rmutil (version 1.1.4)

Laplace: Laplace Distribution

Description

These functions provide information about the Laplace distribution with location parameter equal to m and dispersion equal to s: density, cumulative distribution, quantiles, log hazard, and random generation.

The Laplace distribution has density $$ f(y) = \frac{\exp(-abs(y-\mu)/\sigma)}{(2\sigma)}$$ where \(\mu\) is the location parameter of the distribution and \(\sigma\) is the dispersion.

Usage

dlaplace(y, m=0, s=1, log=FALSE)
plaplace(q, m=0, s=1)
qlaplace(p, m=0, s=1)
rlaplace(n=1, m=0, s=1)

Arguments

y

vector of responses.

q

vector of quantiles.

p

vector of probabilities

n

number of values to generate

m

vector of location parameters.

s

vector of dispersion parameters.

log

if TRUE, log probabilities are supplied.

See Also

dexp for the exponential distribution and dcauchy for the Cauchy distribution.

Examples

# NOT RUN {
dlaplace(5, 2, 1)
plaplace(5, 2, 1)
qlaplace(0.95, 2, 1)
rlaplace(10, 2, 1)
# }