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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Main Authors: Junmei Zhou, Fen Jiang, Jin Zhang
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2021-03-01
Series:Revstat Statistical Journal
Subjects:
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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2183-0371
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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
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AT fenjiang minimumareaconfidenceregionforweibulldistributionbasedonrecords
AT jinzhang minimumareaconfidenceregionforweibulldistributionbasedonrecords