Document Type

Article

Publication Date

6-1-2022

Publication Title

Mathematics

Volume

10

Issue

11

First page number:

1

Last page number:

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

Disciplines

Mathematics

File Format

pdf

File Size

1181 KB

Language

English

Rights

IN COPYRIGHT. For more information about this rights statement, please visit http://rightsstatements.org/vocab/InC/1.0/

Creative Commons License

Creative Commons Attribution 4.0 License
This work is licensed under a Creative Commons Attribution 4.0 License.

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