Advances and Applications in Statistics

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GOMPERTZ FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS

Authors

  • Ali A. Al-Shomrani
  • A. I. Shawky
  • Osama H. Arif
  • Muhammad Aslam

Keywords:

generated family, Gompertz distribution, maximum likelihood estimation, Fisher information matrix, entropies, quantile function

DOI:

https://doi.org/10.17654/0972361723011

Abstract

In this study, we propose a new family of distributions called the Gompertz general (Gom-G) distribution. Some properties of the new family of distributions are discussed. Explicit expressions for the ordinary and incomplete moments, quantile function, entropies (Rényi and Shannon) and order statistics are derived. The maximum likelihood estimators of the parameters are studied. A special model in the new family known as Gompertz-Rayleigh (Gom-Ray) distribution is discussed. An application to real data set is given to demonstrate the importance of the new family.

Received: November 22, 2022; Revised: December 23, 2022; Accepted: January 2, 2023; Published: January 18, 2023

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Published

24-09-2025

Issue

Vol. 85 (2023)

Section

Articles

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How to Cite

GOMPERTZ FAMILY OF DISTRIBUTIONS: PROPERTIES AND APPLICATIONS. (2025). Advances and Applications in Statistics , 85, 79-103. https://doi.org/10.17654/0972361723011

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