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Alpha Power Transformed Log‐Logistic Distribution with Application to Breaking Stress Data

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  • Maha A. Aldahlan

Abstract

In this paper, a new three‐parameter lifetime distribution is introduced; the new model is a generalization of the log‐logistic (LL) model, and it is called the alpha power transformed log‐logistic (APTLL) distribution. The APTLL distribution is more flexible than some generalizations of log‐logistic distribution. We derived some mathematical properties including moments, moment‐generating function, quantile function, Rényi entropy, and order statistics of the new model. The model parameters are estimated using maximum likelihood method of estimation. The simulation study is performed to investigate the effectiveness of the estimates. Finally, we used one real‐life dataset to show the flexibility of the APTLL distribution.

Suggested Citation

  • Maha A. Aldahlan, 2020. "Alpha Power Transformed Log‐Logistic Distribution with Application to Breaking Stress Data," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:2193787
    DOI: 10.1155/2020/2193787
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    References listed on IDEAS

    as
    1. Shumaila Ihtisham & Alamgir Khalil & Sadaf Manzoor & Sajjad Ahmad Khan & Amjad Ali, 2019. "Alpha-Power Pareto distribution: Its properties and applications," PLOS ONE, Public Library of Science, vol. 14(6), pages 1-15, June.
    2. 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.
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