Estimation of stress-strength reliability for weibull distribution based on type-II right censored ranked set sampling data
Yükleniyor...
Dosyalar
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Punjab
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we consider the estimation of stress-strength reliability R = P (X < Y) under the type-II right censored data when the distributions of both the stress and the strength are Weibull. First, we discuss the estimation of R based on simple random sampling (SRS). Then, we use the effective and the efficient alternative of SRS which is known to be the ranked set sampling (RSS) to estimate R. In the estimation procedure of R, we use two different approaches they are i) maximum likelihood (ML) which requires an iterative method and ii) modified maximum likelihood (MML) which has an explicit form. Monte-Carlo simulation study is performed to identify the efficient sampling method (i.e., SRS or RSS) and the efficient estimation method (i.e., ML or MML). Finally, strength and wind speed data sets are analyzed to illustrate the proposed methods in practice.
Açıklama
Anahtar Kelimeler
Stress-strength model, Ranked set sampling, Type-II right censoring, Modified maximum likelihood, Weibull distribution, Monte-Carlo simulation
Kaynak
Pakistan Journal of Statistics and Operation Research
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
14
Sayı
4
Künye
Akgül, F. G., & Şenoğlu, B. (2018). Estimation of Stress-Strength Reliability For Weibull Distribution Based on Type-II Right Censored Ranked Set Sampling Data. Pakistan Journal of Statistics and Operation Research, 14(4), 781-806.
