关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记

doi:10.3785/j.issn.1008-9497.2016.05.008

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摘要通过Monte-Carlo模拟说明目前用于求解两参数Birnbaum-Saunders疲劳寿命分布尺度参数的2种方法可能无法得到尺度参数的区间估计.进一步指出，在利用广义枢轴量法给出尺度参数以及参数函数的置信区间过程中存在错误，并用反例进行了说明，同时给出了正确的证明.

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	徐晓岭
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关键词 ：两参数Birnbaum-Saunders疲劳寿命分布, 尺度参数, 区间估计, 广义枢轴量

Abstract：We know that two methods about interval estimate of scale parameter for two-parameter Birnbaum-Saunders fatigue life distribution are shown not always capable of obtaining the interval estimate of scale parameter based on the results of Monte Carlo simulations. Moreover, there is a mistake in deriving the confidence intervals of scale parameter and parameter function with the generalized pivot method. A corresponding counter example is illustrated, and the correct proof is provided.

Key words： two-parameter Birnbaum-Saunders fatigue life distribution scale parameter interval estimate generalized pivotal quantity

收稿日期: 2015-12-04

ZTFLH:

O213

基金资助:国家自然科学基金资助项目（11671264）.

通讯作者: 顾蓓青,ORCID:http//orcid.org/0000-0003-1539-8747,E-mail:gubeiqing@suibe.edu.cn. E-mail: gubeiqing@suibe.edu.cn

作者简介: 徐晓岭(1965-),ORCID:http://orcid.org/0000-0002-9442-8555,男,博士,教授,主要从事应用统计研究,E-mail:xlxu@suibe.edu.cn.

引用本文:

徐晓岭, 王蓉华, 顾蓓青. 关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记[J]. 浙江大学学报（理学版）, 2016, 43(5): 539-544.
XU Xiaoling, WANG Ronghua, GU Beiqing. Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution. Journal of ZheJIang University(Science Edition), 2016, 43(5): 539-544.

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http://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.05.008 或 http://www.zjujournals.com/sci/CN/Y2016/V43/I5/539

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