On the Inverse Power Gompertz Distribution
Dina H. Abdelhady and
Yasser M. Amer ()
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Dina H. Abdelhady: Tanta University
Yasser M. Amer: Cairo Higher Institutes in Mokattam
Annals of Data Science, 2021, vol. 8, issue 3, No 2, 473 pages
Abstract:
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.
Keywords: Gompertz distribution; Inverse Gompertz distribution; Hazard rate function; Estimation methods (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)
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Persistent link: https://EconPapers.repec.org/RePEc:spr:aodasc:v:8:y:2021:i:3:d:10.1007_s40745-020-00246-4
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DOI: 10.1007/s40745-020-00246-4
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