Beta-Cauchy Distribution: Some Properties and Applications

DOI

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.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - Etaf Alshawarbeh
AU  - Felix Famoye
AU  - Carl Lee
PY  - 2013
DA  - 2013/12/01
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  - 10.2991/jsta.2013.12.4.5
ID  - Alshawarbeh2013
ER  -