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 | |
| Publication status | Published - 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
The gamma half-Cauchy distribution : Properties and applications. / Alzaatreh, Ayman; Mansoory, M.; Tahirz, M. H.; Zubair, M.; Ghazalik, Shakir Ali.
In: Hacettepe Journal of Mathematics and Statistics, Vol. 45, No. 4, 2016, p. 1143-1159.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - The gamma half-Cauchy distribution
T2 - Properties and applications
AU - Alzaatreh, Ayman
AU - Mansoory, M.
AU - Tahirz, M. H.
AU - Zubair, M.
AU - Ghazalik, Shakir Ali
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
KW - Folded Cauchy distribution
KW - Gamma distribution
KW - Half-Cauchy distribution
KW - Shannon entropy
UR - http://www.scopus.com/inward/record.url?scp=84988644106&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84988644106&partnerID=8YFLogxK
U2 - 10.15672/HJMS.20157011058
DO - 10.15672/HJMS.20157011058
M3 - Article
VL - 45
SP - 1143
EP - 1159
JO - Hacettepe Journal of Mathematics and Statistics
JF - Hacettepe Journal of Mathematics and Statistics
SN - 1303-5010
IS - 4
ER -