A Note on Negative Hypergeometric Distribution and Its Approximation

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.

Authors:

• S. B. Mansuri

Keywords:

• Negative hypergeometric distribution
• Poisson distribution
• Poisson approximation
• Stein-Chen identity
• w-function.

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