The gamma half-Cauchy distribution: properties and applications

Ayman Alzaatreh; M. Mansoor; M.h. Tahir; M. Zubair; Shakir Ali Ghazali

Research Article

The gamma half-Cauchy distribution: properties and applications

Year 2016, Volume: 45 Issue: 4, 1143 - 1159, 01.08.2016

Ayman Alzaatreh M. Mansoor , M.h. Tahir , M. Zubair Shakir Ali Ghazali

Abstract

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

Keywords

Folded Cauchy distribution, half-Cauchy distribution, gamma dis- tribution, Shannon entropy

References

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Year 2016, Volume: 45 Issue: 4, 1143 - 1159, 01.08.2016

Ayman Alzaatreh M. Mansoor , M.h. Tahir , M. Zubair Shakir Ali Ghazali

Abstract

References

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There are 2 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Statistics
Authors	Ayman Alzaatreh This is me M. Mansoor M.h. Tahir M. Zubair This is me Shakir Ali Ghazali This is me
Publication Date	August 1, 2016
Published in Issue	Year 2016 Volume: 45 Issue: 4

Cite

APA	Alzaatreh, A., Mansoor, M., Tahir, M., Zubair, M., et al. (2016). The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics, 45(4), 1143-1159.
AMA	Alzaatreh A, Mansoor M, Tahir M, Zubair M, Ghazali SA. The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics. August 2016;45(4):1143-1159.
Chicago	Alzaatreh, Ayman, M. Mansoor, M.h. Tahir, M. Zubair, and Shakir Ali Ghazali. “The Gamma Half-Cauchy Distribution: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 45, no. 4 (August 2016): 1143-59.
EndNote	Alzaatreh A, Mansoor M, Tahir M, Zubair M, Ghazali SA (August 1, 2016) The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics 45 4 1143–1159.
IEEE	A. Alzaatreh, M. Mansoor, M. Tahir, M. Zubair, and S. A. Ghazali, “The gamma half-Cauchy distribution: properties and applications”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, pp. 1143–1159, 2016.
ISNAD	Alzaatreh, Ayman et al. “The Gamma Half-Cauchy Distribution: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 45/4 (August 2016), 1143-1159.
JAMA	Alzaatreh A, Mansoor M, Tahir M, Zubair M, Ghazali SA. The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45:1143–1159.
MLA	Alzaatreh, Ayman et al. “The Gamma Half-Cauchy Distribution: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 4, 2016, pp. 1143-59.
Vancouver	Alzaatreh A, Mansoor M, Tahir M, Zubair M, Ghazali SA. The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics. 2016;45(4):1143-59.