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On the Alpha Power Transformed Power Lindley Distribution

Author

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  • Amal S. Hassan
  • M. Elgarhy
  • Rokaya E. Mohamd
  • Sharifah Alrajhi

Abstract

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.

Suggested Citation

  • Amal S. Hassan & M. Elgarhy & Rokaya E. Mohamd & Sharifah Alrajhi, 2019. "On the Alpha Power Transformed Power Lindley Distribution," Journal of Probability and Statistics, Hindawi, vol. 2019, pages 1-13, January.
    • Handle: RePEc:hin:jnljps:8024769
    DOI: 10.1155/2019/8024769
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    Cited by:

    1. Hadeel S Klakattawi, 2022. "Survival analysis of cancer patients using a new extended Weibull distribution," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-20, February.
    2. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    3. Ateq Alghamedi & Sanku Dey & Devendra Kumar & Saeed A. Dobbah, 2020. "A New Extension of Extended Exponential Distribution with Applications," Annals of Data Science, Springer, vol. 7(1), pages 139-162, March.
    4. Joseph Thomas Eghwerido & Lawrence Chukwudumebi Nzei & Friday Ikechukwu Agu, 2021. "The Alpha Power Gompertz Distribution: Characterization, Properties, and Applications," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(1), pages 449-475, February.

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