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discrete uniform

Probability mass function n=5 where n=b-a+1
Cumulative distribution function n=5 where n=b-a+1. The convention is used that the cumulative mass function is the probability that
Parameters
Support
Template:Probability distribution/link mass
cdf
Mean
Median
Mode	N/A
Variance
Skewness
Kurtosis
Entropy
mgf
Char. func.

In probability theory and statistics, the discrete uniform distribution is a discrete probability distribution that can be characterized by saying that all values of a finite set of possible values are equally probable.

A random variable that has any of possible values that are equally probable, has a discrete uniform distribution, then the probability of any outcome   is . A simple example of the discrete uniform distribution is throwing a fair die. The possible values of are 1, 2, 3, 4, 5, 6; and each time the die is thrown, the probability of a given score is 1/6.

In case the values of a random variable with a discrete uniform distribution are real, it is possible to express the cumulative distribution function in terms of the degenerate distribution; thus

where the Heaviside step function is the CDF of the degenerate distribution centered at . This assumes that consistent conventions are used at the transition points.

See rencontres numbers for an account of the probability distribution of the number of fixed points of a uniformly distributed random permutation.de:Diskrete Gleichverteilungnl:Discrete uniforme verdeling fr:loi uniforme discrète

This page uses content from the English-language version of Wikipedia. The original article was at Uniform distribution (discrete). The list of authors can be seen in the page history. As with Psychology Wiki, the text of Wikipedia is available under the GNU Free Documentation License.