Statistical analysis of two-parameter Birnbaum-Saunders fatigue life distribution under full sample(全样本场合下两参数Birnbaum-Saunders疲劳寿命分布的统计分析)

XUXiaoling(徐晓岭); WANGRonghua(王蓉华); GUBeiqing(顾蓓青)

doi:10.3785/j.issn.1008-9497.2017.06.008

Zhejiang Daxue xuebao. Lixue ban (Nov 2017)

Statistical analysis of two-parameter Birnbaum-Saunders fatigue life distribution under full sample(全样本场合下两参数Birnbaum-Saunders疲劳寿命分布的统计分析)

XUXiaoling(徐晓岭),
WANGRonghua(王蓉华),
GUBeiqing(顾蓓青)

Affiliations

XUXiaoling(徐晓岭): ORCiD; 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)
WANGRonghua(王蓉华): 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)
GUBeiqing(顾蓓青): ORCiD; 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)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2017.06.008
Journal volume & issue: Vol. 44, no. 6
pp. 692 – 704

Abstract

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通过对数变换给出了求两参数Birnbaum-Saunders(BS)疲劳寿命分布BS（α，β）在全样本场合下参数的对数矩估计，并通过大量Monte-Carlo模拟比较了各种点估计方法的精度.基于对数变换通过一阶泰勒展开，将两参数BS疲劳寿命分布BS（α，β）近似看作两参数对数正态分布，由此得到了2个参数α，β的近似区间估计，通过Monte-Carlo模拟发现，所给出的近似方法比原有方法更精确.最后通过若干实例说明了方法的可行性.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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