User talk:136.142.163.158

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[edit] the mgf is wrong

The numerator should be pe^t instead of p. The following link can support this http://www.math.tntech.edu/ISR/Introduction_to_Probability/Discrete_Distributions/thispage/newnode10.html

The bottom of that page gives the mgf of negative binomial distribution. I verified it.

WRONG!!! This article has it right, and so does the web page you cited. They're talking about TWO DIFFERENT DISTRIBUTIONS. You did not read carefully. The negative binomial distribution dealt with in this article is supported on the set
{ 0, 1, 2, 3, ... }
whereas the one on the web page you cite is supported on the set
{ r, r + 1, r + 2, .... }
Both articles are clear about this. You need to read more carefully. Michael Hardy 19:55, 13 September 2006 (UTC)