cdfnor {lmomco}

Cumulative Distribution Function of the Normal Distribution

Description

This function computes the cumulative probability or nonexceedance probability of the Normal distribution given parameters of the distribution computed by parnor. The cumulative distribution function is

F(x) = \Phi((x-\mu)/\sigma) \mbox{,}

where F(x) is the nonexceedance probability for quantile x, \mu is the arithmetic mean, and \sigma is the standard deviation, and \Phi is the cumulative distribution function of the Standard Normal distribution, and thus the R function pnorm is used.

Usage

cdfnor(x, para)

Arguments

x

A real value vector.

para

The parameters from parnor or vec2par.

Value

Nonexceedance probability (F) for x.

Author(s)

W.H. Asquith

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, pp. 105–124.

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

See Also

pdfnor, quanor, lmomnor, parnor

Examples

  lmr <- lmoms(c(123,34,4,654,37,78))
  cdfnor(50,parnor(lmr))