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References

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S. Geman and D. Geman. Stochastic relaxation, Gibbs distribution, and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Machine Intell. 6:721--741, 1984.

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W.K. Hastings. Monte Carlo sampling methods using Markov chains and their applications Biometrika, 57:97--109, 1970.

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S.C. Heath. Generating consistent genotypic configurations for multi-allelic loci and complex pedigrees Hum. Hered., in press, 1998.

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K. Lange. Mathematical and statistical methods for genetic analysis. Statistics for biology and health, Springer, Chapter 9, Pp.142-163, 1997.

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S. Lin, E.A. Thompson and E. Wijsman. An algorithm for Monte Carlo estimation of genotype probabilities on complex pedigrees. Ann. Hum. Genet., 58:343-357, 1994.

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S. Lin. A scheme for constructing an irreducible Markov chain for pedigree data. Biometrics, 51:318-322, 1995.

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S. Lin. Monte Carlo methods in genetic analysis. in Genetic mapping and DNA sequencing, T.P. Speed and M.S. Waterman eds., IMA Volumes in mathematics and computing, Springer-Verlag, Pp. 15-37, 1995.

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N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller and E. Teller. Equations of state calculations by fast computing machines. J. Chem. Phys., 21:1087--1092, 1953.

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J.W. MacCluer, J.L. Vandeburg, B. Read and O.A. Ryder. Pedigree analysis by computer simulation. Zoo Biol., 5:149--160, 1986.

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J. Ott. Computer simulation methods in linkage analysis. Proc. Nat. Acad. Sci. USA, 86:4175--4178, 1989.

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J. Ott. Maximum likelihood estimation by counting methods under polygenic and mixed models in human pedigrees. Am. J. Hum. Genet., 31:161-175, 1979.

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L.M. Ploughman and M. Boehnke. Estimating the power of a proposed linkage study for a complex genetic trait. Am. J. Hum. Genet., 44: 543--551, 1989.

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E.A. Thompson and S.W. Guo. Evaluation of likelihood ratios for complex genetic models. IMA J. Math. Appl. Med. Biol., 8:149--169, 1991.

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E.A. Thompson. Monte Carlo likelihood in genetic mapping. Statistical Science, 9:355-366, 1994.


Simon Cawley
Wed Apr 22 19:50:08 PDT 1998