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指数分布场合恒加试验缺失数据的Bayes统计分析
引用本文:顾龙全,周晓东,汤银才.指数分布场合恒加试验缺失数据的Bayes统计分析[J].高校应用数学学报(A辑),2006,21(2):183-190.
作者姓名:顾龙全  周晓东  汤银才
作者单位:1. 上海师范大学,数理信息学院,上海,200234
2. 上海对外贸易学院,国际经贸学院,上海,201620
3. 华东师范大学,统计系,上海,200062
基金项目:国家自然科学基金(10271079)
摘    要:主要讨论了当寿命分布是指数分布时恒定应力加速寿命试验中常见几类数据类型(完全样本,分组样本,删失样本)的Bayes统计分析方法.运用G ibbs抽样迭代算法成功解决了Bayes分析中极为复杂的后验边际分布的计算问题,得到了满足顺序约束的参数的Bayes估计.模拟结果表明各场合下此方法均较好.

关 键 词:指数分布  恒加试验  Bayes推断  完全样本  删失样本  分组样本
文章编号:1000-4424(2006)02-0183-08
收稿时间:2004-06-29
修稿时间:2004年6月29日

Bayesian analysis to an accelerated life test with censored exponential data
GU Long-quan,ZHOU Xiao-dong,TANG Yin-cai.Bayesian analysis to an accelerated life test with censored exponential data[J].Applied Mathematics A Journal of Chinese Universities,2006,21(2):183-190.
Authors:GU Long-quan  ZHOU Xiao-dong  TANG Yin-cai
Institution:1. Math. Sci. College,Shanghai Normal Univ. ,Shanghai 200234 ,China 2. International Business School, Shanghai Institute of Foreign Trade, Shanghai 201620, China 3. Dept. of Statistics, East China Normal Univ., Shanghai 200062, China
Abstract:This paper discusses the Bayesian statistical analysis for the complete,grouped and censored life data from exponential distribution constant-stress accelerated life tests,and successfully solves the computation of the complicated post-marginal distributions involved in the Bayesian analysis using Gibbs sampling iteration algorithm.An example is given to show that the proposed methods are efficient under three situations.
Keywords:exponential distribution  constant-stress accelerated life test  Bayesian inference  complete sample  censored sample  grouped sample
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