jmuOutlier (version 2.2)

qlaplace: Laplace (Double Exponential) Quantile Function

Description

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

Usage

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 \(P[X \le x]\); otherwise, \(P[X > x]\).

Value

qlaplace gives the quantile function.

Details

The Laplace distribution has density \(e^{-|x-\mu| \sqrt{2} / \sigma} / (\sigma \sqrt{2}),\) where \(\mu\) is the mean of the distribution and \(\sigma\) is the standard deviation.

References

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

See Also

dlaplace, plaplace, and rlaplace.

Examples

# NOT RUN {
# 5th, 15th, 25th, ..., 95th percentiles from a Laplace( 50, 10 ) distribution.

qlaplace( seq( 0.05, 0.95, length.out=11 ), 50, 10 )
# }