This function estimates the parameters of the Kappa distribution given the L-moments of the data in an L-moment object such as that returned by lmoms
. The relations between distribution parameters and L-moments are seen under lmomkap
.
parkap(lmom, checklmom=TRUE, ...)
Should the lmom
be checked for validity using the are.lmom.valid
function. Normally this should be left as the default and it is very unlikely that the L-moments will not be viable (particularly in the \(\tau_4\) and \(\tau_3\) inequality). However, for some circumstances or large simulation exercises then one might want to bypass this check.
Other arguments to pass.
An R list
is returned.
The type of distribution: kap
.
The parameters of the distribution.
The source of the parameters: “parkap”.
The support (or range) of the fitted distribution.
A numeric failure code.
A text message for the failure code.
Hosking, J.R.M., 1994, The four-parameter kappa distribution: IBM Journal of Reserach and Development, v. 38, no. 3, pp. 251--258.
Hosking, J.R.M., and Wallis, J.R., 1997, Regional frequency analysis---An approach based on L-moments: Cambridge University Press.
# NOT RUN {
lmr <- lmoms(rnorm(20))
parkap(lmr)
# }
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