Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling
It is well known that ranked set sampling (RSS) is superior to conventional simple random sampling (SRS) in that it frequently results in more effective inference techniques. One of the most popular and broadly applicable models for lifetime data is the Weibull distribution. This article proposes di...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/24/4700 |
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| author | Safar M. Alghamdi Rashad A. R. Bantan Amal S. Hassan Heba F. Nagy Ibrahim Elbatal Mohammed Elgarhy |
| author_facet | Safar M. Alghamdi Rashad A. R. Bantan Amal S. Hassan Heba F. Nagy Ibrahim Elbatal Mohammed Elgarhy |
| author_sort | Safar M. Alghamdi |
| collection | DOAJ |
| description | It is well known that ranked set sampling (RSS) is superior to conventional simple random sampling (SRS) in that it frequently results in more effective inference techniques. One of the most popular and broadly applicable models for lifetime data is the Weibull distribution. This article proposes different modified goodness-of-fit tests based on the empirical distribution function (EDF) for the Weibull distribution. The recommended RSS tests are compared to their SRS counterparts. For each scheme, the critical values of the relevant test statistics are computed. A comparison of the power of the suggested goodness-of-fit tests based on a number of alternatives is investigated. RSS tests are more effective than their SRS equivalents, according to simulated data. |
| first_indexed | 2024-03-09T16:07:48Z |
| format | Article |
| id | doaj.art-147b0683d7464899823da287caa0fd79 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T16:07:48Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-147b0683d7464899823da287caa0fd792023-11-24T16:28:14ZengMDPI AGMathematics2227-73902022-12-011024470010.3390/math10244700Improved EDF-Based Tests for Weibull Distribution Using Ranked Set SamplingSafar M. Alghamdi0Rashad A. R. Bantan1Amal S. Hassan2Heba F. Nagy3Ibrahim Elbatal4Mohammed Elgarhy5Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Marine Geology, Faculty of Marine Science, King Abdulaziz University, Jeddah 21551, Saudi ArabiaFaculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptFaculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptFaculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, EgyptThe Higher Institute of Commercial Sciences, Al Mahalla Al Kubra 31951, EgyptIt is well known that ranked set sampling (RSS) is superior to conventional simple random sampling (SRS) in that it frequently results in more effective inference techniques. One of the most popular and broadly applicable models for lifetime data is the Weibull distribution. This article proposes different modified goodness-of-fit tests based on the empirical distribution function (EDF) for the Weibull distribution. The recommended RSS tests are compared to their SRS counterparts. For each scheme, the critical values of the relevant test statistics are computed. A comparison of the power of the suggested goodness-of-fit tests based on a number of alternatives is investigated. RSS tests are more effective than their SRS equivalents, according to simulated data.https://www.mdpi.com/2227-7390/10/24/4700goodness-of-fit testsranked set samplingpower testWeibull distribution |
| spellingShingle | Safar M. Alghamdi Rashad A. R. Bantan Amal S. Hassan Heba F. Nagy Ibrahim Elbatal Mohammed Elgarhy Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling Mathematics goodness-of-fit tests ranked set sampling power test Weibull distribution |
| title | Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling |
| title_full | Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling |
| title_fullStr | Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling |
| title_full_unstemmed | Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling |
| title_short | Improved EDF-Based Tests for Weibull Distribution Using Ranked Set Sampling |
| title_sort | improved edf based tests for weibull distribution using ranked set sampling |
| topic | goodness-of-fit tests ranked set sampling power test Weibull distribution |
| url | https://www.mdpi.com/2227-7390/10/24/4700 |
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