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Marshall–Olkin Alpha Power Inverse Exponential Distribution: Properties and Applications

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  • Abdulkareem M. Basheer

    (Albayda University)

Abstract

In this paper, we use the method of the Marshall Olkin alpha power transformation to introduce a new generalized Marshall Olkin alpha power inverse exponential (MOAPIE) distribution. Its characterization and statistical properties are obtained, such as reliability, entropy and order statistics. Moreover, the estimation of the MOAPIE parameters is discussed by using maximum likelihood estimation method. Finally, application of the proposed new distribution to a real data representing the survival times in days of guinea pigs injected with different doses of tubercle bacilli is given and its goodness-of-fit is demonstrated. In addition, comparisons to other models are carried out to illustrate the flexibility of the proposed model.

Suggested Citation

  • Abdulkareem M. Basheer, 2022. "Marshall–Olkin Alpha Power Inverse Exponential Distribution: Properties and Applications," Annals of Data Science, Springer, vol. 9(2), pages 301-313, April.
    • Handle: RePEc:spr:aodasc:v:9:y:2022:i:2:d:10.1007_s40745-019-00229-0
    DOI: 10.1007/s40745-019-00229-0
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    References listed on IDEAS

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    1. Abbas Mahdavi & Debasis Kundu, 2017. "A new method for generating distributions with an application to exponential distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(13), pages 6543-6557, July.
    2. M. Nassar & A. Alzaatreh & M. Mead & O. Abo-Kasem, 2017. "Alpha power Weibull distribution: Properties and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(20), pages 10236-10252, October.
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