Journal of Statistical Theory and Applications

Volume 12, Issue 4, December 2013, Pages 378 - 391

Beta-Cauchy Distribution: Some Properties and Applications

Authors
Etaf Alshawarbeh, Felix Famoye, Carl Lee
Corresponding Author
Etaf Alshawarbeh
Available Online 1 December 2013.
DOI
https://doi.org/10.2991/jsta.2013.12.4.5How to use a DOI?
Keywords
Beta family, mean deviation, entropy, maximum likelihood estimation
Abstract
Some properties of the four-parameter beta-Cauchy distribution such as the mean deviation and Shannon’s entropy are obtained. The method of maximum likelihood is proposed to estimate the parameters of the distribution. A simulation study is carried out to assess the performance of the maximum likelihood estimates. The usefulness of the new distribution is illustrated by applying it to three empirical data sets and comparing the results to some existing distributions. The beta-Cauchy distribution is found to provide great flexibility in modeling symmetric and skewed heavy-tailed data sets.
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Journal
Journal of Statistical Theory and Applications
Volume-Issue
12 - 4
Pages
378 - 391
Publication Date
2013/12
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
https://doi.org/10.2991/jsta.2013.12.4.5How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Etaf Alshawarbeh
AU  - Felix Famoye
AU  - Carl Lee
PY  - 2013
DA  - 2013/12
TI  - Beta-Cauchy Distribution: Some Properties and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 378
EP  - 391
VL  - 12
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.2013.12.4.5
DO  - https://doi.org/10.2991/jsta.2013.12.4.5
ID  - Alshawarbeh2013
ER  -