On the Alpha Power Transformed Power Lindley Distribution

In this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and...

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Main Authors: Amal S. Hassan, M. Elgarhy, Rokaya E. Mohamd, Sharifah Alrajhi
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2019/8024769
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author Amal S. Hassan
M. Elgarhy
Rokaya E. Mohamd
Sharifah Alrajhi
author_facet Amal S. Hassan
M. Elgarhy
Rokaya E. Mohamd
Sharifah Alrajhi
author_sort Amal S. Hassan
collection DOAJ
description In this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and gamma as special submodels. Various properties of the APTPL distribution including moments, incomplete moments, quantiles, entropy, and stochastic ordering are obtained. Maximum likelihood, maximum products of spacings, and ordinary and weighted least squares methods of estimation are utilized to obtain the estimators of the population parameters. Extensive numerical simulation is performed to examine and compare the performance of different estimates. Two important data sets are employed to show how the proposed model works in practice.
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institution Kabale University
issn 1687-952X
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language English
publishDate 2019-01-01
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record_format Article
series Journal of Probability and Statistics
spelling doaj-art-fee1fe5b699445f3bd790e59a2cb40892025-02-03T05:44:38ZengWileyJournal of Probability and Statistics1687-952X1687-95382019-01-01201910.1155/2019/80247698024769On the Alpha Power Transformed Power Lindley DistributionAmal S. Hassan0M. Elgarhy1Rokaya E. Mohamd2Sharifah Alrajhi3Institute of Statistical Studies and Research, Cairo University, EgyptVice Presidency for Graduate Studies and Scientific Research, University of Jeddah, Jeddah, Saudi ArabiaInstitute of Statistical Studies and Research, Cairo University, EgyptStatistics Department, Faculty of Science, King AbdulAziz University, Jeddah, Saudi ArabiaIn this paper, we introduce a new generalization of the power Lindley distribution referred to as the alpha power transformed power Lindley (APTPL). The APTPL model provides a better fit than the power Lindley distribution. It includes the alpha power transformed Lindley, power Lindley, Lindley, and gamma as special submodels. Various properties of the APTPL distribution including moments, incomplete moments, quantiles, entropy, and stochastic ordering are obtained. Maximum likelihood, maximum products of spacings, and ordinary and weighted least squares methods of estimation are utilized to obtain the estimators of the population parameters. Extensive numerical simulation is performed to examine and compare the performance of different estimates. Two important data sets are employed to show how the proposed model works in practice.http://dx.doi.org/10.1155/2019/8024769
spellingShingle Amal S. Hassan
M. Elgarhy
Rokaya E. Mohamd
Sharifah Alrajhi
On the Alpha Power Transformed Power Lindley Distribution
Journal of Probability and Statistics
title On the Alpha Power Transformed Power Lindley Distribution
title_full On the Alpha Power Transformed Power Lindley Distribution
title_fullStr On the Alpha Power Transformed Power Lindley Distribution
title_full_unstemmed On the Alpha Power Transformed Power Lindley Distribution
title_short On the Alpha Power Transformed Power Lindley Distribution
title_sort on the alpha power transformed power lindley distribution
url http://dx.doi.org/10.1155/2019/8024769
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