Open Access Review Article

The Ampadu APT − qT − X Family of Distributions Induced by V with an Illustration to Data in the Health Sciences

Clement Boateng Ampadu*

Department of Mathematics, USA

Corresponding Author

Received Date: March 05, 2019;  Published Date: March 26, 2019

Abstract

The alpha power transform family of distributions ( APT −G for short) appeared in [1], and since then variants of it has been proposed, and for example, see [2]. In this paper we propose another variant of the APT −G family of distributions called the Ampadu APT −G family of distributions. Assuming G is given by the CDF of qT − X family of distributions induced by V , and for example, see [3] and [4], we show sub-models of the Ampadu APT − qT − X (V) family of distributions is significant in modeling data in the health sciences, in particular, the breast cancer patients data contained in [5]. As a further development of the APT −G family of distributions, we propose a so-called power transform family of distributions ( PT-G for short).

Keywords: Alpha power transform; Ampadu-G; Quantile generated family of distributions

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