The Skew-Reflected-Gompertz distribution for analyzing symmetric and asymmetric data

On weighted exponential-Gompertz distribution: properties and application

“…Some issues for future research may be considering different estimation methods of the unknown parameters. In addition, the new model properties can be compared with process based on two-piece distributions (Maleki and Mahmoudi [16] and Hoseinzadeh et al [17]).…”

Skew-Reflected-Gompertz Information Quantifiers with Application to Sea Surface Temperature Records

“…The SRG distribution is an extension of the GZ proposed by [1]. If Y follows, the SRG distribution is denoted by Y ∼ SRG(µ, σ, η, ε) and has pdf…”

“…According to [1], the SRG distribution can be re-parametrized in terms of GZ and Reflected-GZ distributions as…”

“…The Skew-Reflected-Gompertz (SRG) distribution was recently introduced by [1] and corresponds to an extension of the Gompertz distribution [2], named after Benjamin Gompertz (1779Gompertz ( -1865. It extends the positive dominion R + to the whole of R by an extra parameter, ε, −1 < ε < 1, and produces two-piece asymmetric behavior of Gompertz (GZ) density.…”

“…[5,6] dealt with the frequentist and Bayesian inferences of ESN distribution. Contributions by [1] provided probability density function (pdf), cumulative distribution function (cdf), quantile function, moment-generating function (MGF), stochastic representation, the Expectation-Maximization (EM) algorithm for SRG parameter estimates and the Fisher information matrix (FIM).…”