The Modified Power Series Inverted Exponentiated Generalized Class of Distributions: Statistical Measures, Model Fit, and Characterization

Keywords: exponentiated generalized, power series, characterization theorems, carbon fibers data

Abstract

Within the master thesis [1], the author considered the following random variable \$\$T=X^{-1}-1\$\$ where \$X\$ follows the Kumaraswamy distribution, and obtains a so-called inverted Kumaraswamy distribution, and studies some properties and applications of this class of distributions in the context of the power series family [2]. Within the paper [3], they introduced the exponentiated generalized class of distributions and obtained some properties with applications. Based on these developments we introduce a class of modified power series inverted exponentiated generalized distributions and obtain some of their properties with applications. Some characterization theorems are also presented. Avenues for further research concludes the paper.

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Published
2020-08-23
How to Cite
Ampadu, C. B. (2020). The Modified Power Series Inverted Exponentiated Generalized Class of Distributions: Statistical Measures, Model Fit, and Characterization. Earthline Journal of Mathematical Sciences, 5(1), 121-154. https://doi.org/10.34198/ejms.5121.121154
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