The Ampadu-G Family of Distributions with Application to the T − X (W) Class of Distributions

The T − X (W)family of distributions appeared in [1]. In this paper, inspired by the structure of the CDF in the Zubair-G class of distributions [2], we introduce a new family of distributions called the Ampadu-G class of distributions, and use it to obtain a new class of distributions which we will call the A_T − X (W) class of distributions, as a further application of the T − X (W)framework. Sub-models of the Ampadu-G class of distributions and the A_T − X (W) class of distributions are shown to be practically significant in modeling real-life data. The Ampadu-G class of distributions is seen to be strikingly similar in structure to the Exponentiated EP (EEP) model contained in [3], and the Zubair-G class of distributions is seen to be strikingly similar in structure to the Complementary exponentiated Weibull-Poisson (CEWP) model contained in [4].

Keywords:Zubair-G; T − X (W)family of distributions; Ampadu-G