Some Structural Properties of the Generalized Kumaraswamy (GKw) $q_T-X$ Class of Distributions
Abstract
Ampadu [C. B. Ampadu, Quantile-generated family of distributions : a new method for generating continuous distributions, Fundamental Journal of Mathematics and Mathematical Sciences 9(1) (2018), 13-34] introduced quantile generated probability distributions as a new way to generate continuous distributions. Combining this idea with the two-parameter Kumaraswamy (Kw) distribution, for example, see Wikipedia contributors [Wikipedia contributors, Kumaraswamy distribution, In : Wikipedia, The Free Encyclopedia, June 26, 2017. Retrieved 13:38, November 28, 2018, from https://en.wikipedia.org/wiki/Kumaraswamy_distribution], this paper introduces a so-called (GKw) $q_T-X$ class of distributions, and obtains some of their structural properties. Practicality of sub-models of this new class of distributions is shown to be effective in modeling real life data. Practicality to various disciplines is proposed as further investigation. A bivariate extension of this new class of distribution is also proposed, and the reader is asked to investigate its properties and applications.
References
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