Statistical inference of the stress-strength reliability and mean remaining strength of series system with cold standby redundancy at system and component levels
Hacettepe Journal Of Mathematics And Statistics, cilt.50, sa.6, ss.1793-1821, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 6
- Basım Tarihi: 2021
- Doi Numarası: 10.15672/hujms.804070
- Dergi Adı: Hacettepe Journal Of Mathematics And Statistics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.1793-1821
- Marmara Üniversitesi Adresli: Hayır
Özet
In this study, we consider the stress-strength reliability and mean
remaining strength of a series system with cold standby redundancy at
the component and system levels. Classical and Bayesian approaches are
studied in order to obtain the estimates when the underlying stress,
strength and standby components follow the exponential distribution with
different parameters. Bayes estimates are approximated by using
Lindley’s approximation and Markov Chain Monte Carlo methods. Asymptotic
confidence intervals and highest probability density credible intervals
are constructed. We perform Monte Carlo simulations to compare the
performance of proposed estimates. A real data set is analyzed for the
purpose of illustration.