The generalized Cauchy family of distributions with applications

Ayman Alzaatreh (), Carl Lee, Felix Famoye and Indranil Ghosh
Additional contact information
Ayman Alzaatreh: Nazarbayev University
Carl Lee: Central Michigan University
Felix Famoye: Central Michigan University
Indranil Ghosh: University of North Carolina Wilmington

Journal of Statistical Distributions and Applications, 2016, vol. 3, issue 1, 1-16

Abstract: Abstract A family of generalized Cauchy distributions, T-Cauchy{Y} family, is proposed using the T-R{Y} framework. The family of distributions is generated using the quantile functions of uniform, exponential, log-logistic, logistic, extreme value, and Fréchet distributions. Several general properties of the T-Cauchy{Y} family are studied in detail including moments, mean deviations and Shannon’s entropy. Some members of the T-Cauchy{Y} family are developed and one member, gamma-Cauchy{exponential} distribution, is studied in detail. The distributions in the T-Cauchy{Y} family are very flexible due to their various shapes. The distributions can be symmetric, skewed to the right or skewed to the left.

Keywords: T-R{Y} framework; Quantile function; Moments; Shannon’s entropy (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1186/s40488-016-0050-3 Abstract (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jstada:v:3:y:2016:i:1:d:10.1186_s40488-016-0050-3

Ordering information: This journal article can be ordered from
http://www.springer.com/statistics/journal/40488

DOI: 10.1186/s40488-016-0050-3

Access Statistics for this article

Journal of Statistical Distributions and Applications is currently edited by Felix Famoye and Carl Lee

More articles in Journal of Statistical Distributions and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().