } @article{menzefrickeSmieliauskas84, year = 1984, author = {Menzefricke, U. and W. Smieliauskas}, journal = {J. Accounting Res.}, title = {A simulation study of the performance of parametric dollar unit sampling statistical procedures}, volume = {22}, pages = {588-603} } @article{tsuiEtal85, year = 1985, author = {Tsui, K.-W. and E.M. Matsumura and K.-L. Tsui}, title = {Multinomial-Dirichlet bounds for dollar-unit sampling in auditing}, journal = {The Accounting Review}, pages = {76-96}, volume = 60 } @article{tamura88, year = 1988, author = {Tamura, H.}, journal = {Biometrika}, volume = 75, pages = {1-9}, title = {Estimation of rare errors using expert judgment} } @article{tamuraFrost86, year = 1986, author = {Tamura, H. and P.A. Frost}, title = {Tightening {CAV} ({DUS}) bounds by using a parametric model}, journal = {J. 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(1999). \emph{Nonlinear Programming} (2nd ed)., Athena Scientific, Belmont MA. %\bibitem{Braun} ~Braun, H.I. (Ed.)(1994). \emph{The collected works of John W. Tukey: Vol. VIII Multiple comparisons: 1948-1983.} New York: Chapman \& Hall. %\bibitem{Madar01} ~Madar, V. (2001). ``Nonequivariant confidence intervals less likely to contain zero,'' M.A. dissertation, Tel-Aviv Univ. @article{percusPercus85, title = {Probability Bounds on the Sum of Independent Nonidentically Distributed Binomial Random Variables}, author = {Percus, O.E. and J.K. Percus}, year = 1985, journal = {{SIAM} J. Appl. Math.}, volume = 45, pages = {621-640} } @article{hoeffding56, title = {On the Distribution of the Number of Successes in Independent Trials}, author = {Hoeffding, W.}, journal = {Ann. Math. Stat.}, volume = 27, year = 1956, pages = {713-721} } @article{hoeffding63, title = {Probability inequalities for sums of bounded random variables}, author = {Hoeffding, W.}, year = 1963, journal = jasa, volume = 58, pages = {13-30} } @article{yangMo85, year = 1985, title = {Distribution-Free Confidence Bounds for $P(X_1 + X_2 + \cdots + X_k < Z)$}, author = {Yang, M.C.K. and T.C. Mo}, journal = jasa, volume = 80, pages = {227-230} } @article{bentkus04, title = {On {H}oeffding's Inequalities}, author = {Bentkus, V.}, journal = {Ann. Probab.}, volume = 32, pages = {1650-1673}, year = 2004 } @article{1967, title = {On an Inequality of {H}oeffding}, author = {Rosen, B.}, journal = {The Annals of Mathematical Statistics}, volume = {38}, number = {2}, jstor_formatteddate = {Apr., 1967}, pages = {382--392}, url = {http://www.jstor.org/stable/2239149}, ISSN = {00034851}, abstract = {}, publisher = {Institute of Mathematical Statistics}, copyright = {Copyright © 1967 Institute of Mathematical Statistics}, year = {1967}, } @article{1966, jstor_articletype = {primary_article}, title = {On a Chebyshev-Type Inequality for Sums of Independent Random Variables}, author = {Samuels, S. M.}, journal = {The Annals of Mathematical Statistics}, jstor_issuetitle = {}, volume = {37}, number = {1}, jstor_formatteddate = {Feb., 1966}, pages = {248--259}, url = {http://www.jstor.org/stable/2238704}, ISSN = {00034851}, abstract = {Let S(?1, ?, ?n) be the "class of all random variables", Sn, which are sums of n independent, non-negative random variables, X1, ?, Xn, with EXi = ?i, i = 1, ?, n. We consider the problem of finding \begin{equation*}\tag{1.1}\inf_{S_n\varepsilon\mathscr{S}(\nu_1,\cdots, \nu_n)} P\{S_n < \lambda\}\end{equation*} where ? is a positive constant. For n = 1, the infimum is 1 - ?1/? from the well-known Markov inequality. The solution for n = 2 was given in [2]. We derive the solution for n = 3. From these results we conjecture what the solution is for arbitrary n. To lend support to the conjecture, we examine a sub-class of S(?1, ?, ?n), namely those Sn's for which the problem reduces to one of considering the number of successes in independent trials. We show that, within this subclass, the conjectured value does minimize $P\{S_n < \lambda\}$ .}, publisher = {Institute of Mathematical Statistics}, language = {}, copyright = {Copyright © 1966 Institute of Mathematical Statistics}, year = {1966}, } @misc{halversonWolff07, title = {Report and Analysis of the 2006 Post-Election Audit of {M}innesota’s Voting Systems}, organization = {Citizens for Election Integrity Minnesota}, author = {Halvorson, M. and L. Wolff}, year = 2007, howpublished = {ceimn.org/files/CEIMNAuditReport2006.pdf} } @misc{stanislevic06, author = {Stanislevic, H.}, year = 2006, title = {Random Auditing of E-Voting Systems: How Much is Enough?}, institution = {VoteTrust USA}, howpublished = {www.votetrustusa.org/pdfs/VTTF/EVEPAuditing.pdf} } @techreport{nordenEtal07, author = {Norden, L. and A. Burstein and J.L. Hall and M. Chen}, year = 2007, title = {Post-election audits: restoring trust in elections}, institution = {Brennan Center for Justice, New York University and Samuelson Law, Technology \& Public Policy Clinic at University of California, Berkeley School of Law (Boalt Hall)}, address = {New York}, howpublished = {www.brennancenter.org/dynamic/subpages/download\_file\_50089.pdf} } @techreport{gao-05-956, title = {Elections: {F}ederal efforts to improve security and reliability of electronic voting systems are under way, but key activities need to be completed}, year = 2005, number = {GAO-05-956}, institution = {U.S. Government Accountability Office}, address = {Washington, D.C.} } @techreport{gao-07-714T, author = {Hite, R.C.}, title = {Elections: All levels of government are needed to address electronic voting system challenges}, year = 2007, number = {GAO-07-714T}, institution = {U.S. Government Accountability Office}, address = {Washington, D.C.} } @techreport{gao-06-450, title = {Elections: The Nation's Evolving Election System as Reflected in the {N}ovember 2004 General Election}, year = 2006, number = {GAO-06-450}, institution = {U.S. Government Accountability Office}, address = {Washington, D.C.} } @book{estokEtal02, author = {Estok, M. and N. Nevitte and G. Cowan}, year = 2002, title = {The Quick Count and Election Observation}, publisher = {National Democratic Institute for International Affairs}, address = {Washington, D.C.} } @book{bjornlund04, author = {Bjornlund, E.C.}, year = 2004, title = {Beyond Free and Fair: Monitoring Elections and Building Democracy}, publisher = {Woodrow Wilson Center Press}, address = {Washington, D.C.} } @misc{supremeCountCOPA04, year = 2004, howpublished = {542~U.S. No.~03--218} } @misc{etesting01, author = {{eTesting} Labs}, year = 2001, title = {{U.S.} {D}epartment of {J}ustice: Web Content Filtering Software Comparison} } @misc{etesting02, author = {{eTesting} Labs}, year = 2002, title = {Corporate Content Filtering Performance and Effectiveness Testing} } @techreport{greenfieldEtal01, author = {Greenfield, P. and P. Rickwood and H.C. Tran}, year = 2001, title = {Effectiveness of {I}nternet Filtering Software Products}, institution = {{CSIRO} Mathematical and Information Sciences} } @misc{munro04, author = {Munro, J.}, year = 2004, title = {Cybersitter 9.0 review}, journal = {PC Magazine}, howpublished = {www.pcmag.com/article2/0,1759,1618830,00.asp} } @misc{consumersUnion05, author = {{Consumers Union of the U.S., Inc.}}, year = 2005, title = {Filtering software: Better, but still fallible}, journal = {Consumer Reports}, howpublished = { www.consumerreports.org/cro/electronics-computers/internet-filtering-software-605/overview/index.htm} } @misc{telageEtal00, author = {Telage, D. and S. Balkam and J. Bastian and J. Berman and A.H. DeRosier~Jr. and J.R. Flores and A.F. Ganier III and M.E. Horowitz and D.R. Hughes and W.M. Parker and C.L. Peeler and G.L. Rohde and C.J. Schmidt and W.L. Schrader and L. Shapiro and S. Srinivasan and K. Talbert and G. Vradenburg III}, year = 2000, title = {Commission on {C}hild {O}nline {P}rotection ({COPA}) Report to {C}ongress}, howpublished = {www.copacommission.org/report/COPAreport.pdf} } @book{thornburghLin02, editor = {Thornburgh, D. and H.S. Lin}, year = 2002, title = {Youth, Pornography, and the {I}nternet}, publisher = {National Academy Press}, address = {Washington, D.C.}, pages = 450 } @book{wald04, author = {Wald, A.}, year = 2004, publisher = {Dover Publications}, title = {Sequential Analysis}, address = {Mineola, New York}, pages = 224 } @book{siegmund85, author = {Siegmund, D.}, title = {Sequential Analysis: Tests and Confidence Intervals}, year = 1985, publisher = {Springer-Verlag}, address = {New York}, } @misc{nass07, author = {National Association of Secretaries of State}, title = {Post Election Audit Procedures by State}, year = 2007, institution = {National Association of Secretaries of State}, howpublished = {nass.org/index.php?option=com\_docman\&task=doc\_download\&gid=54} } @misc{verifiedVoting07, author = {Verified Voting Foundation}, title = {Manual Audit Requirements}, year = 2007, institution = {Verified Voting Foundation}, howpublished = {www.verifiedvoting.org/downloads/stateaudits1007.pdf} } @misc{aslamEtal07, author = {Aslam, J.A. and R.A. Popa and R.L. Rivest}, title = {On Auditing Elections When Precincts Have Different Sizes}, institution = {Computer Science and Artificial Intelligence Laboratory, MIT}, year = 2007, howpublished = {people.csail.mit.edu/rivest/AslamPopaRivest-OnAuditingElectionsWhenPrecinctsHaveDifferentSizes.pdf} } @inproceedings{aslamEtal08, author = {Aslam, J.A. and R.A. Popa and R.L. Rivest}, title = {On Auditing Elections When Precincts Have Different Sizes}, booktitle = {2008 USENIX/ACCURATE Electronic Voting Technology Workshop, San Jose, CA, 28--29 July}, year = 2008 } @misc{rivest06, author = {Rivest, R.L.}, title = {On Estimating the Size of a Statistical Audit}, year = 2006, institution = {Computer Science and Artificial Intelligence Laboratory, MIT}, howpublished = {people.csail.mit.edu/rivest/Rivest-OnEstimatingTheSizeOfAStatisticalAudit.pdf} } @misc{peaswg07, author = {Jefferson, D. and K.Alexander and E. Ginnold and A. Lehmkuhl and K. Midstokke and P.B. Stark}, year = 2007, title = {Post Election Audit Standards Report--Evaluation of Audit Sampling Models and Options for Strengthening California’s Manual Count}, howpublished = {www.sos.ca.gov/elections/peas/final\_peaswg\_report.pdf} } @article{stark08a, author = {Stark, P.B.}, title = {Conservative Statistical Post-Election Audits}, year = 2008, volume = {2}, pages = {550-581}, journal = {Ann. Appl. Stat.} } @misc{ginnoldEtal08, author = {Ginnold, E. and J.L. Hall and P.B. Stark}, title = {A risk-limiting audit of {M}easure {A} in the {F}ebruary 2008 {M}arin {C}ounty election}, year = 2008, comment = {in preparation} } @misc{stark08c, author = {Stark, P.B.}, title = {Election audits by sampling with probability proportional to an error bound: dealing with discrepancies}, year = 2008, comment = {working paper}, howpublished = {statistics.berkeley.edu/$\sim$stark/Preprints/ppebwrwd08.pdf} } @article{stark08d, author = {Stark, P.B.}, title = {A sharper discrepancy measure for post-election audits}, year = 2008, volume = {in press}, pages = {in press}, journal = {Ann. Appl. Stat.} } @article{safe08, title = {Percentage-Based versus Statistical-Power-Based Vote Tabulation Audits}, author = {McCarthy, J. and H.I. Stanislevic and M. Lindeman and A. Ash and V. Addona and M. Batcher}, journal = {The American Statistician}, Volume= 62, year = 2008, pages = {11-16} } @misc{safe07, author = {J. McCarthy and H. Stanislevic and M. Lindeman and A. Ash and V. Addona and M. Batcher}, year = 2007, title = {Percentage based vs. {SAFE} vote tabulation auditing: a graphic comparison}, howpublished = {www.verifiedvotingfoundation.org/auditcomparison} } @misc{doppStenger06, author = {Dopp, K. and F. Stenger}, year = 2006, title = {The election integrity audit}, howpublished = {uscountvotes.org/ucvInfo/release/ElectionIntegrityAudit-release.pdf} } @misc{dopp07b, author = {Dopp, K}, year = 2007, title = {Chronology of Confidence-Level Election Auditing Development}, howpublished = { electionarchive.org/ucvAnalysis/US/paper-audits/History-of-Election-Auditing-Development.pdf} } @techreport{saltman75, author = {Saltman, R.G.}, title = {Effective use of computing technology in vote-tallying}, year = 1975, institution = {National Bureau of Standards}, number = {NBSIR 75-687}, address = {Washington, DC} } @book{pukelsheim93, title = {Optimal Design of Experiments}, author = {Pukelsheim, F.}, year = 1993, publisher = {John Wiley and Sons}, address = {New York}, pages = 480 } @article{chalonerVerdinelli95, author = "K. Chaloner and I. Verdinelli", title = "Bayesian experimental design: A review", journal = "Statist. Sci.", volume = "10", pages = "273-304", year = "1995" } @article{medinEtal07, author = {Medin, A.E. and R.L. Parker and S. Constable}, year = 2007, title = {Making sound inferences from geomagnetic sounding}, journal = pepi, volume = 160, pages = {51-59} } @article{huestis80, author = {Huestis, S.P.}, year = 1980, journal = gji, title = {The inversion of heat flow data: a {Backus—Gilbert} formulation}, volume = 62, pages = {649-660} } @misc{dopp07a, title = {Tiered Election Audits Based on Margins between Candidates}, author = {Dopp, K.}, year = 2007, howpublished = { electionarchive.org/ucvAnalysis/US/paper-audits/FourTierAudit/TieredElectionAudits.pdf} } @book{taleb07, title = {The {B}lack {S}wan: {T}he {I}mpact of the {H}ighly {I}mprobable}, author = {Taleb, N.N.}, year = 2007, publisher = {Random House}, address = {New York}, pages = 366 } @article{ogataZhuang06, author = {Ogata, Y. and J. Zhuang}, year = 2006, title = {Space-time {ETAS} models and an improved extension}, journal = {Tectonophysics}, volume = 413, pages = {13-23} } @article{zhuangEtal05, author = {Zhuang, J. and C.-P. Chang and Y. Ogata and Y.-I Chen}, year = 2005, journal = jgr, title = {A study on the background and clustering seismicity in the {T}aiwan region by using point process models}, volume = 110, pages = {B05S18} } @article{nanjoEtal06, author = {Nanjo, K.Z. and J.R. Holliday and C.-c. Chen and J.B. Rundle and D.L. Turcotte}, year = 2006, title = {Application of a modified pattern informatics method to forecasting the locations of future large earthquakes in the central {J}apan}, journal = {Tectonophysics}, Volume = 424, Pages = {351-366} } @article{hollidayEtal06, author = {Holliday, J.R. and J.B. Rundle and K.F. Tiampo and W. Klein and A. Donnellan}, journal = pageoph, year = 2006, title = {Systematic Procedural and Sensitivity Analysis of the Pattern Informatics Method for Forecasting Large ($M > 5$) Earthquake Events in Southern {C}alifornia}, volume = 163, pages = {2433-2454} } @article{zollerEtal01, author={Z\"{o}ller, G. and S. Hainzl and J. Kurths}, year = 2001, title = {Observation of growing correlation length as an indicator for critical point behavior prior to large earthquakes}, journal = jgr, volume = 106, pages= {2167-2176} } @article{tiampoEtal02, author = {Tiampo, K.F. and J.B. Rundle and S. McGinnis and S.J. Gross and W. Klein}, title = {Mean-field threshold systems and phase dynamics: An application to earthquake fault systems}, journal = {Europhys. Lett.}, volume = 60, pages = {481-488}, year = 2002 } @article{diGiovambattistaTyupkin00, author = {Di~Giovambattista, R. and Yu S. 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Beydoun}, JOURNAL = gjras, PAGES = {207-234}, TITLE = {Range of validity of seismic ray and beam methods in general inhomogeneous media---{I.} {G}eneral theory}, VOLUME = {82}, YEAR = {1985} } @ARTICLE{bendelCarlin90, AUTHOR = {Bendel, R.B. and Carlin, B.P.}, JOURNAL = {Communications in Stat., {P}art A--Th. and Meth.}, PAGES = {2595-2623}, TITLE = {Bayes Methods in the ecological fallacy context: Estimation of individual correlation from aggregate data}, VOLUME = {19}, YEAR = {1990} } @article{benjaminiHochberg95, author = "Benjamini, Y. and Hochberg, Y.", year = 1995, title = "Controlling the False Discovery Rate: a Practical and Powerful Approach to Multiple Testing", journal = jrssb, volume = 57, pages = "289-300" } @ARTICLE{benjaminiStark96, AUTHOR = {Benjamini, Y. and Stark, P.B.}, JOURNAL = {J. Am. Stat. 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Cantwell through Donna Kostanich" } @techreport{navarro00, author = "Navarro, A.", year = 2000, title = "Accuracy and Coverage Evaluation Survey: Targeted Extended Search Methodology", institution = census, number = "DSSD Census 2000 Procedures and Operations Memorandum Series \#Q-18", address = dc } @techreport{schindler00, author = "Schindler, Eric", year = 2000, month = "January", title = "Accuracy and Coverage Evaluation Survey: Post-stratification Preliminary Research Results", number = "DSSD Census 2000 Procedures and Operations Memorandum Series \#Q-23", institution = census, address = dc, note= "Memorandum from Donna Kostanich to Howard Hogan; presented to the {F}ebruary 2-3, 2000 {DSE} Workshop of the {N}ational {A}cademy of {S}cience {P}anel to Review the 2000 Census" } @ARTICLE{hogbom74, AUTHOR = {Hogbom, J.A.}, JOURNAL = {Astron. Astrophys. 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Infectious Diseases}, PAGES = {S92-S98}, TITLE = {Clinical and epidemiologic features of {G}uillain-{B}arr\'e syndrome}, VOLUME = {176 Suppl 2}, YEAR = {1997} } @book{jaynes83, author = "Jaynes, E.T.", title = "Papers on Probability, Statistics, and Statistical Physics", year = 1983, publisher = "Synthese Library" } @ARTICLE{hurwitzEtal81, AUTHOR = {Hurwitz, E.S. and L.B. Schonberger and D.B. Nelson and R.C. Holman}, JOURNAL = nejm, PAGES = {1557-1561}, TITLE = {{G}uillain-{B}arr\'e syndrome and the 1978--1979 influenza vaccine}, VOLUME = {304}, YEAR = {1981} } @ARTICLE{johnstone94, AUTHOR = {Johnstone, I.}, JOURNAL = annstat, NUMBER = {1}, PAGES = {271-289}, TITLE = {On minimax estimation of a sparse normal mean vector}, VOLUME = {22}, YEAR = {1994} } @ARTICLE{kaplanEtal82, AUTHOR = {Kaplan, J.E. and P. Katona and E.S. Hurwitz and L.B. Schonberger}, JOURNAL = jama, PAGES = {698--700}, TITLE = {Guillain-{B}arr\'e syndrome in the United States, 1979--1980 and 1980--1981: lack of an association with influenza vaccination}, VOLUME = {248}, YEAR = {1982} } @ARTICLE{keslerHaykin78, AUTHOR = {Kesler, S.B. and Haykin, S.}, JOURNAL = ieeeit, PAGES = {269-272}, TITLE = {The maximum entropy method applied to the spectral analysis of radar clutter}, VOLUME = {24}, YEAR = {1978} } @TECHREPORT{kim91, AUTHOR = {Kim, J.}, ADDRESS = dc, INSTITUTION = census, TITLE = {1990 {PES} Evaluation Project {P12}: Evaluation of Synthetic Assumption}, YEAR = {1991} } @article{kimmeldorfWahba71, Author = "Kimmeldorf, G.S. and Wahba, G.", Year = 1971, Title = "Some results on {T}chebycheffian spline functions", Journal = "Math. Anal. 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Stark}, title = {Multitaper Spectrum Estimation for Time Series with with Missing Values}, booktitle = {Computing Science and Statistics}, volume = {31: Models, Predictions, and Computing}, editor = {Berk, K. and M. Pourahmadi}, year = 1999, pages = {383-387} } @ARTICLE{kurlandEtal85, AUTHOR = {Kurland, L.T. and W.C. Wiederholt and J.W. Kirkpatrick and H.G. Potter and and P. Armstrong}, JOURNAL = {Archives of Neurology}, PAGES = {1089-1090}, TITLE = {Swine influenza vaccine and {G}uillain-{B}arr\'e syndrome. Epidemic or artifact?}, VOLUME = {42}, YEAR = {1985} } @ARTICLE{laskyEtal98, AUTHOR = {Lasky, T. and G.J. Terracciano and L. Magder and C.L. Koski and M. Ballesteros and D. Nash and S. Clark and P. Haber and P.D. Stolley and L.B. Schonberger and R.T. 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Greenland}, JOURNAL = {Biometrics}, PAGES = {1125-1138}, TITLE = {The probability of causation under a stochastic model for individual risk}, VOLUME = {45}, YEAR = {1989} } @BOOK{robinson80, AUTHOR = {Robinson, E.A.}, ADDRESS = {New York}, PAGES = {302}, PUBLISHER = {Macmillan}, TITLE = {Physical applications of stationary time-series, with special reference to digital data processing of seismic signals}, YEAR = {1980} } @BOOK{robinson82, AUTHOR = {Robinson, E.A.}, ADDRESS = {Boston, MA}, PAGES = {224}, PUBLISHER = {Int. Human Resour. Dev. Corp.}, TITLE = {Migration of geophysical data}, YEAR = {1982} } @BOOK{robinson83, AUTHOR = {Robinson, E.A.}, ADDRESS = {Dordrecht, Netherlands}, PAGES = {453}, PUBLISHER = {D. Reidel Publ. 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Woodrow", year=1993, title="Estimation of population coverage in the 1990 {U}nited {S}tates {C}ensus based on demographic analysis", journal=jasa, volume=88, pages="1061-1079" } @BOOK{rockafellar74, AUTHOR = {Rockafellar, R.T.}, ADDRESS = {Philadelphia, PA}, PUBLISHER = siam, TITLE = {Conjugate Duality and Optimization}, YEAR = {1974} } @ARTICLE{rodgersWahr93, AUTHOR = {Rodgers, A. and Wahr, J.}, JOURNAL = gji, PAGES = {991-1011}, TITLE = {Inference of core-mantle boundary topography from {ISC} {PcP} and {PKP} traveltimes}, VOLUME = {115}, YEAR = {1993} } @ARTICLE{rollin95, AUTHOR = {Rollin, K. E.}, JOURNAL = {Tectonophysics}, PAGES = {185-196}, TITLE = {A simple heat-flow quality function and appraisal of heat-flow measurements and heat-flow estimates from the {UK} Geothermal Catalogue}, VOLUME = {244}, YEAR = {1995} } @ARTICLE{rolph93, AUTHOR = {Rolph, J.E.}, JOURNAL = {Jurimetrics}, PAGES = {85-98}, TITLE = {The {C}ensus Adjustment Trial: Reflections of a Witness for the Plaintiffs}, VOLUME = {34}, YEAR = {1993} } @article{romano88, author = {Romano, J.P.}, title = {A bootstrap revival of some nonparametric distance tests}, year = 1988, journal = jasa, volume = 83, pages = {698-708}, remark = {Stable URL: http://links.jstor.org/sici?sici=0162-1459%28198809%2983%3A403%3C698%3AABROSN%3E2.0.CO%3B2-Q} } @article{romano89, author = {Romano, J.P.}, title = {Bootstrap and randomization tests of some nonparametric hypotheses}, journal = annstat, year = 1989, volume = 17, pages = {141-159}, remark = {Stable URL: http://links.jstor.org/sici?sici=0090-5364%28198903%2917%3A1%3C141%3ABARTOS%3E2.0.CO%3B2-R} } @ARTICLE{romanowicz95, AUTHOR = {Romanowicz, B.}, JOURNAL = jgr, PAGES = {12,375-12,394}, TITLE = {A global tomographic model of shear attenuation in the upper mantle}, VOLUME = {100}, YEAR = {1995} } @ARTICLE{romanowicz91, AUTHOR = {Romanowicz, B.}, JOURNAL = annreveps, PAGES = {77-99}, TITLE = {Seismic tomography of the {E}arth's mantle}, VOLUME = {19}, YEAR = {1991} } @BOOK{ropperEtal91, AUTHOR = {Ropper, A.H. and E.F.M. Wijdicks and B.T. Truax}, ADDRESS = {Philadelphia}, PUBLISHER = {F.A. Davis}, TITLE = {{G}uillain-{B}arr\'e Syndrome}, YEAR = {1991} } @ARTICLE{rothman85a, AUTHOR = {Rothman, D.H.}, JOURNAL = geophys, PAGES = {2784-2796}, TITLE = {Nonlinear inversion, statistical mechanics, and residual statics estimation}, VOLUME = {50}, YEAR = {1985} } @ARTICLE{rubin74, AUTHOR = {Rubin, D.}, JOURNAL = jEdPsych, PAGES = {688-701}, TITLE = {Estimating causal effects of treatments in randomized and nonrandomized studies}, VOLUME = {66}, YEAR = {1974} } @ARTICLE{rummel84, AUTHOR = {Rummel, R.}, JOURNAL = {Interdisciplinary Sci. 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Holland}, PAGES = {82-103}, PUBLISHER = siam, TITLE = {Well-Posed Questions and Exploration of the Space of Parameters in Linear and Non-Linear Inversion}, YEAR = {1984} } @INCOLLECTION{sabatier87, AUTHOR = {Sabatier, P.C.}, ADDRESS = {Philadelphia}, BOOKTITLE = {Basic Methods of Tomography and Inverse Problems}, EDITOR = {Sabatier, P.C.}, PAGES = {471-667}, PUBLISHER = {Adam Hilger}, TITLE = {Basic Concepts and Methods of Inverse Problems}, YEAR = {1987} } @ARTICLE{sacchiEtal94, AUTHOR = {Sacchi, M. D. and D.R. Velis and A.H. Cominguez}, JOURNAL = geophys, PAGES = {938-945}, TITLE = {Minimum entropy deconvolution with frequency-domain constraints}, VOLUME = {59}, YEAR = {1994} } @ARTICLE{safonEtal77, AUTHOR = {Safon, C. and G. Vasseur and M. Cuer}, JOURNAL = geophys, PAGES = {1215-1229}, TITLE = {Some applications of linear programming to the inverse gravity problem}, VOLUME = {42}, YEAR = {1977} } @ARTICLE{safranekEtal91, AUTHOR = {Safranek, T.J. and D.N. Lawrence and L.T. 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Neele}, JOURNAL = jgr, PAGES = {501-515}, TITLE = {The Effect of Small-Scale Structure on Normal Mode Frequencies and Global Inversions}, VOLUME = {96}, YEAR = {1991} } @ARTICLE{souriauPoupinet94, AUTHOR = {Souriau, A. and G. 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Sabatier}, PAGES = {462-467}, PUBLISHER = {Springer-Verlag}, TITLE = {Rigorous Computer Solutions for Infinite-Dimensional Inverse Problems}, YEAR = {1990} } @INCOLLECTION{stark88, AUTHOR = {Stark, P.B.}, ADDRESS = {Singapore}, BOOKTITLE = {Some Topics on Inverse Problems}, EDITOR = {P.C. Sabatier}, PAGES = {220-230}, PUBLISHER = {World Scientific}, TITLE = {Strict bounds and applications}, YEAR = {1988} } @ARTICLE{stark92c, AUTHOR = {Stark, P.B.}, JOURNAL = jgr, PAGES = {14,055-14,082}, TITLE = {Inference in Infinite-Dimensional Inverse Problems: {D}iscretization and Duality}, VOLUME = {97}, YEAR = {1992} } @ARTICLE{stark87a, AUTHOR = {Stark, P.B.}, JOURNAL = gjras, PAGES = {987-996}, TITLE = {Rigorous velocity bounds from soft $\tau (p)$ and $X(p)$ data}, VOLUME = {89}, YEAR = {1987} } @ARTICLE{stark92d, AUTHOR = {Stark, P.B.}, JOURNAL = {Stat. Probab. 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Kanamori}, JOURNAL = gjras, PAGES = {19-29}, TITLE = {Comparison of iterative back-projection inversion and generalized inversion without blocks: case studies in attenuation tomography}, VOLUME = {97}, YEAR = {1989} } @ARTICLE{khasminskii78, AUTHOR = {{Khas'minskii}, R.Z.}, JOURNAL = {Th. Prob. and its Appl. (transl. of Teorija Verojatnostei ee Primenenija)}, NOTE = {Wickwire, K. (transl)}, PAGES = {794-798}, TITLE = {A lower bound on the risks of non-parametric estimates of densities in the uniform metric}, VOLUME = {23}, YEAR = {1978} } @ARTICLE{mcleod96, AUTHOR = {{McL}eod, M.G.}, JOURNAL = jgr, PAGES = {2745-2764}, TITLE = {Spatial and temporal power spectra of the geomagnetic field}, VOLUME = {101}, YEAR = {1996} } @ARTICLE{oconnellJohnson91, AUTHOR = {{O'Connell}, D.R.H. and L.R. Johnson}, JOURNAL = jgr, PAGES = {6223-6236}, TITLE = {Progressive Inversion for Hypocenters and {P} Wave and {S} Wave Velocity Structure: {A}pplication to the {G}eysers, {C}alifornia, Geothermal Field}, VOLUME = {96}, YEAR = {1991} } @article{verejones70, author = {{Vere-Jones}, D.}, title = {Stochastic models for earthquake occurrence}, journal = jrssb, year = 1970, volume = 32, pages = {1-62} } @INCOLLECTION{verejones92, AUTHOR = {{Vere-Jones}, D.}, ADDRESS = {New York}, BOOKTITLE = {Statistics in the environmental and {E}arth sciences}, EDITOR = {Walden, A.T. and P. 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Stark}, year = 2005, title = {Minimax Expected Measure Confidence Sets for Restricted Location Parameters}, journal = {Bernoulli}, volume = 11, pages = {571-590} } @ARTICLE{evisonRhoades93, AUTHOR = {Evison, F.~F. and D.~A.~Rhoades}, JOURNAL = {New Zealand J.\ of Geol.\ and Geophys.}, PAGES = {51-60}, TITLE = {The precursory earthquake swarm in {N}ew {Z}ealand: hypothesis tests}, VOLUME = {36}, YEAR = {1993} } @ARTICLE{evisonRhoades97, AUTHOR = {Evison, F.~F. and D.~A.~Rhoades}, JOURNAL = {New Zealand J.\ of Geol.\ and Geophys.}, PAGES = {537-547}, TITLE = {The precursory earthquake swarm in {N}ew {Z}ealand: hypothesis tests {II}}, VOLUME = {40}, YEAR = {1997} } @BOOK{farmer74, AUTHOR = {Farmer, V.C.}, ADDRESS = {London}, PUBLISHER = {Mineralogical Society}, TITLE = {The infrared spectra of minerals}, YEAR = {1974} } @book {Fel71, AUTHOR = {Feller, William}, TITLE = {An introduction to probability theory and its applications. {V}ol. {I}{I}. }, PUBLISHER = {John Wiley \& Sons, Inc.}, ADDRESS = {New York}, YEAR = {1971}, PAGES = {xxiv+669}, MRCLASS = {60.00}, MRNUMBER = {42 \#5292}, } @book{feller68, author = {Feller, William}, title = {An Introduction to Probability Theory and Its Applications}, publisher = {John Wiley \& Sons, Inc.}, address = {New York}, volume = {I}, edition = {3rd}, year = 1968, pages = 509 } @ARTICLE{fisherHall90, AUTHOR = {Fisher, N.I. and P. 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Peltier}, JOURNAL = jgr, PAGES = {3645-3697}, TITLE = {Plate Tectonics and Aspherical {E}arth Structure: the Importance of Poloidal-Toroidal Coupling}, VOLUME = {92}, YEAR = {1987} } @ARTICLE{fortePeltier91, AUTHOR = {Forte, A.M. and W.R. Peltier}, JOURNAL = {Tectonophysics}, PAGES = {91-116}, TITLE = {Mantle convection and core-mantle boundary topography: explanations and implications}, VOLUME = {187}, YEAR = {1991} } @ARTICLE{forteEtal94, AUTHOR = {Forte, A.M. and Woodward, R.L. and Dziewonski, A.M.}, JOURNAL = jgr, PAGES = {21,857-21,877}, TITLE = {Joint inversions of seismic and geodynamic data for models of three-dimensional mantle heterogeneity}, VOLUME = {99}, YEAR = {1994} } @BOOK{fowler90, AUTHOR = {Fowler, C. M. R.}, ADDRESS = {New York}, PUBLISHER = {Cambridge University Press}, TITLE = {The solid {E}arth : an introduction to global geophysics}, YEAR = {1990} } @article{starkFrohlich85, author = {Stark, P.B. and C. 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Parker}, JOURNAL = jgr, PAGES = {3615-3622}, TITLE = {Travel-time inversion: a geometrical approach}, VOLUME = {84}, YEAR = {1979} } @PHDTHESIS{gee90, AUTHOR = {Gee, L.S.}, SCHOOL = {Massachusetts Institute of Technology}, TITLE = {New techniques for seismological studies of {E}arth structure}, YEAR = {1990} } @ARTICLE{geeJordan92, AUTHOR = {Gee, L.S. and T.H. Jordan}, JOURNAL = gji, PAGES = {363-390}, TITLE = {Generalized seismological data functionals}, VOLUME = {11}, YEAR = {1992} } @ARTICLE{genestZidek86, AUTHOR = {Genest, C. and J.V. Zidek}, JOURNAL = {Stat. Sci.}, PAGES = {114-148}, TITLE = {Combining probability distributions: a critique and an annotated bibliography (with comments and rejoinder)}, VOLUME = {1}, YEAR = {1986} } @TECHREPORT{genoveseEtal94, AUTHOR = {Genovese, C.R. and D.O. Gough and P.B. 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Engdahl}, JOURNAL = gji, PAGES = {429-465}, TITLE = {Traveltimes for Global Earthquake Location and Phase Identification}, VOLUME = {105}, YEAR = {1991} } @article{kerr80, author = {Kerr, R.A.}, title = {Quake prediction by animals gaining respect}, year = 1980, journal = {Science}, volume = 208, pages = {695-696} } @ARTICLE{kisslinger93, AUTHOR = {Kisslinger, C.}, JOURNAL = jgr, PAGES = {1913-1921}, TITLE = {The Stretched Exponential Function as an Alternative Model for Aftershock Decay Rate}, VOLUME = {98}, YEAR = {1993} } @ARTICLE{knopoff90, AUTHOR = {Knopoff, L.}, JOURNAL = {Earthquakes and Volcanoes}, PAGES = {206-208}, TITLE = {Intermediate-term earthquake prediction}, VOLUME = {22}, YEAR = {1990} } @article{knopoff00, AUTHOR = {Knopoff, L.}, JOURNAL = pnas, PAGES = {11,880-11,884}, TITLE = {The Magnitude Distribution of Declustered Earthquakes in Southern {C}alifornia}, VOLUME = {97}, YEAR = {2000} } @INPROCEEDINGS{knopoff83, AUTHOR = {Knopoff, L.}, ADDRESS = {Vienna, Austria}, BOOKTITLE = {Workshop on pattern recognition and analysis of seismicity}, PUBLISHER = {I.A.E.A.}, TITLE = {Stochastic modeling}, YEAR = {1983} } @INPROCEEDINGS{knopoff83b, AUTHOR = {Knopoff, L.}, ADDRESS = {Vienna, Austria}, BOOKTITLE = {Workshop on pattern recognition and analysis of seismicity}, PUBLISHER = {I.A.E.A.}, TITLE = {Statistical analysis}, YEAR = {1983} } @ARTICLE{kogutEtal92, AUTHOR = {Kogut, A. and G.F. 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Oldenburg}, JOURNAL = gji, PAGES = {343-362}, TITLE = {Approximate inverse mappings in {DC} resistivity problems}, VOLUME = {109}, YEAR = {1992} } @ARTICLE{libbrecht89, AUTHOR = {Libbrecht, K.G.}, JOURNAL = apj, PAGES = {1092}, TITLE = {Solar p-mode frequency splittings}, VOLUME = {336}, YEAR = {1989} } @ARTICLE{libbrecht88a, AUTHOR = {Libbrecht, K.G.}, JOURNAL = {Space Sci. Rev.}, PAGES = {275-301}, TITLE = {Solar and stellar seismology}, VOLUME = {47}, YEAR = {1988} } @ARTICLE{libbrecht88b, AUTHOR = {Libbrecht, K.G.}, JOURNAL = apj, PAGES = {510}, TITLE = {Solar p-mode phenomenology}, VOLUME = {334}, YEAR = {1988} } @ARTICLE{libbrechtKaufman88, AUTHOR = {Libbrecht, K.G. and J.M. Kaufman}, JOURNAL = {Astrophys. 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Williams and T.R. Madden} } @ARTICLE{wangEtal75, author = {{Wang}, C.~Y. and {Goodman}, R.~E. and {Sundaram}, P.~N. and {Morrison}, H.~F.}, title = "{Electrical resistivity of granite in frictional sliding: Application to earthquake prediction}", journal = grl, year = 1975, volume = 2, pages = {525-528}, adsurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1975GeoRL...2..525W&db_key=PHY}, adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} } @article{molchanKagan92, author = {{Molchan}, G.~M. and {Kagan}, Y.~Y.}, title = "{Earthquake prediction and its optimization}", journal = jgr, year = 1992, month = apr, volume = 97, pages = {4823-4838}, adsurl = {http://adsabs.harvard.edu/cgi-bin/nph-bib_query?bibcode=1992JGR....97.4823M&db_key=PHY}, adsnote = {Provided by the Smithsonian/NASA Astrophysics Data System} } @book{pyle99, author = {Pyle, D.}, year = 1999, title = {Data Preparation for Data Mining}, publisher = {Morgan Kaufman Publishers}, address = {San Francisco}, pages = 540 } @book{hastieEtal01, author = {Hastie, T. and Tibshirani, R. and Friedman, J.}, year = 2001, title = {The Elements of Statistical Learning--Data Mining, Inference and Prediction}, publisher = {Springer-Verlag}, address = {New York}, pages = 533 } @book{breimanEtal84, author = {Breiman, L. and Friedman, J. and Olshen, R. and Stone, C.}, year = 1984, title = {Classification and Regression Trees}, publisher = {Wadsworth & Brooks Cole}, address = {Monterey, CA}, pages = 358 } @book{berryLinoff00, author = {Berry, M.J.A. and Linoff, G.S.}, year = 2000, title = {Mastering Data Mining}, publisher = {John Wiley and Sons}, address = {New York}, pages = 494 } @book{rud01, author = {Rud, O.P.}, year = 2001, title = {Data Mining Cookbook}, publisher = {John Wiley and Sons}, address = {New York}, pages = 367 } @article{diGiovambattistaTyupkin00, author = {Di Giovambattista, R. and Yu S. Tyupkin}, title = {Spatial and temporal distribution of seismicity before the {Umbria-Marche} {September} 26, 1997 earthquakes}, journal = {Journal of Seismology}, volume = 4, pages = {589-598}, year = 2000 } @article{stothers04, author = {Stothers, R.B.}, year = 2004, title = {Earthquake prediction in antiquity}, journal = {Acient Hist. Bull.}, volume = 18, pages = {101-108} } @book{bertoin96, author = {Bertoin, J.}, title = {L\'evy Processes}, year = {1996}, publisher = {Cambridge University Press}, address = {Cambridge, UK} } @book{casellaBerger02, author = {Casella, G. and Berger, R. L.}, title = {Statistical Inference}, year = {2002}, edition = {Second}, publisher = {Duxbury Press}, address = {Pacific Grove, CA} } @article{dattaEtal00, author = {Datta, G.S. and Mukerjee, R. and Reid, N. and Malay, G.}, title = {Bayesian Prediction with Approximate Frequentist Validity}, journal = {Annals of Statistics}, pages = {1414--1426}, year = {2000}, volume = {28} } @article{freedman99, author = {Freedman, D.A.}, title = {On the {B}ernstein von {M}ises theorem with infinite-dimensional parameters}, journal = {Annals of Statistics}, pages = {1119--1140}, year = {1999}, volume = {27} } @book{gelmanEtal03, author = {Gelman, A. and Carlin, J. B. and Stern, H.S. and Rubin, D. B.}, title = {Bayesian Data Analysis}, year = {2003}, publisher = {CRC Press}, address = {New York}, edition = {Second} } @book{gilksEtal96, editor = {Gilks,W. R. and Richardson,S. and Spiegelhalter,D. J.}, title = {Markov Chain {M}onte {C}arlo in Practice}, year = {1996}, publisher = {Chapman \& Hall}, address = {London} } @article{lassasSiltanen04, author = {Lassas, M. and Siltanen, S.}, title = {Can one use total variation for edge-preserving {B}ayesian inversion}, journal = {Inverse Problems}, pages = {1537--1563}, year = {2004}, volume = {20} } @article{levineCasella03, author = {Levine, R.A. and Casella, G.}, title = {Implementing matching priors for frequentist inference}, journal = {Biometrika}, pages = {127--137}, year = {2003}, volume = {90} } @article{lindleySmith72, author = {Lindley,D. V. and Smith,A. F. M.}, title = {Bayes Estimates for the Linear Model}, journal = {Journal of the Royal Statistical Society, B}, pages = {1--18}, year = {1972}, volume = {1} } @article{malayKim01, author = {Malay, G. and Kim, Y.}, title = {The {B}ehrens-{F}isher Problem Revisited: A {B}ayes-Frequentist Synthesis}, journal = {The Canadian Journal of Statistics}, pages = {5--17}, year = {2001}, volume = {29} } @article{mukerjeeReid99, author = {Mukerjee, R. and Reid, N.}, title = {On a Property of Probability Matching Priors: Matching the Alternative Coverage Probabilities}, journal = {Biometrika}, pages = {333--340}, year = {1999}, volume = {86} } @book{rice95, author = {Rice, J. A.}, title = {Mathematical Statistics and Data Analysis}, year = {1995}, publisher = {Duxbury Press}, edition = {Second}, adress = {Belomont, California} } @InCollection{woycz01, author = {Woyczy\'nski, W. A.}, title = {L\'evy processes in the physical sciences}, booktitle = {L\'evy Processes: Theory and Applications}, pages = {241--266}, publisher = {Birk\'auser}, year = {2001}, editor = {Barndoff-{N}ielsen, O. E. and Mikosch, T. and Resnick, S.} } @article{zhang03, author = {Zhang, T. and Woodroofe, M.}, title = {Credible and confidence sets for restricted parameter spaces}, journal = {Journal of Statistical Planning and Inference}, pages = {479--490}, year = {2003}, volume = {115} } @article{doksum74, title = {Empirical Probability Plots and Statistical Inference for Nonlinear Models in the Two-Sample Case}, author = {Doksum, Kjell}, journal = annstat, volume = {2}, number = {2}, jstor_formatteddate = {Mar., 1974}, pages = {267--277}, url = {http://www.jstor.org/stable/2958036}, ISSN = {00905364}, abstract = {Let X and Y be two random variables with continuous distribution functions F and G and means ? and ?. In a linear model, the crucial property of the contrast ? = ? - ? is that X + ? =L Y, where = L denotes equality in law. When the linear model does not hold, there is no real number ? such that X + ? = L Y. However, it is shown that if parameters are allowed to be function valued, there is essentially only one function $\Delta(\bullet)$ such that X + ?(X) = L Y, and this function can be defined by ?(x) = G-1(F(x)) - x. The estimate ?N(x) = Gn -1(Fm(x)) - x of ?(x) is considered, where Gn and Fm are the empirical distribution functions. Confidence bands based on this estimate are given and the asymptotic distribution of $\hat{\Delta}_N(\bullet)$ is derived. For general models in analysis of variance, contrasts that can be expressed as sums of differences of means can be replaced by sums of functions of the above kind.}, publisher = {Institute of Mathematical Statistics}, copyright = {Copyright © 1974 Institute of Mathematical Statistics}, year = {1974}, } @article{neymanEtal90, title = {On the Application of Probability Theory to Agricultural Experiments. Essay on Principles. Section 9.}, author = {Splawa-Neyman, Jerzy and Dabrowska, D. M. and Speed, T. P.}, journal = {Statistical Science}, volume = {5}, number = {4}, jstor_formatteddate = {Nov., 1990}, pages = {465--472}, url = {http://www.jstor.org/stable/2245382}, ISSN = {08834237}, abstract = {In the portion of the paper translated here, Neyman introduces a model for the analysis of field experiments conducted for the purpose of comparing a number of crop varieties, which makes use of a double-indexed array of unknown potential yields, one index corresponding to varieties and the other to plots. The yield corresponding to only one variety will be observed on any given plot, but through an urn model embodying sampling without replacement from this doubly indexed array, Neyman obtains a formula for the variance of the difference between the averages of the observed yields of two varieties. This variance involves the variance over all plots of the potential yields and the correlation coefficient r between the potential yields of the two varieties on the same plot. Since it is impossible to estimate r directly, Neyman advises taking r = 1, observing that in practice this may lead to using too large an estimated standard deviation, when comparing two variety means.}, publisher = {Institute of Mathematical Statistics}, language = {}, copyright = {Copyright © 1990 Institute of Mathematical Statistics}, year = {1990}, } @article{kaplan87, title = {A Method of One-Sided Nonparametric Inference for the Mean of a Nonnegative Population}, author = {Kaplan, H.M.}, journal = {The American Statistician}, volume = {41}, year = 1987, pages = {157-158} } @article{steck69, title = {The {S}mirnov Two Sample Tests as Rank Tests}, author = {Steck, G.P.}, journal = {Ann. Math. Statist.}, Volume = 40, year = 1969, pages = {1449-1466} } @article{serfling74, title = {Probability Inequalities for the Sum in Sampling without Replacement}, author = {Serfling, R.J.}, journal = annstat, volume = 2, year = 1974, pages = {39-48} } @article{chernoff52, author = {Chernoff, H.}, title = {A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations}, journal = {Ann. Math. Stat.}, volume = 23, pages = {493-507}, year = 1952 } @article{massart00, jstor_articletype = {primary_article}, title = {About the Constants in Talagrand's Concentration Inequalities for Empirical Processes}, author = {Massart, Pascal}, journal = {The Annals of Probability}, jstor_issuetitle = {}, volume = {28}, number = {2}, jstor_formatteddate = {Apr., 2000}, pages = {863--884}, url = {http://www.jstor.org/stable/2652950}, ISSN = {00911798}, abstract = {We propose some explicit values for the constants involved in the exponential concentration inequalities for empirical processes which are due to Talagrand. It has been shown by Ledoux that deviation inequalities for empirical processes could be obtained by iteration of logarithmic Sobolev type inequalities. Our approach follows closely that of Ledoux. The improvements that we get with respect to Ledoux's work are based on refinements of his entropy inequalities and computations.}, publisher = {Institute of Mathematical Statistics}, year = {2000} } @article{neterEtal85, jstor_articletype = {primary_article}, title = {Characteristics of Dollar-Unit Taints and Error Rates in Accounts Receivable and Inventory}, author = {Neter, John and Johnson, Johnny R. and Leitch, Robert A.}, journal = {The Accounting Review}, volume = {60}, number = {3}, jstor_formatteddate = {Jul., 1985}, pages = {488--499}, url = {http://www.jstor.org/stable/246570}, ISSN = {00014826}, abstract = {This note extends the analysis of line-item error taints and error rates originally presented in Johnson, Leitch and Neter [1981] by first considering the distribution of dollar-unit taints, the relevant distribution when simple random sampling is applied to monetary units. Next, empirical evidence on the relation between the taint amount and book amount is presented. Finally, empirical findings on the magnitudes of dollar-unit error rates are provided.}, publisher = {American Accounting Association}, year = {1985}, } Felix, W.L., R.A. Grimlund, F.J. Koster, and R.S. Roussey. 1990. Arthur AndersenŐs new monetary unit sampling approach. Auditing: A Journal of Practice & Theory (Vol. 9 No. 3, Fall): 1-16. Finley, D.R., and J.L. Boockholdt. 1987. A continuous constrained optimization model for audit sampling. Auditing: A Journal of Practice & Theory (Vol. 6 No. 2, Spring): 22-39. Beck, P.J., and I. Solomon. 1985. Ex Post sampling risks and decision rule choice in substantive testing. Auditing: A Journal of Practice & Theory (Vol. 4 No. 2, Spring): 1-10. Finley, D.R. 1983. Normal form decision theory development of the audit sampling model. Auditing: A Journal of Practice & Theory (Vol. 3 No. 1, Fall): 104-115. Finley, D.R. 1994. Game theoretic analysis of discovery sampling for internal fraud control auditing. Contemporary Accounting Research (Summer): 91-114 Grimlund, R.A. 1990. Combined Monetary Unit Sampling from Several Independent Populations: Sample Size Planning and Sample Evaluation with the Moment Method. Contemporary Accounting Research (Spring): Neter, J., Y.S. Kim, and L.E. Graham. 1984. On combining stringer bounds for independent monetary unit samples from several populations. Auditing: A Journal of Practice & Theory (Vol. 4 No. 1, Fall): 75-88. Abdolmohammadi, M.J., and P.D. Berger. 1986. A Test on the Accuracy of Probability Assessment Techniques in Auditing. Contemporary Accounting Research (Fall): 149-165. Dunmore, P.V. 1986. On the Comparison of Dollar-Unit and Stratified Mean-Per-Unit Estimators. Contemporary Accounting Research (Fall): 125-148. Smieliauskas, W. 1986. Control of Sampling Risks in Auditing. Contemporary Accounting Research (Fall): 102-124. Finley, D. R. 1985. Counterexamples to proposed dollar-unit sampling algorithm. Journal of Accounting Research (Spring): 402-404. Menzefricke, U. 1983. On sampling plan selection with dollar-unit sampling. Journal of Accounting Research (Spring): 96-105. Rohrbach, K. J. 1986. Monetary unit acceptance sampling. Journal of Accounting Research (Spring): 127-150. Felix, W. L. Jr., and R. A. Grimlund. 1977. A sampling model for audit test of composite accounts. Journal of Accounting Research (Spring): 23-41. Wright, D.W. 1991. Augmenting a sample selected with probabilities proportional to size. Auditing: A Journal of Practice & Theory (Vol. 10, No. 1, Spring): 145-158. Chan, H. and W. Smieliauskas. 1990. Further tests of the modified moment bound in audit sampling of accounting populations. Auditing: A Journal of Practice & Theory (Vol. 9 No. 3, Fall): 167-182.