nimble (version 0.7.0)

Double-Exponential: The Double Exponential (Laplace) Distribution

Description

Density, distribution function, quantile function and random generation for the double exponential distribution, allowing non-zero location, mu, and non-unit scale, sigma, or non-unit rate, tau

Usage

ddexp(x, location = 0, scale = 1, rate = 1/scale, log = FALSE)
rdexp(n, location = 0, scale = 1, rate = 1/scale)
pdexp(q, location = 0, scale = 1, rate = 1/scale, lower.tail = TRUE,
  log.p = FALSE)
qdexp(p, location = 0, scale = 1, rate = 1/scale, lower.tail = TRUE,
  log.p = FALSE)

Arguments

x

vector of values.

location

vector of location values.

scale

vector of scale values.

rate

vector of inverse scale values.

log

logical; if TRUE, probability density is returned on the log scale.

n

number of observations.

q

vector of quantiles.

lower.tail

logical; if TRUE (default) probabilities are \(P[X \le x]\); otherwise, \(P[X > x]\).

log.p

logical; if TRUE, probabilities p are given by user as log(p).

p

vector of probabilities.

Value

ddexp gives the density, pdexp gives the distribution function, qdexp gives the quantile function, and rdexp generates random deviates.

Details

See Gelman et al., Appendix A or the BUGS manual for mathematical details.

References

Gelman, A., Carlin, J.B., Stern, H.S., and Rubin, D.B. (2004) Bayesian Data Analysis, 2nd ed. Chapman and Hall/CRC.

See Also

Distributions for other standard distributions

Examples

# NOT RUN {
x <- rdexp(50, location = 2, scale = 1)
ddexp(x, 2, 1)
# }