Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications
In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantil...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/1860813 |
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| _version_ | 1832547150199783424 |
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| author | Ramadan A. ZeinEldin Muhammad Ahsan ul Haq Sharqa Hashmi Mahmoud Elsehety |
| author_facet | Ramadan A. ZeinEldin Muhammad Ahsan ul Haq Sharqa Hashmi Mahmoud Elsehety |
| author_sort | Ramadan A. ZeinEldin |
| collection | DOAJ |
| description | In this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution. |
| format | Article |
| id | doaj-art-660f04a0f10b40dc8b6e2da56bc60c4c |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-660f04a0f10b40dc8b6e2da56bc60c4c2025-02-03T06:45:59ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/18608131860813Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and ApplicationsRamadan A. ZeinEldin0Muhammad Ahsan ul Haq1Sharqa Hashmi2Mahmoud Elsehety3Deanship of Scientific Research, King Abdulaziz University, Jeddah, Saudi ArabiaQuality Enhancement Cell, National College of Arts, Lahore, PakistanCollege of Statistical & Actuarial Sciences, University of the Punjab, Lahore, PakistanKing Abdulaziz University, Jeddah, Saudi ArabiaIn this paper, a new three-parameter lifetime distribution, alpha power transformed inverse Lomax (APTIL) distribution, is proposed. The APTIL distribution is more flexible than inverse Lomax distribution. We derived some mathematical properties including moments, moment generating function, quantile function, mode, stress strength reliability, and order statistics. Characterization related to hazard rate function is also derived. The model parameters are estimated using eight estimation methods including maximum likelihood, least squares, weighted least squares, percentile, Cramer–von Mises, maximum product of spacing, Anderson–Darling, and right-tail Anderson–Darling. Numerical results are calculated to compare the performance of these estimation methods. Finally, we used three real-life datasets to show the flexibility of the APTIL distribution.http://dx.doi.org/10.1155/2020/1860813 |
| spellingShingle | Ramadan A. ZeinEldin Muhammad Ahsan ul Haq Sharqa Hashmi Mahmoud Elsehety Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications Complexity |
| title | Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications |
| title_full | Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications |
| title_fullStr | Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications |
| title_full_unstemmed | Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications |
| title_short | Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications |
| title_sort | alpha power transformed inverse lomax distribution with different methods of estimation and applications |
| url | http://dx.doi.org/10.1155/2020/1860813 |
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