# pdfnor: Probability Density 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 probability density function of the Normal distribution given parameters computed by parnor. The probability density function is

f(x) = \frac{1}{σ √{2π}} \exp\!≤ft(\frac{-(x-μ)^2}{2σ^2}\right) \mbox{,}

where f(x) is the probability density for quantile x, μ is the arithmetic mean, and σ is the standard deviation. The R function pnorm is used.

## Usage

 1 pdfnor(x, para) 

## Arguments

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

## Value

Probability density (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., 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.

cdfnor, quanor, lmomnor, parnor
 1 2  lmr <- lmoms(c(123,34,4,654,37,78)) pdfnor(50,parnor(lmr))