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A New Generalized Family of Odd Lindley-G Distributions With Application

Author

Listed:
  • Fastel Chipepa
  • Broderick O. Oluyede
  • Boikanyo Makubate

Abstract

A new family of distributions, namely the Kumaraswamy Odd Lindley-G distribution is developed. The new density function can be expressed as a linear combination of exponentiated-G densities. Statistical properties of the new family including hazard rate and quantile functions, moments and incomplete moments, Bonferroni and Lorenz curves, distribution of order statistics and R´enyi entropy are derived. Some special cases are presented. We conduct some Monte Carlo simulations to examine the consistency of the maximum likelihood estimates. We provide an application of KOL-LLo distribution to a real data set.

Suggested Citation

  • Fastel Chipepa & Broderick O. Oluyede & Boikanyo Makubate, 2019. "A New Generalized Family of Odd Lindley-G Distributions With Application," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-1, November.
    • Handle: RePEc:ibn:ijspjl:v:8:y:2019:i:6:p:1
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    References listed on IDEAS

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    1. Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012. "Generalized beta-generated distributions," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
    2. Broderick O. Oluyede & Shujiao Huang & Mavis Pararai, 2014. "A New Class of Generalized Dagum Distribution with Applications to Income and Lifetime Data," Journal of Statistical and Econometric Methods, SCIENPRESS Ltd, vol. 3(2), pages 1-8.
    3. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
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    Cited by:

    1. Fastel Chipepa & Broderick Oluyede & Boikanyo Makubate, 2020. "The Topp-Leone Marshall-Olkin-G Family of Distributions With Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(4), pages 1-15, July.

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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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