A statistical inference for generalized Rayleigh model under Type-Ⅱ progressive censoring with binomial removals

REN Junru; GUI Wenhao

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A statistical inference for generalized Rayleigh model under Type-Ⅱ progressive censoring with binomial removals

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摘要

This paper considers the parameters and reliability characteristics estimation problem of the generalized Rayleigh distribution under progressively Type-Ⅱ censoring with random removals,that is,the number of units removed at each failure time follows the binomial distribution.The maximum likelihood estimation and the Bayesian estimation are derived.In the meanwhile,through a great quantity of Monte Carlo simulation experiments we have studied different hyperparameters as well as symmetric and asymmetric loss functions in the Bayesian estimation procedure.A real industrial case is presented to justify and illustrate the proposed methods.We also investigate the expected experimentation time and discuss the influence of the parameters on the termination point to complete the censoring test.

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《系统工程与电子技术：英文版》 |2020年第1期|206-223|共18页
作者
REN Junru; GUI Wenhao;
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作者单位

Department of Mathematics;

Beijing Jiaotong University;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
Type-Ⅱprogressive censoring with random removals; generalized Rayleigh distribution; reliability characteristic; maximum likelihood estimation; Markov chain Monte Carlo method; expected experimentation time;

A statistical inference for generalized Rayleigh model under Type-Ⅱ progressive censoring with binomial removals

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