Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
Hacettepe Journal of Mathematics and Statistics · Ekim 2023
YÖKSİS Kayıtları
Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS · 2023 SCI-Expanded
PROFESÖR BUĞRA SARAÇOĞLU →
Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
Hacettepe University · 2023 SCI-Expanded
DOÇENT YUNUS AKDOĞAN →
Estimation of stress-strength reliability for generalized Gompertz distribution under progressive type-II censoring
Hacettepe Journal of Mathematics and Statistics · 2023 SCI-Expanded
DOKTOR ÖĞRETİM ÜYESİ NERİMAN AKDAM →
Makale Bilgileri
DergiHacettepe Journal of Mathematics and Statistics
Yayın TarihiEkim 2023
Cilt / Sayfa52 · 1379-1395
Scopus ID2-s2.0-85172170538
Erişim🔓 Açık Erişim
Özet
In this study, the stress-strength reliability, R = P (Y < X) where Y represents the stress of a component and X represents this component’s strength, is obtained when X and Y have two independents generalized Gompertz distribution with different shape parameters under progressive type-II censoring. The Bayes and maximum likelihood estimators of stress-strength reliability can not be acquired in closed forms. The approximate Bayes estimators under squared error loss function by using Lindley’s approximations for stressstrength reliability are derived. A Monte Carlo simulation study is done to check performances of the approximate Bayes against performances of maximum likelihood estimators and observe the coverage probabilities and the intervals’ average width. In addition, the coverage probabilities of the parametric bootstrap estimates are calculated. Two applications based on real datasets are provided.
Yazarlar (4)
1
Fatma Çiftci
2
Buğra Saraçoğlu
3
Neriman Akdam
4
Yunus Akdoğan
Anahtar Kelimeler
Bayes estimator
bootstrap estimation
Lindley’s approximation
maximum likelihood estimation
Monte Carlo simulation
progressive type-II censoring
stress-strength reliability
Kurumlar
PTT Chief Directorate
Konya Turkey
Selçuk Tip Fakültesi
Konya Turkey
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
1
Atıf
4
Yazar
7
Anahtar Kelime