Alpha power transformed extended exponential distribution: properties and applications

Abstract

In this paper, a three-parameter lifetime model motivated by alpha power transformation is considered. We call the proposed distribution as; the alpha power transformed extended exponential (APTEE). The APTEE model contains new recent models as; alpha power transformed exponential and alpha power transformed Lindley distributions. At the same time, it contains classical models as exponential, gamma, and Lindley distributions. The properties of the APTEE distribution are derived. Parameter estimation is accomplished using maximum likelihood, percentiles, and Cramer-von Mises methods. Simulation issues and applications to real data are emphasized.

Alpha Power Transformed Extended Bur II Distribution: Properties and Applications

“…This work focuses on the use of the method developed by [19], called the Alpha Power Transformation (APT) to obtain a new distribution named Alpha Power Extended Bur II (APTEBII) distribution. [20] Studied the properties of Alpha Power extended Exponential distribution, [21] studied the properties of Alpha power transformed generalized exponential distribution. Alpha Power transformed Weibull distribution was investigated by [22].…”

Alpha Power Transformed Inverse Lomax Distribution with Different Methods of Estimation and Applications

“…In the literature, many probability distributions are generalized using this approach; for example, alpha power transformed Weibull (APTW) distribution in [9], APT generalized exponential distribution in [10], APT Lindley distribution in [11], APT extended exponential distribution in [12], alpha power inverted exponential distribution in [13], alpha power Inverse-Weibull distribution in [14], APT inverse-Lindley distribution in [15], APT power Lindley studied in [16], and APT Pareto distribution proposed in [17]. e main goal of this research article is to introduce a simpler and more flexible model called APT inverse Lomax (APTIL) distribution.…”

Alpha Power Transformed Log-Logistic Distribution with Application to Breaking Stress Data

“…In literature, many distributions are generalized using this generated family, for example, the APT Weibull distribution by Dey et al [2], the APT generalized exponential distribution by Dey et al [3], the APT extended exponential distribution by Hassan et al [4], the alpha power inverted exponential distribution by Unal et al [5], the APT inverse-Weibull distribution by Ramadan and Magdy [6], the APT Lindley distribution by Dey et al [7], the APT inverse-Lindley distribution by Dey et al [8], the APT power Lindley studied by Hassan et al [9], and the APT Pareto distribution proposed in Ihtisham et al [10].…”