A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data
In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes o...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1206254 |
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| _version_ | 1832556402932973568 |
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| author | Alya Al Mutairi Muhammad Z. Iqbal Muhammad Z. Arshad Ahmed Z. Afify |
| author_facet | Alya Al Mutairi Muhammad Z. Iqbal Muhammad Z. Arshad Ahmed Z. Afify |
| author_sort | Alya Al Mutairi |
| collection | DOAJ |
| description | In this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. Six accredited estimation methods are discussed, and their performance is assessed and compared by a simulation study. The applicability of the new class is evaluated by analyzing the automotive engineering sector data. |
| format | Article |
| id | doaj-art-a7e8e6c212ad4fbd8c69c2099bb1983a |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-a7e8e6c212ad4fbd8c69c2099bb1983a2025-02-03T05:45:29ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1206254A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering DataAlya Al Mutairi0Muhammad Z. Iqbal1Muhammad Z. Arshad2Ahmed Z. Afify3Department of MathematicsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of Statistics, Mathematics and InsuranceIn this study, a new class that generates optimal univariate models called a new exponentiated-G class of distributions is developed. Numerous complementary statistical properties are derived and discussed in detail for the newly exponentiated power function (EPF) distribution. All possible shapes of the probability density and hazard rate functions are sketched for selected values of parameters. Six accredited estimation methods are discussed, and their performance is assessed and compared by a simulation study. The applicability of the new class is evaluated by analyzing the automotive engineering sector data.http://dx.doi.org/10.1155/2022/1206254 |
| spellingShingle | Alya Al Mutairi Muhammad Z. Iqbal Muhammad Z. Arshad Ahmed Z. Afify A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data Journal of Mathematics |
| title | A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data |
| title_full | A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data |
| title_fullStr | A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data |
| title_full_unstemmed | A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data |
| title_short | A New Class of the Power Function Distribution: Theory and Inference with an Application to Engineering Data |
| title_sort | new class of the power function distribution theory and inference with an application to engineering data |
| url | http://dx.doi.org/10.1155/2022/1206254 |
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