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The Marshall–Olkin Generalized Inverse Weibull Distribution: Properties and Application

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  • Hamdy M. Salem

Abstract

In this paper, a new distribution namely, The Marshall–OlkinGeneralized Inverse Weibull Distribution is illustrated and studied. The new distribution is very flexible and contains sub-models such asinverse exponential, inverse Rayleigh, Weibull, inverse Weibull, Marshall–Olkininverse Weibull and Fréchetdistributions. Also, the hazard function of the new distribution can produce variety of forms-an increase, a decrease and an upside-down bathtub. Some properties such as hazard function, quintile function, entropy, moment generating function and order statistics are obtained. Different estimation approaches namely, maximum likelihood estimators, interval estimators, least square estimators, fisher information matrix and asymptotic confidence intervals are described. To illustrate the superior performance of the proposed distribution, a simulation study and a real data analysis are investigated against other models.

Suggested Citation

  • Hamdy M. Salem, 2019. "The Marshall–Olkin Generalized Inverse Weibull Distribution: Properties and Application," Modern Applied Science, Canadian Center of Science and Education, vol. 13(2), pages 1-54, February.
    • Handle: RePEc:ibn:masjnl:v:13:y:2022:i:2:p:54
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    References listed on IDEAS

    as
    1. Kundu, Debasis & Howlader, Hatem, 2010. "Bayesian inference and prediction of the inverse Weibull distribution for Type-II censored data," Computational Statistics & Data Analysis, Elsevier, vol. 54(6), pages 1547-1558, June.
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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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