The Gompertz-G family of distributions

A New Generalization of the Lomax Distribution with Increasing, Decreasing, and Constant Failure Rate

“…According to Alizadeh et al [16], the cdf and pdf of the Gompertz generalized family of distribution are given by…”

“…Following Alizadeh et al [16], the density of the GoLom distribution in (5) can be expanded as follows: (7) where , ,…”

“…In addition to the generalized families of distributions mentioned earlier, there are several other generalized families of distributions in the literature and these are contained in Owoloko et al [13], Oguntunde et al [14], Cordeiro et al [15], and Alizadeh et al [16]. Meanwhile, of interest to us in this research is to extend the Lomax distribution using the Gompertz generalized family of distributions due to Alizadeh et al [16] because it is relatively new; it has not yet been rigorously explored, and it has some potentials which would be revealed in the later part of this article.…”

“…Meanwhile, of interest to us in this research is to extend the Lomax distribution using the Gompertz generalized family of distributions due to Alizadeh et al [16] because it is relatively new; it has not yet been rigorously explored, and it has some potentials which would be revealed in the later part of this article.…”

Discrete Gompertz-G Family of Distributions for Over- and Under-Dispersed Data with Properties, Estimation, and Applications

“…Alizadeh et al [14] introduced the Gz-G family based on a technique introduced by Alzaatreh et al [10] in which a general form is used to generate a new family, named the transformed-transformer family. Thus, the random variable X is said to have the Gz-G family if its CDF is given by ∏(y; θ, c, ψ) = 1 − e − θ c {[1−G(y;ψ)] −c −1} ; y > 0, (2) where θ > 0 and c > 0 are two additional parameters, ψ is a vector of parameters (1 × m; m = 1, 2, 3, ...), and G(y; ψ) is the baseline CDF.…”