A Generalized Family of Exponentiated Composite Distributions

Bowen Liu and Malwane M. A. Ananda
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Bowen Liu: Department of Mathematical Sciences, University of Nevada, Las Vegas, NV 89154, USA
Malwane M. A. Ananda: Department of Mathematical Sciences, University of Nevada, Las Vegas, NV 89154, USA

Mathematics, 2022, vol. 10, issue 11, 1-18

Abstract: In this paper, we propose a new family of distributions, by exponentiating the random variables associated with the probability density functions of composite distributions. We also derive some mathematical properties of this new family of distributions, including the moments and the limited moments. Specifically, two special models in this family are discussed. Three real datasets were chosen, to assess the performance of these two special exponentiated-composite models. When fitting to these three datasets, these three special exponentiated-composite distributions demonstrate significantly better performance, compared to the original composite distributions.

Keywords: composite models; goodness-of-fit; IG distribution; Weibull distribution; Pareto distribution; exponential distributions; exponentiated models (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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