dc.contributor.author | Arabi Belaghi, R. | |
dc.contributor.author | Noori Asl, M. | |
dc.contributor.author | Gurunlu Alma, O. | |
dc.contributor.author | Singh, S. | |
dc.contributor.author | Vasfi, M. | |
dc.date.accessioned | 2020-11-20T17:17:13Z | |
dc.date.available | 2020-11-20T17:17:13Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0196-6324 | |
dc.identifier.uri | https://doi.org/10.1080/01966324.2018.1484827 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12809/6324 | |
dc.description.abstract | SYNOPTIC ABSTRACT: This article addresses the problems of estimation and prediction when the lifetime data following Poisson-Exponential distribution are observed under type-II censoring. We obtain maximum likelihood estimates and associated interval estimates under a classical approach, and Bayes estimates using various loss functions and associated highest posterior density interval estimates. Maximum likelihood estimates are obtained using the Newton-Raphson method and Expectation Maximization (EM) algorithm, and Bayes estimates are computed using importance sampling and Lindley approximation. We also compute shrinkage preliminary test estimates based on maximum likelihood and Bayes estimates. Further, we provide inference on the censored observations by making use of best unbiased and condition median predictors under a classical approach, and predictive estimates under the Bayesian paradigm using importance sampling. The associated predictive interval estimates are also obtained using different methods. Finally, we conduct a simulation study to compare the performance of all the proposed methods of estimation and prediction, and analyze a real data set for illustration purpose. © 2018, © 2018 Taylor & Francis Group, LLC. | en_US |
dc.item-language.iso | eng | en_US |
dc.publisher | Taylor and Francis Ltd. | en_US |
dc.item-rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Bayesian estimation | en_US |
dc.subject | EM algorithm | en_US |
dc.subject | Lindley approximation | en_US |
dc.subject | Poisson-exponential distribution | en_US |
dc.subject | prediction | en_US |
dc.subject | shrinkage estimation | en_US |
dc.subject | Type-II censoring | en_US |
dc.title | Estimation and Prediction for the Poisson-Exponential Distribution Based on Type-II Censored Data | en_US |
dc.item-type | article | en_US |
dc.contributor.department | MÜ | en_US |
dc.contributor.departmentTemp | Arabi Belaghi, R., Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran; Noori Asl, M., Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran; Gurunlu Alma, O., Department of Statistics, Faculty of Sciences, Mugla Sitki Kocman University, Mugla, Turkey; Singh, S., Department of Mathematics, Indian Institute of Technology Patna, Patna, Bihar, India; Vasfi, M., Department of Statistics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran | en_US |
dc.identifier.doi | 10.1080/01966324.2018.1484827 | |
dc.identifier.volume | 38 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.startpage | 96 | en_US |
dc.identifier.endpage | 115 | en_US |
dc.relation.journal | American Journal of Mathematical and Management Sciences | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |