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On the Inverse Power Gompertz Distribution

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Abstract

In this article, we introduce inverse Power Gompertz distribution with three parameters. Some statistical properties are presented such as hazard rate function, quartile, probability weighted (moments), skewness, kurtosis, entropies function, Bonferroni and Lorenz curves and order statistics. The model parameters are estimated by the method of maximum likelihood, least squares, weighted least squares and Cramérvon Mises. Further, Monte Carlo simulations are carried out to compare between all methods. Finally, the extended model is applied on a real data and the results are given and compared to other models.

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Authors and Affiliations

  1. Department of Statistics Mathematics and Insurance, Faculty of Commerce, Tanta University, Tanta, Egypt

    Dina H. Abdelhady

  2. Cairo Higher Institutes in Mokattam, Cairo, Egypt

    Yasser M. Amer

Authors
  1. Dina H. Abdelhady
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  2. Yasser M. Amer
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Correspondence to Yasser M. Amer.

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Abdelhady, D.H., Amer, Y.M. On the Inverse Power Gompertz Distribution. Ann. Data. Sci. 8, 451–473 (2021). https://doi.org/10.1007/s40745-020-00246-4

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  • DOI: https://doi.org/10.1007/s40745-020-00246-4

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