# cdfnor: Cumulative Distribution Function of the Normal Distribution In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

## 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) = Φ((x-μ)/σ) \mbox{,}

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

## Usage

 1 cdfnor(x, para)

## Arguments

 x A real value vector. para The parameters from parnor or vec2par.

## Value

Nonexceedance probability (F) for x.

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.