# qlaplace: Laplace (Double Exponential) Quantile Function In jmuOutlier: Permutation Tests for Nonparametric Statistics

## Description

Laplace (double exponential) quantile function with mean equal to `mean` and standard deviation equal to `sd`.

## Usage

 `1` ```qlaplace(p, mean = 0, sd = 1, lower.tail = TRUE) ```

## Arguments

 `p` Vector of probabilities. `mean` Population mean. `sd` Population standard deviation. `lower.tail` Logical; if `TRUE` (default), probabilities are P[X ≤ x]; otherwise, P[X > x].

## Details

The Laplace distribution has density e^{-|x-μ| √{2} / σ} / (σ √{2}), where μ is the mean of the distribution and σ is the standard deviation.

## Value

`qlaplace` gives the quantile function.

## Note

The formulas computed within `qlaplace` are based on the textbook by Higgins (2004).

## Author(s)

Steven T. Garren, James Madison University, Harrisonburg, Virginia, USA

## References

Higgins, J. J. (2004) Introduction to Modern Nonparametric Statistics.

`dlaplace`, `plaplace`, and `rlaplace`.

## Examples

 ```1 2 3``` ```# 5th, 15th, 25th, ..., 95th percentiles from a Laplace( 50, 10 ) distribution. qlaplace( seq( 0.05, 0.95, length.out=11 ), 50, 10 ) ```

### Example output

```  33.71826 40.99877 44.50911 46.84427 48.59674 50.00000 51.40326 53.15573
 55.49089 59.00123 66.28174
```

jmuOutlier documentation built on Aug. 6, 2019, 1:03 a.m.