The Gompertz-G family of distributions

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A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate (2017, methodology): “[16], the cdf and pdf of the Gompertz generalized family of distribution are given by”
The Generalized Odd Weibull Generated Family of Distributions:Statistical Properties and Applications (2018, background): “Let a = inf{x|G(x) > 0}, the asymptotics of equations (4), (5) and (6) as x → a are given by F(x)~G(x)asx → a, f(x)~αβg(x) G(x)asx → a, h(x)~αβg(x) G(x)asx → a.”
Discrete Gompertz-G Family of Distributions for Over- and Under-Dispersed Data with Properties, Estimation, and Applications (2020, methodology): “[14] introduced the Gz-G family based on a technique introduced by Alzaatreh et al.”