Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
권호 표지

Mixtures of Beta Processes Priors for Right Censored Survival Data

  • Kim, Yongdai (Department of Statistics, Hankuk University of Foreign Studies)
  • Published : 2001.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

In order to combine parametric and nonparametric approaches together for survival analysis with censored observations, a new class of priors called mixtures of the beta processes is introduced. It is shown that mixtures of beta processes priors generalized the well known priors - mixtures of Dirichlet processes, and they are conjugate with right censored observations. Formulas for computing the posterior distribution are derived. Finally, a real data set is analyzed for illustrational purpose.

Keywords

References

  1. Annals of Statistics v.2 Mixtures of Dirichlet processes with applications to Bayesian nonparametric problems Antoniak, C. E.
  2. Journal of Royal Statistical Society v.B no.57 Approximate random variate generation from infinitely divisible distribution with application to Bayesian inference Damien, P.;Laud, P. W.;Smith, A. F. M.
  3. Annals of Probability v.2 Tailfree and neutral random probabilities and their posterior distributions Doksum, K. A.
  4. Annals of Statistics v.22 Bayesian nonparametric estimation for incomplete data via successive substitution sampling Doss, H.
  5. Annals of Statistics v.7 Bayesian nonparametric estimation based on censored data Ferguson. T. S.;Phadia, E. G.
  6. Annals of Statistics v.18 Nonparametric Bayes estimators based on beta processes in models for life history dats Hjort, N. L.
  7. Biometrics v.35 Testing to determine the underlying distribution using randomly censored data Hollander, M.;Proschan, F.
  8. Journal of the American Statistical Association v.53 Nonparametric estimation from incomplete observations Kaplan, E. L.;Meier, P.
  9. Biometrika v.63 A Cramer-von Mises statistic for randomly censored data Koziol, J. A.;Green, S. B.
  10. Biometrics v.39 What price kaplan-Meier Miller, R. G.;Jr.
  11. Annals of Statistics v.25 Beta-Stacy processes and a generalization of the poly-urn scheme Walker, S.;Muliere, P.