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The Kumaraswamy transmuted Pareto distribution

Author

Listed:
  • Sher B. Chhetri

    (Florida Atlantic University)

  • Alfred A. Akinsete

    (Marshall University)

  • Gokarna Aryal

    (Purdue University Northwest)

  • Hongwei Long

    (Florida Atlantic University)

Abstract

In this work, a new five-parameter Kumaraswamy transmuted Pareto (KwTP) distribution is introduced and studied. We discuss various mathematical and statistical properties of the distribution including obtaining expressions for the moments, quantiles, mean deviations, skewness, kurtosis, reliability and order statistics. The estimation of the model parameters is performed by the method of maximum likelihood. We compare the distribution with few other distributions to show its versatility in modeling data with heavy tail.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:jstada:v:4:y:2017:i:1:d:10.1186_s40488-017-0065-4
    DOI: 10.1186/s40488-017-0065-4
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    References listed on IDEAS

    as
    1. Robert King & Irene Lena Hudson & Muhammad Shuaib Khan, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition new series, Główny Urząd Statystyczny (Polska), vol. 17(2), pages 183-210, June.
    2. Muhammad H Tahir & Gauss M. Cordeiro, 2016. "Compounding of distributions: a survey and new generalized classes," Journal of Statistical Distributions and Applications, Springer, vol. 3(1), pages 1-35, December.
    3. Elbatal I., 2013. "The Kumaraswamy Exponentiated Pareto Distribution," Stochastics and Quality Control, De Gruyter, vol. 28(1), pages 1-8, October.
    4. William T. Shaw & Ian R. C. Buckley, 2009. "The alchemy of probability distributions: beyond Gram-Charlier expansions, and a skew-kurtotic-normal distribution from a rank transmutation map," Papers 0901.0434, arXiv.org.
    5. Muhammad Shuaib Khan & Robert King & Irene Lena Hudson, 2016. "Transmuted Kumaraswamy Distribution," Statistics in Transition New Series, Polish Statistical Association, vol. 17(2), pages 183-210, June.
    Full references (including those not matched with items on IDEAS)

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