Abstract:

The nonparametric Bayesian estimation of population distribution with interval censored data based on Dirichlet process as a prior distribution is gived. By random simulation for some common distributions, the effects of some prior distributions on the estimated results are discussed. Comparison between the proposed method and the parametric maximum likelihood method shows similar estimation effects.

Key words: Dirichlet process; interval censored data; Bayesian estimation; nonparametric estimation