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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Bibliographic Details
Published in:Journal of probability and statistics 2019, Vol.2019 (2019), p.1-13
Main Authors: Alrajhi, Sharifah, Mohamd, Rokaya E., Elgarhy, M., Hassan, Amal S.
Format: Article
Language:English
Subjects:
Applied mathematics
Computer simulation
Economic models
Electric power distribution
Mathematical models
Parameter estimation
Quantiles
Science
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Summary: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.
ISSN:1687-952X
1687-9538
DOI:10.1155/2019/8024769