Minimum Area Confidence Region for Weibull Distribution Based on Records
Record values are commonly seen in real life applications, and many important studies on record values relate to Weibull distributions. Based on record values, we establish the minimum area confidence region for the two-parameter Weibull distribution, which is shown to be superior to the classical...
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Format: | Article |
Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2021-03-01
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Series: | Revstat Statistical Journal |
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Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/334 |
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author | Junmei Zhou Fen Jiang Jin Zhang |
author_facet | Junmei Zhou Fen Jiang Jin Zhang |
author_sort | Junmei Zhou |
collection | DOAJ |
description |
Record values are commonly seen in real life applications, and many important studies on record values relate to Weibull distributions. Based on record values, we establish the minimum area confidence region for the two-parameter Weibull distribution, which is shown to be superior to the classical confidence regions for having smaller expected area.
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first_indexed | 2024-12-10T23:58:12Z |
format | Article |
id | doaj.art-41ff98c1b86e4cf090b8526a039e6ced |
institution | Directory Open Access Journal |
issn | 1645-6726 2183-0371 |
language | English |
last_indexed | 2024-12-10T23:58:12Z |
publishDate | 2021-03-01 |
publisher | Instituto Nacional de Estatística | Statistics Portugal |
record_format | Article |
series | Revstat Statistical Journal |
spelling | doaj.art-41ff98c1b86e4cf090b8526a039e6ced2022-12-22T01:28:32ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712021-03-0119110.57805/revstat.v19i1.334Minimum Area Confidence Region for Weibull Distribution Based on RecordsJunmei Zhou 0Fen Jiang 1Jin Zhang 2Hainan Normal UniversityYunnan University Yunnan University Record values are commonly seen in real life applications, and many important studies on record values relate to Weibull distributions. Based on record values, we establish the minimum area confidence region for the two-parameter Weibull distribution, which is shown to be superior to the classical confidence regions for having smaller expected area. https://revstat.ine.pt/index.php/REVSTAT/article/view/334order statisticparameterrecord valuesimulationsufficient statistic |
spellingShingle | Junmei Zhou Fen Jiang Jin Zhang Minimum Area Confidence Region for Weibull Distribution Based on Records Revstat Statistical Journal order statistic parameter record value simulation sufficient statistic |
title | Minimum Area Confidence Region for Weibull Distribution Based on Records |
title_full | Minimum Area Confidence Region for Weibull Distribution Based on Records |
title_fullStr | Minimum Area Confidence Region for Weibull Distribution Based on Records |
title_full_unstemmed | Minimum Area Confidence Region for Weibull Distribution Based on Records |
title_short | Minimum Area Confidence Region for Weibull Distribution Based on Records |
title_sort | minimum area confidence region for weibull distribution based on records |
topic | order statistic parameter record value simulation sufficient statistic |
url | https://revstat.ine.pt/index.php/REVSTAT/article/view/334 |
work_keys_str_mv | AT junmeizhou minimumareaconfidenceregionforweibulldistributionbasedonrecords AT fenjiang minimumareaconfidenceregionforweibulldistributionbasedonrecords AT jinzhang minimumareaconfidenceregionforweibulldistributionbasedonrecords |