竞争失效场合广义混合截尾寿命试验的似然分析

毛松, 师义民

doi:10.13371/j.cnki.chin.q.j.m.2016.02.009

数学季刊 >

2016 , Vol. 31 >Issue 2: 178 - 188

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2016.02.009

竞争失效场合广义混合截尾寿命试验的似然分析

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School of Economics and Management,Shanxi University. Department of Applied Mathematics,Northwestern Polytechnical University

MAO Song(1987-), female, native of Linfen, Shanxi, a lecturer of Shanxi University, Ph.D., engages in applied probability and statistics; SHI Yi-min(1952-), male, native of Xi'an, Shaanxi, a professor of Northwestern Polytechnical University, M.S.D., engages in applied probability and statistics, reliability theory and application.

收稿日期: 2015-07-07

网络出版日期: 2020-11-06

基金资助

Supported by the National Natural Science Foundation of China(71401134,71571144,71171164)； Supported by the Natural Science Basic Research Program of Shaanxi Province(2015JM1003)； Supported by the Program of International Cooperation and Exchanges in Science and Technology Funded of Shaanxi Province(2016KW-033)； Supported by the Scholarship Program of Shanxi Province(2016-015)；

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Likelihood Inference under Generalized Hybrid Censoring Scheme with Competing Risks

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School of Economics and Management,Shanxi University. Department of Applied Mathematics,Northwestern Polytechnical University

Received date: 2015-07-07

Online published: 2020-11-06

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摘要

Statistical inference is developed for the analysis of generalized type-Ⅱ hybrid censoring data under exponential competing risks model. In order to solve the problem that approximate methods make unsatisfactory performances in the case of small sample size,we establish the exact conditional distributions of estimators for parameters by conditional moment generating function（CMGF）. Furthermore, confidence intervals（CIs） are constructed by exact distributions, approximate distributions as well as bootstrap method respectively,and their performances are evaluated by Monte Carlo simulations. And finally, a real data set is analyzed to illustrate all the methods developed here.

关键词： generalized type-II hybrid scheme; competing risks; conditional moment generating function; bootstrap method; confidence intervals

本文引用格式

毛松, 师义民 . 竞争失效场合广义混合截尾寿命试验的似然分析[J]. 数学季刊, 2016 , 31(2) : 178 -188 . DOI: 10.13371/j.cnki.chin.q.j.m.2016.02.009

Abstract

Key words： generalized type-II hybrid scheme; competing risks; conditional moment generating function; bootstrap method; confidence intervals

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