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)
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....
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2017-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2017.06.008 |
| _version_ | 1797235818396385280 |
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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. |
| first_indexed | 2024-04-24T16:54:00Z |
| format | Article |
| id | doaj.art-7f30d29ba989476c92e045cafb7be7ad |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:54:00Z |
| publishDate | 2017-11-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-7f30d29ba989476c92e045cafb7be7ad2024-03-29T01:58:37ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972017-11-0144669270410.3785/j.issn.1008-9497.2017.06.008Statistical 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)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.https://doi.org/10.3785/j.issn.1008-9497.2017.06.008两参数birnbaum-saunders疲劳寿命分布形状参数刻度参数点估计近似区间估计 |
| spellingShingle | XUXiaoling(徐晓岭) WANGRonghua(王蓉华) GUBeiqing(顾蓓青) 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) Zhejiang Daxue xuebao. Lixue ban 两参数birnbaum-saunders疲劳寿命分布 形状参数 刻度参数 点估计 近似区间估计 |
| title | 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) |
| title_full | 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) |
| title_fullStr | 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) |
| title_full_unstemmed | 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) |
| title_short | 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) |
| title_sort | 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 |
| topic | 两参数birnbaum-saunders疲劳寿命分布 形状参数 刻度参数 点估计 近似区间估计 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2017.06.008 |
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