This is a preview and has not been published. View submission

Estimation of the Inverse Weibull Distribution Parameters under Type-I Hybrid Censoring

Authors

  • Mohammad Kazemi Shahrood University of Technology
  • Mina Azizpoor

Abstract

The hybrid censoring is a mixture of type-I and type-II censoring schemes. This paper presents the statistical inferences of the inverse Weibull distribution parameters when the data are type-I hybrid censored. First, we consider the maximum likelihood estimates of the unknown parameters. It is observed that the maximum likelihood estimates can not be obtained in closed form. We further obtain the Bayes estimates and the corresponding highest posterior density credible intervals of the unknown parameters under the assumption of independent gamma priors using the importance sampling procedure. We also compute the approximate Bayes estimates using Lindley's approximation technique. The performance of the Bayes estimates have been compared with maximum likelihood estimates through the Monte Carlo Markov chain techniques. Finally, a real data set have been analysed for illustration purpose.

Downloads

How to Cite

Kazemi, M., & Azizpoor, M. Estimation of the Inverse Weibull Distribution Parameters under Type-I Hybrid Censoring. Austrian Journal of Statistics, 50(5), 38–51. Retrieved from https://ajs.or.at/index.php/ajs/article/view/1134