R functions for regional frequency analysis using \(L\)-moments.
J. R. M. Hosking jrmhosking@gmail.com
This package implements methods described in the book “Regional frequency analysis: an approach based on \(L\)-moments” by J. R. M. Hosking and J. R. Wallis. It is a supplement to the lmom package, which implements \(L\)-moment methods for more general statistical applications.
The following functions are contained in this package.
cluagg
performs agglomerative hierarchical clustering.
cluinf
provides information about cluster membership in a
hierarchical clustering.
clukm
performs cluster analysis via the K-means algorithm.
as.regdata
creates an object of class "regdata", which contains a
“regional data set” consisting of summary statistics
for different data samples, one of the main building blocks
of regional frequency analysis.
regsamlmu
computes the sample \(L\)-moments of multiple data sets.
regavlmom and reglmr
both compute, with slightly different interfaces, a regional
weighted average of sample \(L\)-moments from multiple sites.
Function regavlmom is recommended for general use;
reglmr is deprecated.
regtst
computes discordancy, heterogeneity and goodness-of-fit measures
for regional frequency analysis. These statistics are as described
in Hosking and Wallis (1997, chaps. 3-5).
regfit
fits a frequency distribution to a regional data set, giving a
“regional frequency distribution”.
regqfunc and siteqfunc
return the regional growth curve and the quantile functions for individual
sites, respectively, from a regional frequency distribution fitted by
regfit.
regquant and sitequant
directly compute quantiles of the regional growth curve and of
distributions for individual sites, respectively,
from a regional frequency distribution fitted by regfit.
regsimh
runs Monte Carlo simulations to estimate the distribution of
heterogeneity and goodness-of-fit measures for an artificial region.
regsimq
runs Monte Carlo simulations to estimate the variability of
quantile estimates from a regional frequency distribution.
regquantbounds and sitequantbounds
compute error bounds for the regional growth curve and for quantiles
at individual sites, respectively, from a regional frequency distribution
fitted by regfit.
Functions cluagg, cluinf, clukm, reglmr,
and regtst are analogous to Fortran routines from the
LMOMENTS package, version 3.04, available from StatLib at
https://lib.stat.cmu.edu/general/lmoments.
In addition, functions regsimh and regsimq
provide similar functionality to PROGRAM XSIM
in the LMOMENTS Fortran package.
Hosking, J. R. M., and Wallis, J. R. (1997). Regional frequency analysis: an approach based on \(L\)-moments. Cambridge University Press.