Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models
| dc.contributor.author | Saraçoğlu, Buğra | |
| dc.contributor.author | Kaya, Mehmet Fedai | |
| dc.date.accessioned | 2020-03-26T17:16:50Z | |
| dc.date.available | 2020-03-26T17:16:50Z | |
| dc.date.issued | 2007 | |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | A stress-strength model defines life of a component which has strength X and is subjected to stress Y. In this paper, we consider the estimation problem of RP(Y<X) when X Gompertz(c,lambda_1) and Y Gompertz(c,lambda_2) are independent with c known. R can be considered to be the reliability of a system and is known to be stress-strength reliability. The maximum likelihood estimate of R is derived and various distributional properties of this estimator is discussed. Exact and asymptotic confidence intervals for R are constructed. Also a simulation study is performed to investigate the coverage probabilities of these intervals. | en_US |
| dc.identifier.endpage | 36 | en_US |
| dc.identifier.issn | 1302-7980 | en_US |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.startpage | 25 | en_US |
| dc.identifier.uri | http://www.trdizin.gov.tr/publication/paper/detail/TnpReE1UZzQ= | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/21107 | |
| dc.identifier.volume | 8 | en_US |
| dc.indekslendigikaynak | TR-Dizin | en_US |
| dc.language.iso | en | en_US |
| dc.relation.ispartof | Türkiye Klinikleri Psikiyatri Dergisi | en_US |
| dc.relation.publicationcategory | Makale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.subject | Matematik | en_US |
| dc.title | Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models | en_US |
| dc.type | Article | en_US |
