Besag, J., Green, P., Higdon, P. J., and Mengersen, K. (1995), “Bayesian Computation and Stochastic Systems” (with discussion), Statistical Science
, 10, 3–66.MATHCrossRefMathSciNet
Best, N., Cowles, M. K., and Vines, K. (1995), CODA Convergence Diagnosis and Output Software for Gibbs Sampling Output Version 0.30, Cambridge, MA: MRC Biostatistics Unit.
Carlin, B. P., and Chib, S. (1995), “Bayesian Model Choice via Markov Chain Monte Carlo Methods,” Journal of the Royal Statistical Society
, Ser. B, 57, 473–484.MATH
Carlin, B. P., and Louis, T. A. (2000), Bayes and Empirical Bayes Methods for Data Analysis
(2nd ed.), London: Chapman and Hall/CRC Press.MATH
Celeux, G., Hurn, M., and Robert, C. (2000), “Computational and Inferential Difficulties With Mixture Posterior Distributions,” Journal of the American Statistical Association
, 95, 957–970.MATHCrossRefMathSciNet
Cohen, A. C. (1991), Truncated and Censored Samples Theory and Applications
, New York: Marcel Dekker.MATH
Contreras-Cristan, A., Gutierrez-Pena, E., and OReilly, F. (2003), “Inference Using Latent Variables for Mixtures of Distributions for Censored Data with Partial Identification,” Communications in Statistics—Theory and Methods
, 32, 749–774.MATHCrossRefMathSciNet
Darvasi, A., and Soller, M. (1992), “Selective Genotyping for Determination of Linkage Between a Marker Locus and a Quantitative Trait Locus,” Theoretical and Applied Genetics
, 85, 353–359.CrossRef
David, H. A. (1970), Order Statistics
, New York: Wiley.MATH
Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), “Maximum Likelihood from Incomplete Data via the EM Algorithm” (with discussion), Journal of the Royal Statistical Society
, Ser. B, 39, 1–38.MATHMathSciNet
Gelman, A., and Rubin, B. D. (1992), “Inference From Iterative Simulation Using Multiple Sequences,” Statistical Science
, 7, 457–511.CrossRef
Geman, S., and Geman, D. (1984), “Stochastic Relaxation, Gibbs Distributions and the Bayesian Restoration of Images,” IEEE Transactions on Pattern Analysis and Machine Intelligence
, 6, 721–741.MATHCrossRef
Geweke, J. (1992), “Evaluating the Accuracy of Sampling Based Approaches to Calculating Posterior Moments,” in Bavesian Statistics 4, eds. J. M. Bernado, J. O. Berger, A. P. David, and A. F. M. Smith, Cambridge, MA: Oxford University Press.
Gilks, W., Richardson, S., and Spiegelhalter, D. (1996), Markov Chain Monte Carlo in Practice
, London: Chapman Hall.MATH
Green, P. J. (1995), “Reversible Jump Markov Chain Monte Carlo Computation and Bayesian Model Determination,” Biometrika
, 82, 711–732.MATHCrossRefMathSciNet
Hastings, W. K. (1970), “Monte Carlo Sampling Methods Using Markov Chains and Their Applications,” Biometrika
, 57, 97–109.MATHCrossRef
Heath, S. C. (1997), “Markov Chain Monte Carlo Segregation and Linkage Analysis for Oligenic Models,” American Journal of Human Genetics
, 61, 748–760.CrossRef
Heidelberger, P., and Welch, P. (1983), “Simulation Run Length Control in the Presence of an Initial Transient,” Operations Research
, 31, 1109–1144.MATHCrossRef
Hsiao, C. K. (1997), “Approximate Bayes Factors When a Mode Occurs on the Boundary,” Journal of the American Statistical Association
, 92, 656–663.MATHCrossRefMathSciNet
Ihaka, R., and Gentleman, R. (1996), “R: A Language for Data Analysis and Graphics,” Journal of Computational and Graphical Statistics
, 5, 299–314.CrossRef
Lander, E. S., and Botstein, D. (1989), “Mapping Mendelian Factors Underlying Quantitative Traits using RFLP Linkage Maps,” Genetics, 121, 185–199.
Lebowitz, R. J., Soller, M., and Beckmann, J. S. (1987), “Trait-Based Analyses for the Detection of Linkage Between Marker Loci and Quantitative Trait Loci in Crosses Between Inbred Lines,” Theoretical and Applied Genetics
, 73, 556–562.CrossRef
Lee, S., Park, S. H., and Park, J. (2003), “The Proportional Hazards Regression With a Censored Covariate,” Statistics and Probability Letters
, 61, 309–319.MATHCrossRefMathSciNet
McLachlan, G. J., and Jones, P. N. (1988), “Fitting Mixture Models to Grouped and Truncated Data via the EM Algorithm,” Biometrics
, 44, 571–578.MATHCrossRef
McLaren, C. E., Wagstaff, M., Brittenham, G. M., and Jacobs, A. (1991), “Detection of Two-Component Mixtures of Lognormal Distributions in Grouped, Doubly Truncated Data: Analysis of Red Blood Cell Volume Distributions,” Biometrics
Mengersen, K. L., and Robert, C. P. (1996), “Testing for Mixtures: A Bayesian, Entropic Approach,” in Bavesian Statistics 5, eds. J. M. Bernando, J. O. Berger, A. P. Dawid, A. F. M. Smith, Cambridge, MA: Oxford University Press, pp. 225–276.
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., and Teller, E. (1953), “Equations of State Calculations by Fast Computing Machines,” Journal of Chemical Physics
, 21, 1087–1092.CrossRef
Muranty, H., and Goffinet, B. (1997), “Selective Genotyping for Location and Estimation of the Effect of a Quantitative Trait Locus,” Biometrics
, 53, 629–643.MATHCrossRef
Ord, K., and Bagchi, U. (1983), “The Truncated Normal-Gamma Mixture as a Distribution for Lead Time Demand,” Naval Research Logistics Quarterly
, 30, 359–365.MATHCrossRef
Pack, S. E., and Morgan, B. J. T. (1990), “A Mixture Model for Interval-Censored Time-to-Response Quantal Assay Data,” Biometrics
, 46, 749–757.CrossRef
Payne, R. W., et al. (1993), Genstat 5, Release 3 Reference Manual, Oxford: Oxford University Press.
Pettitt, A. N. (1985), “Re-weighted Least Squares Estimation with Censored and Grouped Data: An Application of the EM Algorithm,” Journal of the Royal Statistical Society
, Ser. B. 47, 253–260.MathSciNet
Raftery, A. E. (1996), “Hypothesis Testing and Model Selection,” in Markov Chain Monte Carlo in Practice, eds. W. J. Gilks, S. Richardson, and D. J. Spiegelhalter London: Chapman and Hall, pp. 163–188.
Raftery, A. L., and Lewis, S. (1992), “How Many Iterations in the Gibbs Sampler?” in Bayesian Statistics 4, eds. J. M. Bernado, J. O. Berger, A. P. David, and A. F. M. Smith, Oxford: Oxford University Press, p. 763–774.
Richardson, S., and Green, P. J. (1997), “On Bayesian Analysis of Mixtures With an Unknown Number of Components,” Journal of the Royal Statistical Society
, Ser. B, 50, 731–792.CrossRefMathSciNet
Robert, C. (1996), “Mixtures of Distributions: Inference and Estimation,” in Markov Chain Monte Carlo in Practice, eds. W. Gilks, S. Richardson, and D. Spiegelhalter, London: Chapman and Hall.
Robert, C. P. (1994), The Bayesian Choice
, New York: Springer.MATH
Robert, C. P., and Casella, G. (1999), Monte Carlo Statistical Methods
, New York: Springer Verlag.MATH
Satagopan, J. M., Yandell, B. S., Newton, M. A., and Osborn, T. C. (1996), “A Bayesian Approach to Detect Quantitative Trait Loci using Markov Chain Monte Carlo,” Genetics, 144, 805–816.
Schneider, H. (1988), Truncated and Censored Samples from Normal Populations, New York: Marcel Dekker.
Sillanpää, M. J., and Arjas, E. (1998), “Bayesian Mapping of Multiple Quantitative Trait Loci from Incomplete Line Cross Data,” Genetics, 148, 1373–1388.
Smith, A. F. M., and Roberts, G. O. (1993), “Bayesian Computation via the Gibbs Sampler and Related Markov Monte Carlo Methods,” Journal of the Royal Statistical Society
, Ser. B, 55, 3–23.MATHMathSciNet
Smith, M. D., and Moffatt, P. G. (1999), “Fisher’s Information on the Correlation Coefficient in Bivariate Logistic Models,” Australian and New Zealand Journal of Statistics
, 41, 315–330.MATHCrossRefMathSciNet
Spiegelhalter, D., Thomas, A., Best, N., and Gilks, W. (1995), BUGS. Bayesian inference Using Gibbs Sampling, Version 0.50, Cambridge: MRC Biostatistics Unit.
Stephens, D. A., and Fisch, R. D. (1998), “Bayesian Analysis of Quantitative Trait Locus Data Using Reversible Jump Markov Chain Monte Carlo,” Biometrics
, 54, 1334–1347.MATHCrossRef
Stephens, D. A., and Smith, A. F. M. (1993), “Bayesian Inference in Multipoint Gene Mapping,” Annals of Human Genetics
, 57, 65–82.CrossRef
Stephens, M. (2000a), “Bayesian Analysis of Mixtures With an Unknown Number of Components—An Alternative to Reversible Jump Methods,” The Annals of Statistics
, 28, 40–74.MATHCrossRefMathSciNet
— (2000b), “Dealing With Label-Switching in Mixture Models,” Journal of the Royal Statistical Society
, Ser. B, 62, 795–809.MATHCrossRefMathSciNet
Tanner, M. A. (1993), Tools for Statistical Inference
(2nd ed.), New York: Springer-Verlag.MATH
Tanner, M. A., and Wong, W. H. (1987), “The Calculation of Posterior Distributions by Data Augmentation” (with discussion), Journal of the American Statistical Association
, 82, 528–550.MATHCrossRefMathSciNet
Tweedie, R. L., and Mengersen, K. (1996), “Rates of Convergence of the Hastings and Metropolis Algorithms,” The Annals of Statistics
, 24, 101–121.MATHCrossRefMathSciNet
Uimari, P., and Sillanpää, M. J. (2001), “Bayesian Oligogenic Analysis of Quantitative and Qualitative Traits in General Pedigrees,” Genetic Epidemiology
, 21, 224–242.CrossRef
Vogl, C., and Xu, S. (2002), “Qtl Analysis in Arbitrary Pedigrees with Incomplete Marker Information,” Heredity
, 89, 339–345.CrossRef
Wang, Q. H., and Li, G. (2002), “Empirical Likelihood Semiparametric Regression Analysis Under Random Censorship,” Journal of Multivariate Analysis
, 83, 469–486.MATHCrossRefMathSciNet
Yi, N. J., and Xu, S. Z. (2002), “Linkage Analysis of Quantitative Trait Loci in Multiple Line Crosses,” Genetica
, 114, 217–230.CrossRef