Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30075
A Note on Negative Hypergeometric Distribution and Its Approximation

Authors: S. B. Mansuri


In this paper, at first we explain about negative hypergeometric distribution and its properties. Then we use the w-function and the Stein identity to give a result on the poisson approximation to the negative hypergeometric distribution in terms of the total variation distance between the negative hypergeometric and poisson distributions and its upper bound.

Keywords: Negative hypergeometric distribution, Poisson distribution, Poisson approximation, Stein-Chen identity, w-function.

Digital Object Identifier (DOI):

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 2664


[1] A.D. Barbour, G.K. Eagleson, Poisson Approximation for Some Statistics Based on Exchangeable Trials. Adv. Appl. Probab. 15 (1983), 360-385.
[2] A.D. Barbour, L.Hoslt, S. Janson, Poisson Approximation. Oxford Studies in Probability 2, Clarendon Press, Oxford, 1992.
[3] Boonta, K. Neammanee, Bonds on Random Infinite Urn Model. Bull, Malays. Math. Sci. Soc., 30(2007),121- 128.
[4] T. Cacoullos, V. Papathanasiou, Characterization of Distributions by Variance Bounds. Statist. Probab. Lett., 7 (1989), 351-356.
[5] M. Majsnerowska, A Note on Poisson Approximation by w-function. Appl. Math. 25, 3 (1998), 387-392.
[6] K. Teerapabolarn, On the Poisson Approximation to the Negative Hypergeometric Distribution, Int. Math. Fourm, (2000), 1-8.