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Marshall-Olkin Power Lomax Distribution: Properties and Estimation Based on Complete and Censored Samples

Author

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  • Muhammad Ahsan Ul Haq
  • G. G. Hamedani
  • M. Elgarhy
  • Pedro Luiz Ramos

Abstract

We study a new distribution called the Marshall-Olkin Power Lomax distribution. A comprehensive account of its mathematical properties including explicit expressions for the ordinary moments, moment generating function, order statistics, Renyi entropy, and probability weighted moments are derived. The model parameters are estimated by the method of maximum likelihood. Monte Carlo simulation study is carried out to estimate the parameters and the performance of the estimates is judged via the average biases and mean squared error values. The usefulness of the proposed model is illustrated via real-life data set.

Suggested Citation

  • Muhammad Ahsan Ul Haq & G. G. Hamedani & M. Elgarhy & Pedro Luiz Ramos, 2020. "Marshall-Olkin Power Lomax Distribution: Properties and Estimation Based on Complete and Censored Samples," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(1), pages 1-48, January.
    • Handle: RePEc:ibn:ijspjl:v:9:y:2020:i:1:p:48
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    References listed on IDEAS

    as
    1. Carl M. Harris, 1968. "The Pareto Distribution as a Queue Service Discipline," Operations Research, INFORMS, vol. 16(2), pages 307-313, April.
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    Cited by:

    1. Gulnaz Raffiq & Iram Sajjad Dar & Muhammad Ahsan Ul Haq & Eduardo Ramos, 2022. "The Marshall–Olkin Inverted Nadarajah–Haghighi Distribution: Estimation and Applications," Annals of Data Science, Springer, vol. 9(6), pages 1323-1338, December.
    2. Hadeel Klakattawi & Dawlah Alsulami & Mervat Abd Elaal & Sanku Dey & Lamya Baharith, 2022. "A new generalized family of distributions based on combining Marshal-Olkin transformation with T-X family," PLOS ONE, Public Library of Science, vol. 17(2), pages 1-29, February.

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    More about this item

    JEL classification:

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

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