Plot the L-moment ratio diagram of L-skew and L-kurtosis from an L-moment ratio diagram object returned by lmrdia. This diagram is useful for selecting a distribution to model the data. The application of L-moment diagrams is well documented in the literature. This function is intended to function as a demonstration of L-moment ratio diagram plotting.
plotlmrdia(lmr=NULL, nopoints=FALSE, nolines=FALSE, nolimits=FALSE,
noaep4=FALSE, nogev=FALSE, noglo=FALSE, nogpa=FALSE, nope3=FALSE,
nopdq3=FALSE, nogno=FALSE, nogov=FALSE, nocau=TRUE, noexp=FALSE,
nonor=FALSE, nogum=FALSE, noray=FALSE, nosla=TRUE, nouni=FALSE,
xlab="L-SKEW", ylab="L-KURTOSIS", add=FALSE, empty=FALSE,
autolegend=FALSE, xleg=NULL, yleg=NULL, legendcex=0.9,
ncol=1, text.width=NULL, ...)
L-moment diagram object from lmrdia, if NULL, then empty is internally set to TRUE.
If TRUE then point distributions are not drawn.
If TRUE then line distributions are not drawn.
If TRUE then theoretical limits of L-moments are not drawn.
If TRUE then the lower bounds line of Asymmetric Exponential Power distribution is not drawn.
If TRUE then line of Generalized Extreme Value distribution is not drawn.
If TRUE then line of Generalized Logistic distribution is not drawn.
If TRUE then line of Generalized Normal (Log-Normal3) distribution is not drawn.
If TRUE then line of Govindarajulu distribution is not drawn.
If TRUE then line of Generalized Pareto distribution is not drawn.
If TRUE then line of Pearson Type III distribution is not drawn.
If TRUE then line of Polynomial Density-Quantile3 distribution is not drawn.
If TRUE then point (limiting, TL-moment [trim=1]) of the Cauchy distribution is not drawn.
If TRUE then point of Exponential distribution is not drawn.
If TRUE then point of Normal distribution is not drawn.
If TRUE then point of Gumbel distribution is not drawn.
If TRUE then point of Rayleigh distribution is not drawn.
If TRUE then point of Uniform distribution is not drawn.
If TRUE then point (limiting, TL-moment [trim=1]) of the Slash distribution is not drawn.
Horizonal axis label passed to xlab of the plot function.
Vertical axis label passed to ylab of the plot function.
A logical to toggle a call to plot to start a new plot, otherwise, just the trajectories are otherwise plotted.
A logical to return before any trajectories are plotted but after the condition of the add has been evaluated, and “empty” character string is returned.
Generate the legend by built-in algorithm.
X-coordinate of the legend. This argument is checked for being a character versus a numeric. If it is a character, then yleg is not needed and xleg and take on “location may also be specified by setting x to a single keyword” as per the functionality of graphics::legend() itself.
Y-coordinate of the legend.
The cex to pass to graphics::legend().
The number of columns in which to set the legend items (default is 1, which differs from legend() default of 1).
Argument of the same name for legend. Setting to 0.1 for ncol set to 2 seems to work pretty well when two columns are desired.
Additional arguments passed onto the plot function.
W.H. Asquith
Asquith, W.H., 2011, Distributional analysis with L-moment statistics using the R environment for statistical computing: Createspace Independent Publishing Platform, ISBN 978--146350841--8.
Asquith, W.H., 2014, Parameter estimation for the 4-parameter asymmetric exponential power distribution by the method of L-moments using R: Computational Statistics and Data Analysis, v. 71, pp. 955--970.
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, v. 52, pp. 105--124.
Hosking, J.R.M., and Wallis, J.R., 1997, Regional frequency analysis--An approach based on L-moments: Cambridge University Press.
Vogel, R.M., and Fennessey, N.M., 1993, L moment diagrams should replace product moment diagrams: Water Resources Research, v. 29, no. 6, pp. 1745--1752.
lmrdia, plotradarlmr