Advancements in Multivariate Distribution Modeling: Introducing the Multivariate Kumaraswamy Exponential Pareto distribution (MKEPD) Framework

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DOI: https://doi.org/10.28924/2291-8639-23-2025-48
Published: Feb 21, 2025
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Abdullah Ali H. Ahmadini, Advancements in Multivariate Distribution Modeling: Introducing the Multivariate Kumaraswamy Exponential Pareto distribution (MKEPD) Framework, Int. J. Anal. Appl., 23 (2025), 48.

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Abdullah Ali H. Ahmadini

Abstract

This study aims to formulate a new probability distribution, called the Kumaraswamy Exponential Pareto distribution (KEPD), from the Exponential Pareto distribution (EP). This distribution was designed to be suitable for fitting real-life data by utilizing the Kumaraswamy family to create a novel continuous probability distribution approach. This study derived some properties of this new distribution and conducted a simulation study using different parameter combinations. The results of the simulation study demonstrated the impact of additional parameters on the suggested distribution. In real-life data applications, the suggested distribution exhibits a better fit than the existing Kumaraswamy Exponentiated Pareto Distribution (KEPD), Exponential Pareto Distribution (EP), and Exponential Distribution (Exp).

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