Bayesian inference and optimal plan for the family of inverted exponentiated distributions under doubly censored data

Year 2025, Early Access, 1 - 26

Chandan Kumar Gupta , Prakash Chandra , Yogesh Mani Tripathi , Shuo-jye Wu

Abstract

In this paper, we consider inference upon unknown parameters of the family of inverted exponentiated distributions when it is known that data are doubly censored. Maximum likelihood and Bayes estimates under different loss functions are derived for estimating the parameters. We use Metropolis-Hastings algorithm to draw Markov chain Monte Carlo samples, which are used to compute the Bayes estimates and construct the Bayesian credible intervals. Further, we present point and interval predictions of the censored data using the Bayesian approach. The performance of proposed methods of estimation and prediction are investigated using simulation studies, and two illustrative examples are discussed in support of the suggested methods. Finally, we propose the optimal plans under double censoring scheme.

Keywords

Bayes estimate, Bayesian prediction, double censoring, inverted exponentiated exponential distribution, maximum likelihood estimate

References

• [1] A.M. Abouammoh and A.M. Alshingiti,Reliability estimation of generalized inverted exponential distribution, J. Stat. Comput. Simul. 79 (11), 1301-1315, 2009.