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

.

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

Daya K. Nagar , Danilo Bedoya-valencia Saralees Nadarajah

Abstract

References

.

There are 1 citations in total.

Details

Primary Language	English
Subjects	Statistics
Journal Section	Research Article
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. https://izlik.org/JA87PD82TB
AMA	1.Nagar DK, Bedoya-valencia D, Nadarajah S. Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):933-948. https://izlik.org/JA87PD82TB
Chicago	Nagar, Daya K., Danilo Bedoya-valencia, and Saralees Nadarajah. 2015. “Multivariate Generalization of the Gauss Hypergeometric Distribution”. Hacettepe Journal of Mathematics and Statistics 44 (4): 933-48. https://izlik.org/JA87PD82TB.
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	[1]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, Aug. 2015, [Online]. Available: https://izlik.org/JA87PD82TB
ISNAD	Nagar, Daya K. - Bedoya-valencia, Danilo - Nadarajah, Saralees. “Multivariate Generalization of the Gauss Hypergeometric Distribution”. Hacettepe Journal of Mathematics and Statistics 44/4 (August 1, 2015): 933-948. https://izlik.org/JA87PD82TB.
JAMA	1.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, Aug. 2015, pp. 933-48, https://izlik.org/JA87PD82TB.
Vancouver	1.Nagar DK, Bedoya-valencia D, Nadarajah S. Multivariate generalization of the Gauss hypergeometric distribution. Hacettepe Journal of Mathematics and Statistics [Internet]. 2015 Aug. 1;44(4):933-48. Available from: https://izlik.org/JA87PD82TB