Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)

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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Main Authors: XUXiaoling(徐晓岭), WANGRonghua(王蓉华), GUBeiqing(顾蓓青)
Format: Article
Language:zho
Published: Zhejiang University Press 2016-09-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2016.05.008
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author XUXiaoling(徐晓岭)
WANGRonghua(王蓉华)
GUBeiqing(顾蓓青)
author_facet XUXiaoling(徐晓岭)
WANGRonghua(王蓉华)
GUBeiqing(顾蓓青)
author_sort XUXiaoling(徐晓岭)
collection DOAJ
description 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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spelling doaj.art-0eb9af38839348188351a22e3faf2cc22024-03-29T01:58:36ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972016-09-0143553954410.3785/j.issn.1008-9497.2016.05.008Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)XUXiaoling(徐晓岭)0https://orcid.org/0000-0002-9442-8555WANGRonghua(王蓉华)1GUBeiqing(顾蓓青)2https://orcid.org/0000-0003-1539-8747 1.School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China( 1.上海对外经贸大学统计与信息学院,上海 201620) 2.Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China( 2.上海师范大学数理学院,上海 200234) 1.School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China( 1.上海对外经贸大学统计与信息学院,上海 201620)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.https://doi.org/10.3785/j.issn.1008-9497.2016.05.008两参数birnbaum-saunders疲劳寿命分布尺度参数区间估计广义枢轴量
spellingShingle XUXiaoling(徐晓岭)
WANGRonghua(王蓉华)
GUBeiqing(顾蓓青)
Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)
Zhejiang Daxue xuebao. Lixue ban
两参数birnbaum-saunders疲劳寿命分布
尺度参数
区间估计
广义枢轴量
title Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)
title_full Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)
title_fullStr Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)
title_full_unstemmed Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)
title_short Two notes of statistical analysis about two-parameter Birnbaum-Saunders fatigue life distribution(关于两参数Birnbaum-Saunders疲劳寿命分布统计分析的2个注记)
title_sort two notes of statistical analysis about two parameter birnbaum saunders fatigue life distribution 关于两参数birnbaum saunders疲劳寿命分布统计分析的2个注记
topic 两参数birnbaum-saunders疲劳寿命分布
尺度参数
区间估计
广义枢轴量
url https://doi.org/10.3785/j.issn.1008-9497.2016.05.008
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