pdfnor {lmomco}R Documentation

Probability Density Function of the Normal Distribution

Description

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

f(x) = frac{1}{σ sqrt{2π}} e^{-(x-μ)^2/(2σ^2)} mbox{,}

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

Usage

pdfnor(x, para)

Arguments

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

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, vol. 52, p. 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, parnor

Examples

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

[Package lmomco version 0.96.3 Index]