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

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
Externally published	Yes

Keywords

Exponential family
parameterized distributions
statistics

ASJC Scopus subject areas

Statistics and Probability

Access to Document

10.1080/03610926.2017.1342833

Cite this

@article{11adedddfe704e15a45b57389f96e91c,

title = "The generalized exponential family of distributions and its characteristics",

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.",

keywords = "Exponential family, parameterized distributions, statistics",

author = "Tomer Shushi",

note = "Publisher Copyright: {\textcopyright} 2018 Taylor \& Francis Group, LLC.",

year = "2018",

month = may,

day = "19",

doi = "10.1080/03610926.2017.1342833",

language = "English",

volume = "47",

pages = "2520--2526",

journal = "Communications in Statistics - Theory and Methods",

issn = "0361-0926",

publisher = "Taylor and Francis Ltd.",

number = "10",

}

TY - JOUR

T1 - The generalized exponential family of distributions and its characteristics

AU - Shushi, Tomer

PY - 2018/5/19

Y1 - 2018/5/19

N2 - 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.

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.

KW - Exponential family

KW - parameterized distributions

KW - statistics

UR - https://www.scopus.com/pages/publications/85031094574

U2 - 10.1080/03610926.2017.1342833

DO - 10.1080/03610926.2017.1342833

M3 - Article

AN - SCOPUS:85031094574

SN - 0361-0926

VL - 47

SP - 2520

EP - 2526

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

IS - 10

ER -

The generalized exponential family of distributions and its characteristics

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this