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On the Inverse Power Lomax Distribution

Author

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  • Amal S. Hassan

    (Cairo University)

  • Marwa Abd-Allah

    (Cairo University)

Abstract

We introduce and study a new three-parameter lifetime distribution named as the inverse power Lomax. The proposed distribution is obtained as the inverse form of the power Lomax distribution. Some statistical properties of the inverse power Lomax model are implemented. Based on censored samples, maximum likelihood estimators of the model parameters are obtained. An intensive simulation study is performed for evaluating the behavior of estimators based on their biases and mean square errors. Superiority of the new model over some well-known distributions is illustrated by means of real data sets. The results revealed the fact that; the suggested model can produce better fits than some well-known distributions.

Suggested Citation

  • Amal S. Hassan & Marwa Abd-Allah, 2019. "On the Inverse Power Lomax Distribution," Annals of Data Science, Springer, vol. 6(2), pages 259-278, June.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:2:d:10.1007_s40745-018-0183-y
    DOI: 10.1007/s40745-018-0183-y
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    References listed on IDEAS

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    1. Carl M. Harris, 1968. "The Pareto Distribution as a Queue Service Discipline," Operations Research, INFORMS, vol. 16(2), pages 307-313, April.
    2. Chahkandi, M. & Ganjali, M., 2009. "On some lifetime distributions with decreasing failure rate," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4433-4440, October.
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    Cited by:

    1. Ehab M. Almetwally, 2022. "The Odd Weibull Inverse Topp–Leone Distribution with Applications to COVID-19 Data," Annals of Data Science, Springer, vol. 9(1), pages 121-140, February.
    2. Sanku Dey & Emrah Altun & Devendra Kumar & Indranil Ghosh, 2023. "The Reflected-Shifted-Truncated Lomax Distribution: Associated Inference with Applications," Annals of Data Science, Springer, vol. 10(3), pages 805-828, June.
    3. Vasili B.V. Nagarjuna & R. Vishnu Vardhan & Christophe Chesneau, 2021. "Kumaraswamy Generalized Power Lomax Distributionand Its Applications," Stats, MDPI, vol. 4(1), pages 1-18, January.
    4. El-Sherpieny, El-Sayed A. & Almetwally, Ehab M. & Muhammed, Hiba Z., 2020. "Progressive Type-II hybrid censored schemes based on maximum product spacing with application to Power Lomax distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    5. Mohamed A. W. Mahmoud & Mohamed G. M. Ghazal & Hossam M. M. Radwan, 2023. "Bayesian Estimation and Optimal Censoring of Inverted Generalized Linear Exponential Distribution Using Progressive First Failure Censoring," Annals of Data Science, Springer, vol. 10(2), pages 527-554, April.

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