# unifinv

Continuous uniform inverse cumulative distribution function

## Syntax

```X = unifinv(P,A,B) ```

## Description

`X = unifinv(P,A,B)` computes the inverse of the uniform cdf with parameters `A` and `B` (the minimum and maximum values, respectively) at the corresponding probabilities in `P`. `P`, `A`, and `B` can be vectors, matrices, or multidimensional arrays that all have the same size. A scalar input is expanded to a constant array with the same dimensions as the other inputs.

The inverse of the uniform cdf is

`$x={F}^{-1}\left(p|a,b\right)=a+p\left(a-b\right){I}_{\left[0,1\right]}\left(p\right)$`

The standard uniform distribution has A = `0` and B = `1`.

## Examples

What is the median of the standard uniform distribution?

```median_value = unifinv(0.5) median_value = 0.5000```

What is the 99th percentile of the uniform distribution between -1 and 1?

```percentile = unifinv(0.99,-1,1) percentile = 0.9800```