Exponentiated Power Function Distribution: Properties and Applications
In this study, we have focused to propose a flexible model that demonstrates increasing, decreasing and upside-down bathtub-shaped density and failure rate functions. The proposed model refers to as the exponentiated power function (EPF) distribution. Some mathematical and reliability measures are d...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer
2020-07-01
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| Series: | Journal of Statistical Theory and Applications (JSTA) |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/125941613/view |
| _version_ | 1818547303372292096 |
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| author | Muhammad Zeshan Arshad Muhammad Zafar Iqbal Munir Ahmad |
| author_facet | Muhammad Zeshan Arshad Muhammad Zafar Iqbal Munir Ahmad |
| author_sort | Muhammad Zeshan Arshad |
| collection | DOAJ |
| description | In this study, we have focused to propose a flexible model that demonstrates increasing, decreasing and upside-down bathtub-shaped density and failure rate functions. The proposed model refers to as the exponentiated power function (EPF) distribution. Some mathematical and reliability measures are developed and derived. We develop explicit expressions for the moments, quantile function and order statistics. Some shapes of the density and the reliability functions are sketched out and discussed. We suggest the method to estimate the unknown parameters of EPF by the maximum likelihood estimation. Two suitable lifetime datasets from engineering sector are used to explore the dominance of the EPF distribution. |
| first_indexed | 2024-12-12T08:04:57Z |
| format | Article |
| id | doaj.art-ccde3506bc324b87849acca848035c8a |
| institution | Directory Open Access Journal |
| issn | 2214-1766 |
| language | English |
| last_indexed | 2024-12-12T08:04:57Z |
| publishDate | 2020-07-01 |
| publisher | Springer |
| record_format | Article |
| series | Journal of Statistical Theory and Applications (JSTA) |
| spelling | doaj.art-ccde3506bc324b87849acca848035c8a2022-12-22T00:32:01ZengSpringerJournal of Statistical Theory and Applications (JSTA)2214-17662020-07-0119210.2991/jsta.d.200514.001Exponentiated Power Function Distribution: Properties and ApplicationsMuhammad Zeshan ArshadMuhammad Zafar IqbalMunir AhmadIn this study, we have focused to propose a flexible model that demonstrates increasing, decreasing and upside-down bathtub-shaped density and failure rate functions. The proposed model refers to as the exponentiated power function (EPF) distribution. Some mathematical and reliability measures are developed and derived. We develop explicit expressions for the moments, quantile function and order statistics. Some shapes of the density and the reliability functions are sketched out and discussed. We suggest the method to estimate the unknown parameters of EPF by the maximum likelihood estimation. Two suitable lifetime datasets from engineering sector are used to explore the dominance of the EPF distribution.https://www.atlantis-press.com/article/125941613/viewExponentiated distributionPower function distributionBathtub-shaped failure rateOrder statisticsRényi entropyMaximum likelihood estimation |
| spellingShingle | Muhammad Zeshan Arshad Muhammad Zafar Iqbal Munir Ahmad Exponentiated Power Function Distribution: Properties and Applications Journal of Statistical Theory and Applications (JSTA) Exponentiated distribution Power function distribution Bathtub-shaped failure rate Order statistics Rényi entropy Maximum likelihood estimation |
| title | Exponentiated Power Function Distribution: Properties and Applications |
| title_full | Exponentiated Power Function Distribution: Properties and Applications |
| title_fullStr | Exponentiated Power Function Distribution: Properties and Applications |
| title_full_unstemmed | Exponentiated Power Function Distribution: Properties and Applications |
| title_short | Exponentiated Power Function Distribution: Properties and Applications |
| title_sort | exponentiated power function distribution properties and applications |
| topic | Exponentiated distribution Power function distribution Bathtub-shaped failure rate Order statistics Rényi entropy Maximum likelihood estimation |
| url | https://www.atlantis-press.com/article/125941613/view |
| work_keys_str_mv | AT muhammadzeshanarshad exponentiatedpowerfunctiondistributionpropertiesandapplications AT muhammadzafariqbal exponentiatedpowerfunctiondistributionpropertiesandapplications AT munirahmad exponentiatedpowerfunctiondistributionpropertiesandapplications |