Estimation of parameters of component lifetime distribution in a coherent system

被引：0
作者：
M. G. Kulkarni
M. B. Rajarshi
机构：
[1] Savitribai Phule Pune University,Department of Statistics
来源：
Statistical Papers | 2020年 / 61卷
关键词：
Coherent system; Conditionality principle; Estimation; Exponential distribution; Optimal estimating function; Weibull distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We deal with estimation of parameters of lifetime distribution of components which form a coherent system. It is assumed that the system lifetime and the number of failed components up to the moment of the system failure, including the component which fails at the system failure epoch, are observed for each system.We apply the theory of optimal estimating functions and obtain optimal estimators of the parameters assuming that component lifetime has exponential and Weibull distribution. We apply Fisher’s conditionality principle and obtain properties of estimators of the system based on the conditional distribution of the system life-time, given the number of failed components in the system. Exact conditional distributions of the estimators as well as conditional consistency and asymptotic normality have been discussed for both the models. We also compare the proposed estimators with some of the existing estimators.
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页码：403 / 421
页数：18
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