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Odd Hyperbolic Cosine Exponential-Exponential (OHC-EE) Distribution

Author

Listed:
  • Omid Kharazmi

    (Vali-e-Asr university of Rafsanjan)

  • Ali Saadatinik

    (University of Mazandaran)

  • Shahla Jahangard

    (Isfahan Univesity of Technology)

Abstract

In the present paper, we introduce a new lifetime distribution based on the general odd hyperbolic cosine-FG model. Some important properties of proposed model including survival function, quantile function, hazard function, order statistic are obtained. In addition estimating unknown parameters of this model will be examined from the perspective of classic and Bayesian statistics. Moreover, an example of real data set is studied; point and interval estimations of all parameters are obtained by maximum likelihood, bootstrap (parametric and non-parametric) and Bayesian procedures. Finally, the superiority of proposed model in terms of parent exponential distribution over other fundamental statistical distributions is shown via the example of real observations.

Suggested Citation

  • Omid Kharazmi & Ali Saadatinik & Shahla Jahangard, 2019. "Odd Hyperbolic Cosine Exponential-Exponential (OHC-EE) Distribution," Annals of Data Science, Springer, vol. 6(4), pages 765-785, December.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:4:d:10.1007_s40745-019-00200-z
    DOI: 10.1007/s40745-019-00200-z
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    References listed on IDEAS

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    1. 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. Ebrahim Bonyadi & Lida Sarreshtehdari, 2021. "The Global Entrepreneurship Index (GEI): a critical review," Journal of Global Entrepreneurship Research, Springer;UNESCO Chair in Entrepreneurship, vol. 11(1), pages 469-488, December.
    2. Wanting Wang & Zubair Ahmad & Omid Kharazmi & Clement Boateng Ampadu & E H Hafez & Marwa M Mohie El-Din, 2021. "New generalized-X family: Modeling the reliability engineering applications," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-26, March.

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