Statistical Inference of Chen Distribution Based on Type I Progressive Hybrid Censored Samples

Statistics, Optimization and Information Computing

article

Manoj Kumar Rastogi¹  Tanmay Kayal²  Yogesh Mani Tripathi²  Debasis Kundu³ 

[1] Patna University;Indian Institute of Technology Patna;Indian Institute of Technology Kanpur

关键词: EM algorithm;    Tierney and Kadane method;    Metropolis-Hastings algorithm;    Optimal plan;   

DOI  :  10.19139/soic-2310-5070-486

来源: Istituto Superiore di Sanita

【 摘 要 】

In this paper we study the problem of estimating unknown parameters of a two-parameter distribution with bathtub shape under the assumption that data are type I progressive hybrid censored. We derive maximum likelihood estimators and then obtain the observed Fisher information matrix. Bayes estimators are also obtained under the squared error loss function and highest posterior density intervals are constructed as well. We perform a simulation study to compare proposed methods and analyzed a real data set for illustration purposes. Finally we establish optimal plans with respect to cost constraints and obtain comments based on a numerical study.

【 授权许可】

Unknown