Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Estimation of P r(X < Y) for exponential power records
Hacettepe Journal of Mathematics and Statistics · Ocak 2023
YÖKSİS Kayıtları
Estimation of Pr(X < Y) for exponential power records
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS · 2023 SCI-Expanded
PROFESÖR BUĞRA SARAÇOĞLU →
Makale Bilgileri
DergiHacettepe Journal of Mathematics and Statistics
Yayın TarihiOcak 2023
Cilt / Sayfa52 · 499-511
Scopus ID2-s2.0-85152938178
Erişim🔓 Açık Erişim
Özet
In this study, we tackle the problem of estimation of stress-strength reliability R = P r(X < Y) based on upper record values for exponential power distribution. We use the maximum likelihood and Bayes methods to estimate R. The Tierney-Kadane ap-proximation is used to compute the Bayes estimation of R since the Bayes estimator can not be obtained analytically. We also derive asymptotic confidence interval based on the asymptotic distribution of the maximum likelihood estimator of R. We consider a Monte Carlo simulation study in order to compare the performances of the maximum likelihood estimators and Bayes estimators according to mean square error criteria. Finally, a real data application is presented.
Yazarlar (4)
1
Caner Tanış
2
Buğra Saraçoğlu
3
Akbar Asgharzadeh
4
Meraj Abdi
Anahtar Kelimeler
asymptotic confidence interval
Bayesian estimation
maximum likelihood estimator
Tierney-Kadane approximation
Upper record values
Kurumlar
Çankiri Karatekin Üniversitesi
Cankiri Turkey
Higher Education Complex of Bam
Bam Iran
Selçuk Üniversitesi
Selçuklu Turkey
University of Mazandaran
Babolsar Iran
Metrikler
1
Atıf
4
Yazar
5
Anahtar Kelime