Browse > Article

Semiparametric Bayesian Regression Model for Multiple Event Time Data  

Kim, Yongdai (Department of Statistics, Ewha Womans University)
Publication Information
Journal of the Korean Statistical Society / v.31, no.4, 2002 , pp. 509-518 More about this Journal
Abstract
This paper is concerned with semiparametric Bayesian analysis of the proportional intensity regression model of the Poisson process for multiple event time data. A nonparametric prior distribution is put on the baseline cumulative intensity function and a usual parametric prior distribution is given to the regression parameter. Also we allow heterogeneity among the intensity processes in different subjects by using unobserved random frailty components. Gibbs sampling approach with the Metropolis-Hastings algorithm is used to explore the posterior distributions. Finally, the results are applied to a real data set.
Keywords
Frailty; Gibbs sampling; Poisson process; proportional intensity;
Citations & Related Records
연도 인용수 순위
  • Reference
1 /
[ Basawa, I. V.;Prakasa Rao, B. L. S. ] / Statistical Inference for Stochastic Processes
2 Nonparametric Bayesian estimators for counting processes /
[ Kim, Y. ] / The Annals of Statistics   ScienceOn
3 Semiparametric Bayesian analysis of multiple event time data /
[ Sinha, E. ] / Journal of the American Statistical Association   ScienceOn
4 Nonparametric Bayesian analysis of survival time data /
[ Kalbfleisch, J. D. ] / Journal of the Royal Statistical Society
5 /
[ Karlin, S.;Taylor, H. M. ] / A First Course in Stochastic Processes(2nd ed.)
6 Semiparametric likelihood ratio inference /
[ Murphy, S. A.;van der Vaart, A. W. ] / The Annals of Statistics   ScienceOn
7 Bayesian nonparametric statistical inference for Poisson point processes /
[ Lo, A. Y. ] / Zeitschrift fur Wahrscheinlichkeitstheorie und Verwandte Gebiete
8 Markov chain Monte Carlo method and its application /
[ Brooks, S. P. ] / The Statistician
9 Semi-Markov models for partially censored data /
[ Lagakos, S. W.;Sommer, C. J.;Zelen, M. ] / Biometrika   ScienceOn
10 Cox's regression models for counting processes : A large sample study /
[ Andersen, P. K.;Gill, R. D. ] / The Annals of Statistics   ScienceOn
11 A model for association in bivariate life-tables and its application in epidemiological studies of chronic disease incidence /
[ Clayton, D. ] / Biometrika   ScienceOn
12 The veterans administration study of chemoprophylaxis for recurrent stage Ⅰ bladder tumors /
[ Byar, D. P.;M. Pavone-Macaluso(ed.);P. H. Smith(ed.);F. Edsmyn(ed.) ] / Bladder Tumors and Other Topics in Urological Oncology
13 Regression analysis of multivariate incomplete failure time data by modeling marginal distribution /
[ Wei, L. J.;Lin, D. Y.;Weissfeld, L. ] / Journal of the American Statistical Association   ScienceOn
14 Frailty models for multiple event times /
[ Oakes, D.;J. P. Klein(ed.);P. K. Goel(ed.);Dordrecht(ed.) ] / Survival Analysis : State of the Art
15 The impact of heterogeneity in individual frailty on the dynamics of mortality /
[ Vaupel, J. W.;Manton, K. G.;Stallard, E. ] / Demography   ScienceOn