INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT)
To solve the problems of complex calculation and weak applicability of the traditional interval estimation methods such as Weibull distribution with the different parameters, a simple interval estimation method suitable to the conditions of multi-parameters was proposed. Through the expression of We...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2023-01-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.03.018 |
| _version_ | 1826870553108021248 |
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| author | XUE GuangMing NING Peng FU YaoYu HE HongRui ZHOU Jun |
| author_facet | XUE GuangMing NING Peng FU YaoYu HE HongRui ZHOU Jun |
| author_sort | XUE GuangMing |
| collection | DOAJ |
| description | To solve the problems of complex calculation and weak applicability of the traditional interval estimation methods such as Weibull distribution with the different parameters, a simple interval estimation method suitable to the conditions of multi-parameters was proposed. Through the expression of Weibull distribution, the pivotal-variable obeying chi-square distribution was obtained and the degrees of freedom were modified. Combined with the point estimation results from maximum likelihood estimation and the empirical estimation shape parameter in the Weibull distribution, the interval estimation method of two parameters in Weibull distribution was established. The confidence of proposed interval estimation method was verified by Monte Carlo simulation, and the applicability of the method on different parameters was also analyzed. Furthermore, comparisons with the results computed from traditional least square and maximum likelihood estimation methods were carried out by using simulation. Simulation results indicated that the modified pivotal-variable method has simple calculation process and small deviation from predefined nominal confidence with the different parameters. Therefore, it can be concluded that proposed method executes the more effective estimation than the traditional methods. |
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| format | Article |
| id | doaj.art-ddd4e83eba454c3ab84d8668bd4246f9 |
| institution | Directory Open Access Journal |
| issn | 1001-9669 |
| language | zho |
| last_indexed | 2025-02-16T23:25:31Z |
| publishDate | 2023-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj.art-ddd4e83eba454c3ab84d8668bd4246f92025-01-15T02:40:47ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692023-01-0163363940374183INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT)XUE GuangMingNING PengFU YaoYuHE HongRuiZHOU JunTo solve the problems of complex calculation and weak applicability of the traditional interval estimation methods such as Weibull distribution with the different parameters, a simple interval estimation method suitable to the conditions of multi-parameters was proposed. Through the expression of Weibull distribution, the pivotal-variable obeying chi-square distribution was obtained and the degrees of freedom were modified. Combined with the point estimation results from maximum likelihood estimation and the empirical estimation shape parameter in the Weibull distribution, the interval estimation method of two parameters in Weibull distribution was established. The confidence of proposed interval estimation method was verified by Monte Carlo simulation, and the applicability of the method on different parameters was also analyzed. Furthermore, comparisons with the results computed from traditional least square and maximum likelihood estimation methods were carried out by using simulation. Simulation results indicated that the modified pivotal-variable method has simple calculation process and small deviation from predefined nominal confidence with the different parameters. Therefore, it can be concluded that proposed method executes the more effective estimation than the traditional methods.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.03.018Weibull distributionInterval estimationConfidenceMonte Carlo simulationModified pivotal-variable |
| spellingShingle | XUE GuangMing NING Peng FU YaoYu HE HongRui ZHOU Jun INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT) Jixie qiangdu Weibull distribution Interval estimation Confidence Monte Carlo simulation Modified pivotal-variable |
| title | INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT) |
| title_full | INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT) |
| title_fullStr | INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT) |
| title_full_unstemmed | INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT) |
| title_short | INTERVAL ESTIMATION OF WEIBULL DISTRIBUTION BASED ON MODIFIED PIVOTAL VARIABLE METHOD (MT) |
| title_sort | interval estimation of weibull distribution based on modified pivotal variable method mt |
| topic | Weibull distribution Interval estimation Confidence Monte Carlo simulation Modified pivotal-variable |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2023.03.018 |
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