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A New Class of Power Function Distribution: Properties and Applications

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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.

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Authors and Affiliations

  1. Department of Mathematical Statistics, Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt

    Amal S. Hassan & Salwa M. Assar

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  1. Amal S. Hassan
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  2. Salwa M. Assar
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Correspondence to Salwa M. Assar.

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Hassan, A.S., Assar, S.M. A New Class of Power Function Distribution: Properties and Applications. Ann. Data. Sci. 8, 205–225 (2021). https://doi.org/10.1007/s40745-019-00195-7

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  • DOI: https://doi.org/10.1007/s40745-019-00195-7

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