The Marshall-Olkin-Gompertz-G family of distributions: properties and applications

Volume 14, Issue 4, pp 250--267 http://dx.doi.org/10.22436/jnsa.014.04.05

Publication Date: January 13, 2021 Submission Date: October 08, 2020 Revision Date: October 29, 2020 Accteptance Date: December 02, 2020

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Authors

Fastel Chipepa - Department of Mathematical Statistics, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana. - Department of Applied Mathematics and Statistics, Midlands State University, P. Bag 9055, Gweru, Zimbabwe. Broderick Oluyede - Department of Mathematical Statistics, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana.

Abstract

We develop a new generalized family of the Gompertz-G distribution, namely, the Marshall-Olkin-Gompertz-G distribution. Statistical properties of the new proposed model are presented. Some special cases of the new family of distributions are presented. Maximum likelihood estimates of the model parameters are also determined. A simulation study was conducted to assess the performance of the maximum likelihood estimates. Applications to demonstrate the usefulness of the Marshall-Olkin-Gompertz-Weibull distribution to real data examples are provided.

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Keywords

• Gompertz-G distribution
• Marshall-Olkin-G distribution
• maximum likelihood estimation

MSC

•  62E99
•  60E05

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