The Alpha Power Gompertz Distribution: Characterization, Properties, and Applications

The alpha power Teissier distribution and its applications

“…Figure 2 shows the empirical densities, and cdf s with the Stress-rupture life data set for some models. The second data as used in Afify et al(2016), Eghwerido et al(2019), Eghwerido et al(2020), Nzei et al(2020), Eghwerido et al(2021a), Eghwerido et al(2021b), Eghwerido et al(2021) andZelibe et al(2019) consist of 63 workers at the UK National Physical Laboratory observations of strength of 1.5cm glass fibers in Korkmaz et al(2018), Eghwerido and Agu(2021c) and Smith and Naylor(1987). The results of the test statistics are shown in Table 3.…”

“…Hence, several classical distributions have been modified using the alpha power characterization of Mahdavi and Kundu(2017). For examples, the alpha power Gompertz by Eghwerido et al(2021), Marshall-Olkin Sujatha distribution by Agu and Eghwerido(2021b), alpha power Weibull Frechet by Burton et al(2020), the alpha power inverted exponential by Unal et al(2018), exponentiated Teissier distribution by Sharma et al(2020), Weibull alpha power inverted exponential distribution by Eghwerido et al(2020), alpha power Marshall-Olkin-G by Eghwerido et al(2021b), transmuted alpha power-G by Eghwerido et al(2020b), Gompertz alpha power inverted exponential by Eghwerido et al(2020a), Kumaraswamy Alpha power inverted exponential distribution by Zelibe et al(2019), alpha power Weibull distribution by Nassar et al(2017), alpha power transformed generalized exponential distribution by Nadarajah and Okorie(2017), alpha power shifted exponential by Eghwerido et al(2021d), Marshall-Olkin alpha power family of distributions by Nassar et al(2017a), Topp-Leone Gompertz distribution by Nzei et al(2020), Weibull Frechet distribution by Afify et al(2016), Type 11 Topp-Leone Generalized Power Ishita distribution by Agu et al(2020c), Inverse odd Weibull generated family of distributions by Eghwerido et al(2020c), Zubair Gompertz distribution by Eghwerido et al(2021a), Gompertz extended generalized exponential distribution by Eghwerido et al(2020d), quasi Xgamma-Poisson distribution by Sen et al(2019), Agu-E Distribution by Burton et al(1986), and a two parameter exponential distribution based on progressive type II censored data by Belaghi et al(2015).…”

Bayesian and Classical Inference under Type-II Censored Samples of the Extended Inverse Gompertz Distribution with Engineering Applications

“…It was, historically, introduced by [ 1 ], after which many authors have contributed to its statistical methodology and characterization. Several studies have shown that the Go distribution is not flexible for modeling various phenomena due to it having only an increasing hazard rate (HR) shape, for example, the generalized-Go [ 2 ], beta-Go [ 3 ], transmuted-Go [ 4 ], McDonald-Go [ 5 ], exponentiated generalized Weibull-Go [ 6 ], unit-Go [ 7 ], power-Go [ 8 ], skew reflected-Go [ 9 ], Topp-Leone Go [ 10 ], and alpha-power Go [ 11 ] distributions.…”

A New Technique for Generating Distributions Based on a Combination of Two Techniques: Alpha Power Transformation and Exponentiated T-X Distributions Family

“…In the literature, several studies have applied this technique to introduce some new distributions. These include the study of [12], in which the APT technique was applied to the exponential distribution; the study of [13], which introduced the alpha power Weibull distribution; the study of [14], which introduced the alpha power transformed Lindley distribution; the study of [15], which introduced the alpha power Pareto distribution; the study of [16], which presented the alpha power transformed inverse Lindley distribution; the study of [17], which presented the alpha power Gompertz distribution, and the study of [18], which presented the alpha power transformed log-logistic distribution.…”