Inference and optimum life testing plans based on Type-II progressive hybrid censored generalized exponential data. Issue 12 (1st December 2020)

• Record Type: Journal Article
• Authors: Sen, Tanmay; Bhattacharya, Ritwik; Tripathi, Yogesh Mani; Pradhan, Biswabrata
• Is Part Of: Communications in statistics. Volume 49:Issue 12(2020)
• Page Start: 3254
• Page End: 3282
• Publication Date: 2020-12-01
• Subjects: Bayesian prediction -- Entropy -- Generalized exponential distribution -- Maximum likelihood estimate -- MH algorithm; Mathematical statistics -- Periodicals; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5
• DOI: 10.1080/03610918.2018.1538456
• Languages: English
• ISSNs: 0361-0918

Abstract

Abstract: This article considers inference based on Type-II progressive hybrid censored data for a generalized exponential distribution. The maximum likelihood (ML) estimates, Bayes estimates and corresponding interval estimates of unknown model parameters are derived. Prediction estimates and prediction intervals of censored observations are obtained under one- and two-sample Bayesian framework. A Monte Carlo simulation study is undertaken to compare the proposed methods of estimation. A real data set is analyzed for illustration purpose. Finally, optimal life testing plans are obtained under cost constraints using two different optimality criteria. A computational algorithm is proposed to compute the optimal plans.