Maximum likelihood estimation and confidence intervals of system reliability for Gompertz distribution in stress-strength models
Küçük Resim Yok
Tarih
2007
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info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Matematik
Kaynak
Türkiye Klinikleri Psikiyatri Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
8
Sayı
2
