Laplace {extraDistr} | R Documentation |
Laplace distribution
Description
Density, distribution function, quantile function and random generation for the Laplace distribution.
Usage
dlaplace(x, mu = 0, sigma = 1, log = FALSE)
plaplace(q, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE)
qlaplace(p, mu = 0, sigma = 1, lower.tail = TRUE, log.p = FALSE)
rlaplace(n, mu = 0, sigma = 1)
Arguments
x , q |
vector of quantiles. |
mu , sigma |
location and scale parameters. Scale must be positive. |
log , log.p |
logical; if TRUE, probabilities p are given as log(p). |
lower.tail |
logical; if TRUE (default), probabilities are |
p |
vector of probabilities. |
n |
number of observations. If |
Details
Probability density function
Cumulative distribution function
Quantile function
References
Krishnamoorthy, K. (2006). Handbook of Statistical Distributions with Applications. Chapman & Hall/CRC
Forbes, C., Evans, M. Hastings, N., & Peacock, B. (2011). Statistical Distributions. John Wiley & Sons.
Examples
x <- rlaplace(1e5, 5, 16)
hist(x, 100, freq = FALSE)
curve(dlaplace(x, 5, 16), -200, 200, n = 500, col = "red", add = TRUE)
hist(plaplace(x, 5, 16))
plot(ecdf(x))
curve(plaplace(x, 5, 16), -200, 200, n = 500, col = "red", lwd = 2, add = TRUE)
[Package extraDistr version 1.10.0 Index]