lmomco (version 2.3.1)

cdfexp: Cumulative Distribution Function of the Exponential Distribution

Description

This function computes the cumulative probability or nonexceedance probability of the Exponential distribution given parameters (\(\xi\) and \(\alpha\) computed by parexp. The cumulative distribution function is $$F(x) = 1 - \exp(Y)\mbox{,}$$ where \(Y\) is $$\frac{-(x - \xi)}{\alpha}\mbox{,}$$ where \(F(x)\) is the nonexceedance probability for the quantile \(x\), \(\xi\) is a location parameter, and \(\alpha\) is a scale parameter.

Usage

cdfexp(x, para)

Arguments

x

A real value vector.

para

The parameters from parexp or vec2par.

Value

Nonexceedance probability (\(F\)) for \(x\).

References

Hosking, J.R.M., 1990, L-moments---Analysis and estimation of distributions using linear combinations of order statistics: Journal of the Royal Statistical Society, Series B, v. 52, p. 105--124.

Hosking, J.R.M., 1996, FORTRAN routines for use with the method of L-moments: Version 3, IBM Research Report RC20525, T.J. Watson Research Center, Yorktown Heights, New York.

Hosking, J.R.M., and Wallis, J.R., 1997, Regional frequency analysis---An approach based on L-moments: Cambridge University Press.

See Also

pdfexp, quaexp, lmomexp, parexp

Examples

# NOT RUN {
  lmr <- lmoms(c(123,34,4,654,37,78))
  cdfexp(50,parexp(lmr))
# }