pdfnor: Probability Density Function of the Normal Distribution

In lmomco: L-Moments, Censored L-Moments, Trimmed L-Moments, L-Comoments, and Many Distributions

Probability Density Function of the Normal Distribution

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}{\sigma \sqrt{2\pi}} \exp\!\left(\frac{-(x-\mu)^2}{2\sigma^2}\right) \mbox{,}

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

Usage

pdfnor(x, para)

Arguments

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

Value

Probability density (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., 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

cdfnor, quanor, lmomnor, parnor

Examples

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

lmomco documentation built on Aug. 30, 2023, 5:10 p.m.