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The Kumaraswamy Exponentiated Pareto Distribution

Author

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  • Elbatal I.

    (Institute of Statistical Studies and Research (ISSR), Department of Mathematical Statistics, Cairo University, Egypt)

Abstract

Modeling and analysis of lifetimes is an important aspect of statistical work in a wide variety of scientific and technological fields. For the first time, the called Kumaraswamy Exponentiated Pareto distribution, is introduced. Some structural properties of the proposed distribution are studied including explicit expressions for the moments and generating function. An explicit expression for Rényi entropy is obtained. The method of maximum likelihood is used for estimating the model parameters.

Suggested Citation

  • Elbatal I., 2013. "The Kumaraswamy Exponentiated Pareto Distribution," Stochastics and Quality Control, De Gruyter, vol. 28(1), pages 1-8, October.
    • Handle: RePEc:bpj:ecqcon:v:28:y:2013:i:1:p:1-8:n:1
    DOI: 10.1515/eqc-2013-0006
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    References listed on IDEAS

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    1. Kundu, Debasis & Raqab, Mohammad Z., 2005. "Generalized Rayleigh distribution: different methods of estimations," Computational Statistics & Data Analysis, Elsevier, vol. 49(1), pages 187-200, April.
    2. Silva, Rodrigo B. & Barreto-Souza, Wagner & Cordeiro, Gauss M., 2010. "A new distribution with decreasing, increasing and upside-down bathtub failure rate," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 935-944, April.
    3. Thomas P. Nadeau & Toby J. Teorey, 2003. "A Pareto Model for OLAP View Size Estimation," Information Systems Frontiers, Springer, vol. 5(2), pages 137-147, April.
    4. Mahmoudi, Eisa, 2011. "The beta generalized Pareto distribution with application to lifetime data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2414-2430.
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    Cited by:

    1. Sher B. Chhetri & Alfred A. Akinsete & Gokarna Aryal & Hongwei Long, 2017. "The Kumaraswamy transmuted Pareto distribution," Journal of Statistical Distributions and Applications, Springer, vol. 4(1), pages 1-24, December.

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