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Communications in Statistics - Theory and Methods Volume 32, 2003 - Issue 4
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Original Articles

Inference Using Latent Variables for Mixtures of Distributions for Censored Data with Partial Identification

Alberto Contreras-Cristán Department of Probability and Statistics, IIMAS, National University of Mexico, Mexico, D.F., MexicoCorrespondence[email protected]
,
Eduardo Gutiérrez-Peña Department of Probability and Statistics, IIMAS, National University of Mexico, Mexico, D.F., Mexico
&
Federico O'Reilly Department of Probability and Statistics, IIMAS, National University of Mexico, Mexico, D.F., Mexico
Pages 749-774 | Published online: 02 Sep 2006

References

  • Anaya , K. and O'Reilly , F. 2000 . Fisher's observed information matrix for location and scale parameters under type I censoring . Communications in Statistics, Theory and Methods , 29 : 1527 – 1537 .
  • Berger , J. O. and Bernardo , J. M. 1992 . “ On the development of reference priors (with discussion) ” . Bayesian Statistics 4 Edited by: Bernardo , J. M. 35 – 60 . Oxford : Oxford University Press .
  • Bernardo , J. M. and Smith , A. F. M. 1994 . Bayesian Theory New York : Wiley .
  • Cox , D. R. 1958 . The analysis of exponentially distributed life-times with two types of failure . J. R. Statist. Soc. B , 21 : 411 – 421 .
  • Díaz-Francés , E. 1998 . “ Scientific Application of Maximum Likelihood in Multiparametric Problems ” . Mexico : CIMAT . Ph.D. Dissertation
  • Dempster , A. P. , Laird , N. and Rubin , D. B. 1977 . Maximum likelihood from incomplete data via de EM algorithm . J. R. Statist. Soc. B , 39 : 1 – 38 .
  • Diebolt , J. and Robert , C. P. 1994 . Estimation of finite mixture distributions through Bayesian sampling . J. R. Statist. Soc. B , 56 : 363 – 375 .
  • Gamerman , D. 1997 . Markov Chain Monte Carlo. Stochastic simulation for Bayesian inference London : Chapman and Hall .
  • Gelfand , A. E. and Smith , A. F. M. 1990 . Sampling-based approaches to calculating marginal densities . J. Amer. Statist. Assoc. , 85 : 398 – 409 .
  • Gelman , A. , Carlin , J. B. , Stern , H. S. and Rubin , D. B. 1995 . Bayesian Data Analysis London : Chapman and Hall .
  • Gilks , W. R. 1996 . “ Full conditional distributions ” . In Markov Chain Monte Carlo in Practice Edited by: Gilks , W. R. , Richardson , S. and Spiegelhalter , D. J. pp. 75 – 88 . London : Chapman and Hall .
  • Jeffreys , H. 1961 . Theory of Probability. , 3rd ed. Oxford : Oxford University Press .
  • Meeker , W. Q. and Escobar , L. A. 1998 . Statistical Methods for Reliability data New York : John Wiley & Sons .
  • Mendenhall , W. and Hader , R. J. 1958 . Estimation of parameters of mixed exponentially distributed failure time distributions from censored life test data . Biometrika , 45 : 504 – 520 .
  • Nelder , J. A. and Mead , R. 1965 . A simplex method for function minimization . Computer Journal , 7 : 308 – 313 .
  • Redner , R. A. and Walker , H. F. 1984 . Mixture densities, maximum likelihood and the EM algorithm . SIAM Review , 26 : 195 – 239 .
  • Roberts , G. O. “ Markov chain concepts related to sampling algorithms ” . In Markov Chain Monte Carlo in Practice Edited by: Gilks , W. R. , Richardson , S. and Spiegelhalter , D. J. pp. 45 – 58 . London : Chapman and Hall .
  • Sun , D. 1997 . A note on noninformative priors for Weibull distributions . J. Statist. Plann. Infer. , 61 : 319 – 338 .
  • Tanner , M. A. 1996 . Tools for Statistical Inference. , 3rd ed. New York : Springer Verlag .
  • Tanner , M. and Wong , W. H. 1987 . The calculation of posterior distributions by data augmentation . J. Amer. Statist. Assoc. , 82 : 529 – 550 .

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