A dynamic system for Gompertz model
學年 106
學期 1
出版(發表)日期 2017-11-21
作品名稱 A dynamic system for Gompertz model
著者 YL Lio; Tzong-Ru Tsai; Nan Jiang; N. Balakrishnan
著錄名稱、卷期、頁數 Journal of Statistical Computation and Simulation 88(4), p.752-768
摘要 Two-parameter Gompertz distribution has been introduced as a lifetime model for reliability inference recently. In this paper, the Gompertz distribution is proposed for the baseline lifetimes of components in a composite system. In this composite system, failure of a component induces increased load on the surviving components and thus increases component hazard rate via a power-trend process. Point estimates of the composite system parameters are obtained by the method of maximum likelihood. Interval estimates of the baseline survival function are obtained by using the maximum-likelihood estimator via a bootstrap percentile method. Two parametric bootstrap procedures are proposed to test whether the hazard rate function changes with the number of failed components. Intensive simulations are carried out to evaluate the performance of the proposed estimation procedure.
關鍵字 Computational approach test;generalized likelihood ratio;log-likelihood function;parametric bootstrap likelihood ratio test;sequential order statistics
語言 en
期刊性質 國內
收錄於 SCI Scopus NotTSSCI
通訊作者 Tzong-Ru Tsai
國別 USA
出版型式 ,電子版

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114965 )

SDGS 優質教育,產業創新與基礎設施