The generalized exponential family of distributions and its characteristics

Tomer Shushi

doi:10.1080/03610926.2017.1342833

The generalized exponential family of distributions and its characteristics

Tomer Shushi

Actuarial Research Center (ARC)

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we generalize the exponential family (EF) of distributions into a wider family which includes important distributions such as the normal, log-normal, Student-t, Cauchy, logistic and Birnbaum–Saunders distributions. Furthermore, we derive several characteristics of the proposed family. The importance of such family is also discussed.

Original language	English
Pages (from-to)	2520-2526
Number of pages	7
Journal	Communications in Statistics - Theory and Methods
Volume	47
Issue number	10
DOIs	https://doi.org/10.1080/03610926.2017.1342833
State	Published - 19 May 2018

Bibliographical note

Publisher Copyright:
© 2018 Taylor & Francis Group, LLC.

Keywords

Exponential family
parameterized distributions
statistics

ASJC Scopus subject areas

Statistics and Probability

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10.1080/03610926.2017.1342833

Cite this

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AB - In this paper we generalize the exponential family (EF) of distributions into a wider family which includes important distributions such as the normal, log-normal, Student-t, Cauchy, logistic and Birnbaum–Saunders distributions. Furthermore, we derive several characteristics of the proposed family. The importance of such family is also discussed.

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The generalized exponential family of distributions and its characteristics

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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