dc.contributor.author | Gürünlü Alma, Özlem | |
dc.contributor.author | Arabi Belaghi, Reza | |
dc.date.accessioned | 2020-11-20T17:17:15Z | |
dc.date.available | 2020-11-20T17:17:15Z | |
dc.date.issued | 2020 | |
dc.identifier.issn | 2194-6701 | |
dc.identifier.uri | https://doi.org/10.1007/s40304-019-00181-8 | |
dc.identifier.uri | https://hdl.handle.net/20.500.12809/6343 | |
dc.description.abstract | Complementary exponential geometric distribution has many applications in survival and reliability analysis. Due to its importance, in this study, we are aiming to estimate the parameters of this model based on progressive type-II censored observations. To do this, we applied the stochastic expectation maximization method and Newton–Raphson techniques for obtaining the maximum likelihood estimates. We also considered the estimation based on Bayesian method using several approximate: MCMC samples, Lindely approximation and Metropolis–Hasting algorithm. In addition, we considered the shrinkage estimators based on Bayesian and maximum likelihood estimators. Then, the HPD intervals for the parameters are constructed based on the posterior samples from the Metropolis–Hasting algorithm. In the sequel, we obtained the performance of different estimators in terms of biases, estimated risks and Pitman closeness via Monte Carlo simulation study. This paper will be ended up with a real data set example for illustration of our purpose. © 2019, School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature. | en_US |
dc.description.sponsorship | 1059B211600192 Türkiye Bilimsel ve Teknolojik AraÅŸtirma Kurumu | en_US |
dc.description.sponsorship | This study was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) and registered in 1059B211600192. | en_US |
dc.item-language.iso | eng | en_US |
dc.publisher | Springer Science and Business Media Deutschland GmbH | en_US |
dc.item-rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Bayesian analysis | en_US |
dc.subject | Complementary exponential geometric (CEG) distribution | en_US |
dc.subject | Maximum likelihood estimators | en_US |
dc.subject | Progressive type-II censoring | en_US |
dc.subject | SEM algorithm | en_US |
dc.subject | Shrinkage estimator | en_US |
dc.title | Estimation in the Complementary Exponential Geometric Distribution Based on Progressive Type-II Censored Data | en_US |
dc.item-type | article | en_US |
dc.contributor.department | MÜ, Fen Fakültesi, İstatistik Bölümü | en_US |
dc.contributor.institutionauthor | Gürünlü Alma, Özlem | |
dc.contributor.institutionauthor | Arabi Belaghi, Reza | |
dc.identifier.doi | 10.1007/s40304-019-00181-8 | |
dc.identifier.volume | 8 | en_US |
dc.identifier.issue | 4 | en_US |
dc.identifier.startpage | 409 | en_US |
dc.identifier.endpage | 441 | en_US |
dc.relation.journal | Communications in Mathematics and Statistics | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |