A discrete distribution is a statistical distribution whose random variable takes values
in a countable set almost
surely. Abramowitz and Stegun (1972, p. 929) give a table of the parameters
of most common discrete distributions.
A discrete distribution with probability mass function
on real values
has distribution
function
for
,
2, ...,
,
and population mean
See also
Bernoulli Distribution,
Binomial Distribution,
Continuous
Distribution,
Geometric Distribution,
Hypergeometric Distribution,
Negative
Binomial Distribution,
Poisson Distribution,
Probability,
Probability
Mass Function,
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." https://www.oocities.org/~mikemclaughlin/math_stat/Dists/Compendium.html.Wimmer,
G. and Altmann, G. Thesaurus
of Univariate Discrete Probability Distributions. Essen, Germany: STAMM,
1999.Referenced on Wolfram|Alpha
Discrete Distribution
Cite this as:
Weisstein, Eric W. "Discrete Distribution."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/DiscreteDistribution.html
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