A statistical distribution whose variables can take on only discrete values. Abramowitz and Stegun (1972, p. 929) give a table of the parameters of most common discrete distributions.
A discrete distribution with probability function 
defined over 
, 2, ..., 
has distribution function
and population mean
See also
Bernoulli Distribution, Binomial Distribution, Continuous Distribution, Geometric Distribution, Hypergeometric Distribution, Negative Binomial Distribution, Poisson Distribution, Probability, Statistical Distribution, Statistics, Uniform Distribution
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References
Abramowitz, M. and Stegun, I. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 927 and 929, 1972.Evans, M.; Hastings, N.; and Peacock, B. Statistical Distributions, 3rd ed. New York: Wiley, 2000.McLaughlin, M. "Common Probability Distributions." http://www.geocities.com/~mikemclaughlin/math_stat/Dists/Compendium.html.Wilmmer, G. and Altmann, G. Thesaurus of Univariate Discrete Probability Distributions. Essen, Germany: STAMM, 1999.
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Cite this as:
Weisstein, Eric W. "Discrete Distribution." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DiscreteDistribution.html