Sums of random variables having the modified geometric distribution by application to two-person games

@inproceedings{Phillips1978SumsOR,
  title={Sums of random variables having the modified geometric distribution by application to two-person games},
  author={Michael J. Phillips},
  year={1978}
}
The distribution of a fixed sum of independent and identically distributed random variables with the modified geometric distribution is the same as the distribution obtained by the compounding by a binomial distribution of either a negative binomial distribution or a Pascal distribution. This result can be used to obtain three summations for the game score probabilities of a two-person game, and leads to the consideration of various ways of dividing up the trials of the game. The game score… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-4 OF 4 CITATIONS