## RANDNCHI Generate Noncentral Chi-Square Random Variable

Section: Random Number Generation

### Usage

Generates a vector of non-central chi-square random variables with the given number of degrees of freedom and the given non-centrality parameters. The general syntax for its use isy = randnchi(n,mu)

where `n`

is an array containing the degrees of freedom for
each generated random variable (with each element of `n`

>= 1),
and `mu`

is the non-centrality shift (must be positive).

### Function Internals

A non-central chi-square random variable is the sum of a chisquare deviate with`n-1`

degrees of freedom plus the square of a normal
deviate with mean `mu`

and standard deviation 1.
### Examples

Here is an example of a non-central chi-square random variable:--> randnchi(5*ones(1,9),0.3) ans = Columns 1 to 8 1.7097 6.6003 14.1463 2.0817 4.4984 5.3132 3.1775 3.5291 Columns 9 to 9 5.5185