The gamma half-Cauchy distribution: Properties and applications

Ayman Alzaatreh; M. Mansoory; M. H. Tahirz; M. Zubair; Shakir Ali Ghazalik

doi:10.15672/HJMS.20157011058

The gamma half-Cauchy distribution: Properties and applications

Ayman Alzaatreh, M. Mansoory, M. H. Tahirz, M. Zubair, Shakir Ali Ghazalik

Department of Mathematics

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

A new distribution, namely, the Gamma-Half-Cauchy distribution is proposed. Various properties of the Gamma-Half-Cauchy distribution are studied in detail such as limiting behavior, moments, mean deviations and Shannon entropy. The model parameters are estimated by the method of maximum likelihood and the observed information matrix is obtained. Two data sets are used to illustrate the applications of Gamma-Half-Cauchy distribution.

Original language	English
Pages (from-to)	1143-1159
Number of pages	17
Journal	Hacettepe Journal of Mathematics and Statistics
Volume	45
Issue number	4
DOIs	https://doi.org/10.15672/HJMS.20157011058
Publication status	Published - Jan 1 2016

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Keywords

Folded Cauchy distribution
Gamma distribution
Half-Cauchy distribution
Shannon entropy

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Statistics and Probability
Geometry and Topology

Cite this

Alzaatreh, A., Mansoory, M., Tahirz, M. H., Zubair, M., & Ghazalik, S. A. (2016). The gamma half-Cauchy distribution: Properties and applications. Hacettepe Journal of Mathematics and Statistics, 45(4), 1143-1159. https://doi.org/10.15672/HJMS.20157011058

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Access to Document

10.15672/HJMS.20157011058