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nimble (version 1.2.1)

Exponential: The Exponential Distribution

Description

Density, distribution function, quantile function and random generation for the exponential distribution with rate (i.e., mean of 1/rate) or scale parameterizations.

Usage

dexp_nimble(x, rate = 1/scale, scale = 1, log = FALSE)

rexp_nimble(n = 1, rate = 1/scale, scale = 1)

pexp_nimble(q, rate = 1/scale, scale = 1, lower.tail = TRUE, log.p = FALSE)

qexp_nimble(p, rate = 1/scale, scale = 1, lower.tail = TRUE, log.p = FALSE)

Value

dexp_nimble gives the density, pexp_nimble gives the distribution function, qexp_nimble gives the quantile function, and rexp_nimble

generates random deviates.

Arguments

x

vector of values.

rate

vector of rate values.

scale

vector of 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.

Author

Christopher Paciorek

Details

NIMBLE's exponential distribution functions use Rmath's functions under the hood, but are parameterized to take both rate and scale and to use 'rate' as the core parameterization in C, unlike Rmath, which uses 'scale'. 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

Run this code
x <- rexp_nimble(50, scale = 3)
dexp_nimble(x, scale = 3)

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