The Cot-X Family of Distributions with Applications

Abstract

Statistical distributions arising from trigonometric functions have populated the literature, and for example, see [1-4]. On the other hand, the T-X(W) family of distributions appeared in [5], and in the special case the random variable T has support [0, ∞), and the weight function is given by ( ) , 1 x W x x = − , we get the so-called Odds T-X family of distributions with the following integral representation for its CDF