cdfexp: Exponential distribution

In lmom: L-Moments

Exponential distribution

Description

Distribution function and quantile function of the exponential distribution.

Usage

cdfexp(x, para = c(0, 1))
quaexp(f, para = c(0, 1))

Arguments

x	Vector of quantiles.
f	Vector of probabilities.
para	Numeric vector containing the parameters of the distribution, in the order \xi, \alpha (location, scale).

Details

The exponential distribution with parameters \xi (lower bound) and \alpha (mean) has distribution function

F(x)=1-\exp\lbrace-(x-\xi)/\alpha\rbrace

for x\ge0, and quantile function

x(F)=\xi-\alpha\log(1-F).

Value

cdfexp gives the distribution function; quaexp gives the quantile function.

Note

The functions expect the distribution parameters in a vector, rather than as separate arguments as in the standard R functions pexp and qexp.

See Also

pexp for the standard R version of the exponential distribution. cdfgam for the gamma distribution, cdfgpa for the generalized Pareto distribution, cdfkap for the kappa distribution, cdfpe3 for the Pearson type III distribution, and cdfwak for the Wakeby distribution, all of which generalize the exponential distribution.

Examples

# Random sample from the exponential distribution
# with lower bound 0 and mean 3.
quaexp(runif(100), c(0,3))

lmom documentation built on Oct. 1, 2024, 1:08 a.m.