Documentation

unidcdf

Discrete uniform cumulative distribution function

Syntax

p = unidcdf(x,N)
p = unidcdf(x,N,'upper')

Description

p = unidcdf(x,N) returns the discrete uniform cdf at each value in x using the corresponding maximum observable value in N. x and N can be vectors, matrices, or multidimensional arrays that have the same size. A scalar input is expanded to a constant array with the same dimensions as the other inputs. The maximum observable values in N must be positive integers.

p = unidcdf(x,N,'upper') returns the complement of the discrete uniform cdf at each value in x, using an algorithm that more accurately computes the extreme upper tail probabilities.

The discrete uniform cdf is

p=F(x|N)=floor(x)NI(1,...,N)(x)

The result, p, is the probability that a single observation from the discrete uniform distribution with maximum N will be a positive integer less than or equal to x. The values x do not need to be integers.

Examples

expand all

Compute Discrete Uniform Distribution cdf

What is the probability of drawing a number 20 or less from a hat with the numbers from 1 to 50 inside?

probability = unidcdf(20,50)
probability =
  0.4000

See Also

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