Restricted Weighted Integer Compositions and Extended Binomial Coefficients

@inproceedings{Eger2013RestrictedWI,
  title={Restricted Weighted Integer Compositions and Extended Binomial Coefficients},
  author={Steffen Eger},
  year={2013}
}
We prove a simple relationship between extended binomial coefficients — natural extensions of the well-known binomial coefficients — and weighted restricted integer compositions. Moreover, we give a very useful interpretation of extended binomial coefficients as representing distributions of sums of independent discrete random variables. We apply our results, e.g., to determine the distribution of the sum of k logarithmically distributed random variables, and to determining the distribution… CONTINUE READING

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