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: Ramadan A. ZeinEldin, Muhammad Ahsan ul Haq, Sharqa Hashmi, Mahmoud Elsehety
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/1860813
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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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AT sharqahashmi alphapowertransformedinverselomaxdistributionwithdifferentmethodsofestimationandapplications
AT mahmoudelsehety alphapowertransformedinverselomaxdistributionwithdifferentmethodsofestimationandapplications