pdfnor {lmomco}

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))