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Distribution


The word "distribution" has a variety of disparate meanings in different areas of mahematics.

A statistical distribution of a variable is a description of the relative numbers of times each possible outcome will occur in a number of trials. Similarly, a distribution function D(x), also called the cumulative distribution function (CDF) or cumulative frequency function, describes the probability that a variate X takes on a value less than or equal to a number x.

In differential geometry, the distribution parameter of a noncylindrical ruled surface is a particular function of the surface's striction curve and director curve.

In functional analysis, a distribution (also called a generalized function or ideal function), is the class of all regular sequences of particularly well-behaved functions equivalent to a given regular sequence.


See also

Distribution Function, Distribution Parameter, Generalized Function, Statistical Distribution

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Cite this as:

Weisstein, Eric W. "Distribution." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Distribution.html