Some estimation methods for mixture of extreme value distributions with simulation and application in medicine
In recent years, statisticians have grown increasingly engaged in research of mixture models, particularly in the previous decade, without adequate consideration of challenge of estimating the parameters of mixture models from a frequentist perspective. Except for maximum likelihood estimation, this...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-06-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722002418 |
| _version_ | 1818201694627954688 |
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| author | Showkat Ahmad Lone Sadia Anwar Tabassum Naz Sindhu Fahd Jarad |
| author_facet | Showkat Ahmad Lone Sadia Anwar Tabassum Naz Sindhu Fahd Jarad |
| author_sort | Showkat Ahmad Lone |
| collection | DOAJ |
| description | In recent years, statisticians have grown increasingly engaged in research of mixture models, particularly in the previous decade, without adequate consideration of challenge of estimating the parameters of mixture models from a frequentist perspective. Except for maximum likelihood estimation, this study addresses this vacuum by discussing the two other classical methods of estimation for mixture model. We commence by briefly describing the three frequentist approaches, namely maximum likelihood, ordinary, and weighted least squares, and then comparing them through extensive numerical simulations. The model’s applicability is illustrated by its application to simulated and real-world data, which yields promising results in terms of enhanced estimation. |
| first_indexed | 2024-12-12T02:57:38Z |
| format | Article |
| id | doaj.art-7497aeb4f8914204ae7e0de0edb528e0 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-12T02:57:38Z |
| publishDate | 2022-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-7497aeb4f8914204ae7e0de0edb528e02022-12-22T00:40:41ZengElsevierResults in Physics2211-37972022-06-0137105496Some estimation methods for mixture of extreme value distributions with simulation and application in medicineShowkat Ahmad Lone0Sadia Anwar1Tabassum Naz Sindhu2Fahd Jarad3Department of Basic Sciences, College of Science and Theoretical, Studies, Saudi Electronic University, (Jeddah-M), Riyadh 11673, Kingdom of Saudi ArabiaDepartment of Mathematics,College of Arts and Sciences, Wadi Ad Dawasir (11991), Prince Sattam Bin Abdul Aziz University, Al-Kharj, Kingdom of Saudi ArabiaDepartment of Statistics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey; Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan; Corresponding author at: Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530 Ankara, Turkey.In recent years, statisticians have grown increasingly engaged in research of mixture models, particularly in the previous decade, without adequate consideration of challenge of estimating the parameters of mixture models from a frequentist perspective. Except for maximum likelihood estimation, this study addresses this vacuum by discussing the two other classical methods of estimation for mixture model. We commence by briefly describing the three frequentist approaches, namely maximum likelihood, ordinary, and weighted least squares, and then comparing them through extensive numerical simulations. The model’s applicability is illustrated by its application to simulated and real-world data, which yields promising results in terms of enhanced estimation.http://www.sciencedirect.com/science/article/pii/S2211379722002418Mixture modelsLeast square estimationMills ratioWeighted least square estimationReliability functionMean square error |
| spellingShingle | Showkat Ahmad Lone Sadia Anwar Tabassum Naz Sindhu Fahd Jarad Some estimation methods for mixture of extreme value distributions with simulation and application in medicine Results in Physics Mixture models Least square estimation Mills ratio Weighted least square estimation Reliability function Mean square error |
| title | Some estimation methods for mixture of extreme value distributions with simulation and application in medicine |
| title_full | Some estimation methods for mixture of extreme value distributions with simulation and application in medicine |
| title_fullStr | Some estimation methods for mixture of extreme value distributions with simulation and application in medicine |
| title_full_unstemmed | Some estimation methods for mixture of extreme value distributions with simulation and application in medicine |
| title_short | Some estimation methods for mixture of extreme value distributions with simulation and application in medicine |
| title_sort | some estimation methods for mixture of extreme value distributions with simulation and application in medicine |
| topic | Mixture models Least square estimation Mills ratio Weighted least square estimation Reliability function Mean square error |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722002418 |
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