ABSTRACT

This chapter considers the estimation of N based on Type-I censored data. The choice of prior plays an important role in any Bayesian inference problem. Extensive simulation experiments have been performed to assess the effectiveness of the proposed methods. The problem has a close resemblance to the problem of estimating n for a binomial random variable. The choice of prior plays an important role in any Bayesian inference problem. An independent Poisson prior has been assigned to N and for three different lifetime distributions, quite flexible priors to the unknown parameters of the distribution of T have been assumed. Generalized exponential model: Gupta and Kundu introduced the generalized exponential distribution which behaves very similarly as the Weibull or gamma distribution.