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Harris Extended Power Lomax Distribution: Properties, Inference and Applications

Author

Listed:
  • Adebisi Ade Ogunde
  • Victoria Eshomomoh Laoye
  • Ogbonnaya Nzie Ezichi
  • Kayode Oguntuase Balogun

Abstract

In this work, we present a five-parameter life time distribution called Harris power Lomax (HPL) distribution which is obtained by convoluting the Harris-G distribution and the Power Lomax distribution. When compared to the existing distributions, the new distribution exhibits a very flexible probability functions; which may be increasing, decreasing, J, and reversed J shapes been observed for the probability density and hazard rate functions. The structural properties of the new distribution are studied in detail which includes- moments, incomplete moment, Renyl entropy, order statistics, Bonferroni curve, and Lorenz curve etc. The HPL distribution parameters are estimated by using the method of maximum likelihood. Monte Carlo simulation was carried out to investigate the performance of MLEs. Aircraft wind shield data and Glass fibre data applications demonstrate the applicability of the proposed model.

Suggested Citation

  • Adebisi Ade Ogunde & Victoria Eshomomoh Laoye & Ogbonnaya Nzie Ezichi & Kayode Oguntuase Balogun, 2021. "Harris Extended Power Lomax Distribution: Properties, Inference and Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 10(4), pages 1-77, July.
    • Handle: RePEc:ibn:ijspjl:v:10:y:2021:i:4:p:77
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    References listed on IDEAS

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    1. Richard L. Smith & J. C. Naylor, 1987. "A Comparison of Maximum Likelihood and Bayesian Estimators for the Three‐Parameter Weibull Distribution," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 358-369, November.
    2. Ahmad Alzaghal & Duha Hamed, 2019. "New Families of Generalized Lomax Distributions: Properties and Applications," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(6), pages 1-51, November.
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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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