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2017•Unpublished venueRequires access

A new family of distributions based on the hypoexponential distribution with applications

Christophe Chesneau

Open publisher page 1 citations

Abstract

In this paper, a new general family of distributions using the hypoexponential distribution is introduced and studied. From this family, we focus our attention on a new weighted exponential distribution. Some of their mathematical properties are provided. We investigate maximum likelihood estimation of the model parameters. Three real data sets are used to prove the potential of this distribution among some recent extensions of the exponential distribution.

About this research paper

What this paper is about

In this paper, a new general family of distributions using the hypoexponential distribution is introduced and studied. From this family, we focus our attention on a new weighted exponential distribution. Some of their mathematical properties are provided. We investigate maximum likelihood estimation of the model parameters. Three real data sets are used to prove the potential of this distribution among some recent extensions of the exponential distribution.

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OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

In this paper, a new general family of distributions using the hypoexponential distribution is introduced and studied. From this family, we focus our attention on a new weighted exponential distribution. Some of their mathematical properties are provided. We investigate maximum likelihood estimation of the model parameters. Three real data sets are used to prove the potential of this distribution among some recent extensions of the exponential distribution.

Key concepts: Exponential family, Natural exponential family, Exponential distribution, Mathematics, Maximum likelihood, Distribution (mathematics), Focus (optics), Applied mathematics

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