Geodesic
The Marshall-Olkin-Gompertz-G family of distributions: properties and applications :
Chipepa, Fastel 1   ; Oluyede, Broderick 2
1 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
2 Department of Mathematical Statistics, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana
Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 4, p. 250-267 Cet article a éte moissonné depuis la source International Scientific Research Publications

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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.

DOI : 10.22436/jnsa.014.04.05
Classification : 62E99, 60E05
Keywords: Gompertz-G distribution, Marshall-Olkin-G distribution, maximum likelihood estimation

Chipepa, Fastel   1   ; Oluyede, Broderick   2

1 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
2 Department of Mathematical Statistics, Botswana International University of Science and Technology, P. Bag 16, Palapye, Botswana 
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Chipepa, Fastel ; Oluyede, Broderick . The Marshall-Olkin-Gompertz-G family of distributions: properties and applications. Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 4, p. 250-267. doi: 10.22436/jnsa.014.04.05

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