The Reliability Inference for Multicomponent Stress–Strength Model under the Burr X Distribution
學年 112
學期 2
出版（發表）日期 2024-03-17
作品名稱 The Reliability Inference for Multicomponent Stress–Strength Model under the Burr X Distribution
作品名稱（其他語言）
著者 Tsai, Tzong-ru
單位
出版者
著錄名稱、卷期、頁數 AppliedMath 4(1),　p.394-426
摘要 The reliability of the multicomponent stress–strength system was investigated under the two-parameter Burr X distribution model. Based on the structure of the system, the type II censored sample of strength and random sample of stress were obtained for the study. The maximum likelihood estimators were established by utilizing the type II censored Burr X distributed strength and complete random stress data sets collected from the multicomponent system. Two related approximate confidence intervals were achieved by utilizing the delta method under the asymptotic normal distribution theory and parametric bootstrap procedure. Meanwhile, point and confidence interval estimators based on alternative generalized pivotal quantities were derived. Furthermore, a likelihood ratio test to infer the equality of both scalar parameters is provided. Finally, a practical example is provided for illustration.
關鍵字 multicomponent stress–strength model;Burr X distribution;maximum likelihood estimation;generalized pivotal estimation;asymptotic theory
語言 en_US
ISSN 2673-9909
期刊性質 國外
收錄於 ESCI Scopus
產學合作
通訊作者
審稿制度 是
國別 CHE
公開徵稿
出版型式 ,電子版
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