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Distribution of the Sum of Truncated Binomial Variates

Published online by Cambridge University Press:  20 November 2018

Henrick John Malik
Henrick John Malik*
Affiliation:
University of Guelph
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Let X be a random variable defined by a Bernoullian probability function

(1)

The probability function of the restricted random variable which is truncated away from zero is then

(2)

The divisor 1 - qN arises from the condition excluding zero.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 3 , June 1969 , pp. 334 - 336
Copyright
Copyright © Canadian Mathematical Society 1969

References

Finney, D.J. (1949). The truncated binomial distribution. Annals of Eugenics, 14, 319–328.Google Scholar
Kendall, M.G. and Stuart, A. (1963). The advanced theory of statistics, Vol. 1 (2nd éd.). (London, Griffin.)Google Scholar