Newtons generalization of the binomial theorem can be used to show that, for any positive integer r,
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Newton’s generalization of the binomial theorem can be used to show that, for any positive integer r,
Use this to derive the negative binomial mgf presented in this section. Then obtain the mean and variance of a negative binomial rv using this mgf.
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Related Book For 
Modern Mathematical Statistics With Applications
ISBN: 9783030551551
3rd Edition
Authors: Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton
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