On the Alpha Power Transformed Power Lindley Distribution
Joint Authors
Hassan, Amal S.
Elgarhy, M.
Mohamd, Rokaya E.
Alrajhi, Sharifah
Source
Journal of Probability and Statistics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-01
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Hassan, Amal S.& Elgarhy, M.& Mohamd, Rokaya E.& Alrajhi, Sharifah. 2019. On the Alpha Power Transformed Power Lindley Distribution. Journal of Probability and Statistics،Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1186868
Modern Language Association (MLA)
Hassan, Amal S.…[et al.]. On the Alpha Power Transformed Power Lindley Distribution. Journal of Probability and Statistics No. 2019 (2019), pp.1-13.
https://search.emarefa.net/detail/BIM-1186868
American Medical Association (AMA)
Hassan, Amal S.& Elgarhy, M.& Mohamd, Rokaya E.& Alrajhi, Sharifah. On the Alpha Power Transformed Power Lindley Distribution. Journal of Probability and Statistics. 2019. Vol. 2019, no. 2019, pp.1-13.
https://search.emarefa.net/detail/BIM-1186868
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186868