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A New Class of Power Function Distribution: Properties and Applications

Author

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  • Amal S. Hassan

    (Cairo University)

  • Salwa M. Assar

    (Cairo University)

Abstract

A new class of lifetime distributions called the power function power series (PFPS) is introduced. This new class is obtained by compounding power function and power series distributions. Structural properties of PFPS class are studied, including; quantile function, order statistics, moments, Bonferroni and Lorenz curves, probability weighted moments, mean residual life and entropy measure. Two sub-models in the new class of PFPS are provided. Maximum likelihood method is employed to obtain parameter estimator of the class. Analysis of two real data sets is conducted to demonstrate the usefulness of two sub-models from the new class.

Suggested Citation

  • Amal S. Hassan & Salwa M. Assar, 2021. "A New Class of Power Function Distribution: Properties and Applications," Annals of Data Science, Springer, vol. 8(2), pages 205-225, June.
    • Handle: RePEc:spr:aodasc:v:8:y:2021:i:2:d:10.1007_s40745-019-00195-7
    DOI: 10.1007/s40745-019-00195-7
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    References listed on IDEAS

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    1. 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.
    2. Silva, Rodrigo B. & Bourguignon, Marcelo & Dias, Cícero R.B. & Cordeiro, Gauss M., 2013. "The compound class of extended Weibull power series distributions," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 352-367.
    3. Adamidis, K. & Loukas, S., 1998. "A lifetime distribution with decreasing failure rate," Statistics & Probability Letters, Elsevier, vol. 39(1), pages 35-42, July.
    4. Mahmoudi, Eisa & Jafari, Ali Akbar, 2012. "Generalized exponential–power series distributions," Computational Statistics & Data Analysis, Elsevier, vol. 56(12), pages 4047-4066.
    5. Morais, Alice Lemos & Barreto-Souza, Wagner, 2011. "A compound class of Weibull and power series distributions," Computational Statistics & Data Analysis, Elsevier, vol. 55(3), pages 1410-1425, March.
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    Cited by:

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    2. Abdulaziz S. Alghamdi & M. M. Abd El-Raouf, 2023. "Exploring the Dynamics of COVID-19 with a Novel Family of Models," Mathematics, MDPI, vol. 11(7), pages 1-29, March.

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