On the exact convolution of discrete random variables

We present two expressions for the exact density function for the sum of independent discrete random variables. Application to binomial random variables is illustrated. Evaluation of the exact density is practical on the personal computer. Extension to other discrete random variables is straightforw...

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Bibliographic Details
Published in:Applied mathematics and computation 1997-04, Vol.83 (1), p.69-77
Main Authors: Arthur Woodward, J., Palmer, Christina G.S.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Geometric probability. Stochastic geometry. Random sets
Mathematics
Probability and statistics
Probability theory and stochastic processes
Sciences and techniques of general use
Stochastic processes
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Summary:We present two expressions for the exact density function for the sum of independent discrete random variables. Application to binomial random variables is illustrated. Evaluation of the exact density is practical on the personal computer. Extension to other discrete random variables is straightforward.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(96)00047-1