Multivariate generalization of the Gauss hypergeometric distribution

Daya K. Nagar; Danilo Bedoya-valencia; Saralees Nadarajah

Research Article

Multivariate generalization of the Gauss hypergeometric distribution

Year 2015, Volume: 44 Issue: 4, 933 - 948, 01.08.2015

Daya K. Nagar Danilo Bedoya-valencia Saralees Nadarajah

Abstract

The Gauss hypergeometric distribution with the density proportional
to xα−1 (1 − x)β−1 (1 + ξx)−γ, 0 < x < 1 arises in connection with the
prior distribution of the parameter ρ (0 < ρ < 1) representing traffic
intensity in a M/M/1 queue system. In this article, we define and study
a multivariate generalization of this distribution and derive some of its
properties like marginal densities, joint moments, and factorizations. A
data application is given.

Keywords

beta function, dirichlet function, gamma function, gauss hypergeometric function, Liouville integral, Multivariate, transformation

References

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Year 2015, Volume: 44 Issue: 4, 933 - 948, 01.08.2015

Daya K. Nagar Danilo Bedoya-valencia Saralees Nadarajah

Abstract

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Statistics
Authors	Daya K. Nagar Danilo Bedoya-valencia This is me Saralees Nadarajah This is me
Publication Date	August 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 4

Cite

APA	Nagar, D. K., Bedoya-valencia, D., & Nadarajah, S. (2015). Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics, 44(4), 933-948.
AMA	Nagar DK, Bedoya-valencia D, Nadarajah S. Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics. August 2015;44(4):933-948.
Chicago	Nagar, Daya K., Danilo Bedoya-valencia, and Saralees Nadarajah. “Multivariate Generalization of the Gauss Hypergeometric Distribution”. Hacettepe Journal of Mathematics and Statistics 44, no. 4 (August 2015): 933-48.
EndNote	Nagar DK, Bedoya-valencia D, Nadarajah S (August 1, 2015) Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics 44 4 933–948.
IEEE	D. K. Nagar, D. Bedoya-valencia, and S. Nadarajah, “Multivariate generalization of the Gauss hypergeometric distribution”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, pp. 933–948, 2015.
ISNAD	Nagar, Daya K. et al. “Multivariate Generalization of the Gauss Hypergeometric Distribution”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 2015), 933-948.
JAMA	Nagar DK, Bedoya-valencia D, Nadarajah S. Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics. 2015;44:933–948.
MLA	Nagar, Daya K. et al. “Multivariate Generalization of the Gauss Hypergeometric Distribution”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 4, 2015, pp. 933-48.
Vancouver	Nagar DK, Bedoya-valencia D, Nadarajah S. Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):933-48.