# Documentation

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# nctrnd

Noncentral t random numbers

## Syntax

```R = nctrnd(V,DELTA) R = nctrnd(V,DELTA,m,n,...) R = nctrnd(V,DELTA,[m,n,...]) ```

## Description

`R = nctrnd(V,DELTA)` returns a matrix of random numbers chosen from the noncentral T distribution using the corresponding degrees of freedom in `V` and noncentrality parameters in `DELTA`. `V` and `DELTA` can be vectors, matrices, or multidimensional arrays. A scalar input for `V` or `DELTA` is expanded to a constant array with the same dimensions as the other input.

`R = nctrnd(V,DELTA,m,n,...)` or ```R = nctrnd(V,DELTA,[m,n,...])``` generates an `m`-by-`n`-by-... array. The `V`, `DELTA` parameters can each be scalars or arrays of the same size as `R`.

## Examples

```nctrnd(10,1,5,1) ans = 1.6576 1.0617 1.4491 0.2930 3.6297```

## References

[1] Evans, M., N. Hastings, and B. Peacock. Statistical Distributions. 2nd ed., Hoboken, NJ: John Wiley & Sons, Inc., 1993, pp. 147–148.

[2] Johnson, N., and S. Kotz. Distributions in Statistics: Continuous Univariate Distributions-2. Hoboken, NJ: John Wiley & Sons, Inc., 1970, pp. 201–219.