| cdfpe3 {lmomco} | R Documentation |
This function computes the cumulative probability or nonexceedance probability
of the Pearson Type III distribution given parameters (xi, α,
and gamma) of the distribution computed
by parpe3. The cumulative distribution function of the
distribution is
F(x) = frac{G(α,frac{x - xi}{gamma})}{Γ(α)} mbox{,}
where F(x) is the nonexceedance probability for quantile x, G is the incomplete gamma function, Γ is the gamma function, xi is a location parameter, α is a scale parameter, and gamma is a shape parameter.
cdfpe3(x, para)
x |
A real value. |
para |
The parameters from parpe3 or similar. |
Nonexceedance probability (F) for x.
W.H. Asquith
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.
lmr <- lmom.ub(c(123,34,4,654,37,78)) cdfpe3(50,parpe3(lmr))