Research Article

The gamma half-Cauchy distribution: properties and applications

Volume: 45 Number: 4 August 1, 2016
EN

The gamma half-Cauchy distribution: properties and applications

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

References

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Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Ayman Alzaatreh This is me

M. Zubair This is me

Shakir Ali Ghazali This is me

Publication Date

August 1, 2016

Submission Date

December 8, 2014

Acceptance Date

June 5, 2015

Published in Issue

Year 2016 Volume: 45 Number: 4

APA
Alzaatreh, A., Mansoor, M., Tahir, M., Zubair, M., & Ghazali, S. A. (2016). The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics, 45(4), 1143-1159. https://izlik.org/JA62PZ76CZ
AMA
1.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):1143-1159. https://izlik.org/JA62PZ76CZ
Chicago
Alzaatreh, Ayman, M. Mansoor, M.h. Tahir, M. Zubair, and Shakir Ali Ghazali. 2016. “The Gamma Half-Cauchy Distribution: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 45 (4): 1143-59. https://izlik.org/JA62PZ76CZ.
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
[1]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, Aug. 2016, [Online]. Available: https://izlik.org/JA62PZ76CZ
ISNAD
Alzaatreh, Ayman - Mansoor, M. - Tahir, M.h. - Zubair, M. - Ghazali, Shakir Ali. “The Gamma Half-Cauchy Distribution: Properties and Applications”. Hacettepe Journal of Mathematics and Statistics 45/4 (August 1, 2016): 1143-1159. https://izlik.org/JA62PZ76CZ.
JAMA
1.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, Aug. 2016, pp. 1143-59, https://izlik.org/JA62PZ76CZ.
Vancouver
1.Ayman Alzaatreh, M. Mansoor, M.h. Tahir, M. Zubair, Shakir Ali Ghazali. The gamma half-Cauchy distribution: properties and applications. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Aug. 1;45(4):1143-59. Available from: https://izlik.org/JA62PZ76CZ