文章基本信息

标题：Reliability estimation of k-unit series system based on progressiverly censored data
其他标题：Reliability estimation of k-unit series system based on progressiverly censored data
作者：Potdar, Kiran Ganpati ; Shirke, D. T.
期刊名称：Electronic Journal of Applied Statistical Analysis
电子版ISSN：2070-5948
出版年度：2014
卷号：7
期号：2
页码：228-253
DOI：10.1285/i20705948v7n2p228
语种：English
出版社：University of Salento
摘要：In this article, we consider a k-unit series system with component lifetime distribution to be a member of the scale family of distributions. We discuss estimation of the scale parameter and estimation of reliability function of the family based on progressively Type-II censored sample. The maximum likelihood estimator (MLE) of the scale parameter is derived using Expectation-Maximization (EM) algorithm and is used to estimate reliability function. Confidence intervals are constructed using asymptotic distribution of MLE. β-expectation tolerance interval for lifetime of the system is obtained. We consider half-logistic distribution as a member of the scale family and study performance of the MLE, reliability estimate and confidence interval using simulation experiments.
关键词：Progressively Type-II censoring; EM algorithm; MLE; confidence interval; coverage probability; reliability; β-expectation tolerance interval; half-logistic distribution.