unidstat

Discrete uniform mean and variance

Syntax

m = unidstat(n)

[m,v] = unidstat(n)

Description

m = unidstat(n) returns the mean for the discrete uniform distribution with the minimum value 1 and maximum value n.

[m,v] = unidstat(n) also returns the variance for the distribution.

Examples

Compute Mean and Variance

Compute the mean and variance of a discrete uniform distribution with the maximum value n.

n = 10;
[mean,variance] = unidstat(n)

mean = 
5.5000

variance = 
8.2500

Input Arguments

n — Maximum value in discrete uniform distribution

positive integer | array of positive integers

Maximum value in the discrete uniform distribution, specified as a positive integer or an array of positive integers.

Data Types: single | double

Output Arguments

m — Mean

numeric scalar | array of numeric scalars

Mean for the discrete uniform distribution, returned as a numeric scalar or an array of numeric scalars. m is the same size as n. Each element in m is the mean of the discrete uniform distribution specified by the corresponding element in n.

The mean of the discrete uniform distribution with parameter n is (n + 1)/2.

v — Variance

numeric scalar | array of numeric scalars

Variance for the discrete uniform distribution, returned as a numeric scalar or an array of numeric scalars. v is the same size as n. Each element in v is the variance of the discrete uniform distribution specified by the corresponding element in n.

The variance of the discrete uniform distribution with parameter n is (n² – 1)/12.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

GPU Arrays

Accelerate code by running on a graphics processing unit (GPU) using Parallel Computing Toolbox™.

This function fully supports GPU arrays. For more information, see Run MATLAB Functions on a GPU (Parallel Computing Toolbox).

Version History

Introduced before R2006a