A New Truncated Muth Generated Family of Distributions with Applications
In recent years, the Muth distribution has been used for the construction of accurate statistical models, with applications in various applied fields. In this paper, we use a truncated-composed scheme to create a new unit Muth distribution, from which we motivate a more general family of continuous...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/1211526 |
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| _version_ | 1832561488143843328 |
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| author | Abdullah M. Almarashi Farrukh Jamal Christophe Chesneau Mohammed Elgarhy |
| author_facet | Abdullah M. Almarashi Farrukh Jamal Christophe Chesneau Mohammed Elgarhy |
| author_sort | Abdullah M. Almarashi |
| collection | DOAJ |
| description | In recent years, the Muth distribution has been used for the construction of accurate statistical models, with applications in various applied fields. In this paper, we use a truncated-composed scheme to create a new unit Muth distribution, from which we motivate a more general family of continuous distributions called the truncated Muth generated family. The key benefits of this family are its analytical simplicity, connections with the exponential generated family, and flexibility conferred on any parental distribution. In particular, it improves the capability of the functions of the parental distribution, enhancing their peak, asymmetry, tail, and flatness levels, among others. The characteristics of quantile and moment measures and functions of the truncated Muth generated family are described in detail. As a concrete example, a particular distribution that extends the Weibull distribution is highlighted. In an applied part, the parameters are calculated using the maximum likelihood procedure. We use a comprehensive simulation analysis to demonstrate the accuracy of the derived estimates. The revised Weibull model is then used to fit two real-world datasets. The new model is shown to be more suited to these datasets than other competing models. |
| format | Article |
| id | doaj-art-3b2497ee05a24d7b9cb67e0ca6e4d149 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-3b2497ee05a24d7b9cb67e0ca6e4d1492025-02-03T01:24:49ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/12115261211526A New Truncated Muth Generated Family of Distributions with ApplicationsAbdullah M. Almarashi0Farrukh Jamal1Christophe Chesneau2Mohammed Elgarhy3Statistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Saudi ArabiaDepartment of Statistics, The Islamia University of Bahawalpur, Bahawalpur, Punjab 63100, PakistanUniversité de Caen, LMNO, Campus II, Science 3, Caen 14032, FranceThe Higher Institute of Commercial Sciences, Al Mahalla Al Kubra, Algarbia 31951, EgyptIn recent years, the Muth distribution has been used for the construction of accurate statistical models, with applications in various applied fields. In this paper, we use a truncated-composed scheme to create a new unit Muth distribution, from which we motivate a more general family of continuous distributions called the truncated Muth generated family. The key benefits of this family are its analytical simplicity, connections with the exponential generated family, and flexibility conferred on any parental distribution. In particular, it improves the capability of the functions of the parental distribution, enhancing their peak, asymmetry, tail, and flatness levels, among others. The characteristics of quantile and moment measures and functions of the truncated Muth generated family are described in detail. As a concrete example, a particular distribution that extends the Weibull distribution is highlighted. In an applied part, the parameters are calculated using the maximum likelihood procedure. We use a comprehensive simulation analysis to demonstrate the accuracy of the derived estimates. The revised Weibull model is then used to fit two real-world datasets. The new model is shown to be more suited to these datasets than other competing models.http://dx.doi.org/10.1155/2021/1211526 |
| spellingShingle | Abdullah M. Almarashi Farrukh Jamal Christophe Chesneau Mohammed Elgarhy A New Truncated Muth Generated Family of Distributions with Applications Complexity |
| title | A New Truncated Muth Generated Family of Distributions with Applications |
| title_full | A New Truncated Muth Generated Family of Distributions with Applications |
| title_fullStr | A New Truncated Muth Generated Family of Distributions with Applications |
| title_full_unstemmed | A New Truncated Muth Generated Family of Distributions with Applications |
| title_short | A New Truncated Muth Generated Family of Distributions with Applications |
| title_sort | new truncated muth generated family of distributions with applications |
| url | http://dx.doi.org/10.1155/2021/1211526 |
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