出版日期：2022-07-16 00:00:00

著者：Yuhlong Lio; Tzong-Ru Tsai; Liang Wang; Ignacio Pascual Cecilio Tejada

著錄名稱、卷期、頁數：Mathematics 10(14), 2478

摘要：Multicomponent stress–strength reliability (MSR) is explored for the system with Burr XII distributed components under Type-II censoring. When the distributions of strength and stress variables have Burr XII distributions with common or unequal inner shape parameters, the existence and uniqueness of the maximum likelihood estimators are investigated and established. The associated approximate confidence intervals are obtained by using the asymptotic normal distribution theory along with the delta method and parametric bootstrap procedure, respectively. Moreover, alternative generalized pivotal quantities-based point and confidence interval estimators are developed. Additionally, a likelihood ratio test is presented to diagnose the equivalence of both inner shape parameters or not. Conclusively, Monte Carlo simulations and real data analysis are conducted for illustration.

關鍵字：multicomponent stress–strength model;Burr XII distribution;maximum likelihood estimation;generalized pivotal estimation;asymptotic theory

語言：en

ISSN：2227-7390

期刊性質：國外

收錄於：SCI Scopus

審稿制度：是

國別：CHE

出版型式：電子版