lmrdia {lmomco}R Documentation

L-moment Ratio Diagram Components

Description

This function returns a list of the L-skew and L-kurtosis (tau_3 and tau_4, respectively) ordinates for construction of L-moment Ratio (L-moment diagrams) that are useful in selecting a distribution to model the data.

Usage

lmrdia()

Value

An R list is returned.

limits The theoretical limits of tau_3 and tau_4–below tau_4 are theoretically not possible.
exp tau_3 and tau_4 of the Exponential distribution.
gev tau_3 and tau_4 of the Generalized Extreme Value distribution.
glo tau_3 and tau_4 of the Generalized Logistic distribution.
gpa tau_3 and tau_4 of the Generalized Pareto distribution.
gum tau_3 and tau_4 of the Gumbel distribution.
ray tau_3 and tau_4 of the Rayleigh distribution.
lognormal tau_3 and tau_4 of the Lognormal distribution.
nor tau_3 and tau_4 of the Normal distribution.
pe3 tau_3 and tau_4 of the Pearson Type III distribution.
uniform tau_3 and tau_4 of the uniform distribution.

Author(s)

W.H. Asquith

References

Hosking, J.R.M., 1986, The theory of probability weighted moments: Research Report RC12210, IBM Research Division, Yorkton Heights, N.Y.

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

plotlmrdia

Examples

lratios <- lmrdia()

[Package lmomco version 0.96.3 Index]