lmomco (version 2.0.1)

lmrdia: 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.
• aep4
  $\tau_3$ and $\tau_4$ lower limits of the Asymmetric Exponential Power distribution.
• cau
  $\tau_3$ and $\tau_4$ (limiting conditions) of the Cauchy distribution.
• 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.
• gno
  $\tau_3$ and $\tau_4$ of the Generalized Normal distribution.
• gov
  $\tau_3$ and $\tau_4$ of the Govindarajulu 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.

References

Asquith, W.H., 2011, Distributional analysis with L-moment statistics using the R environment for statistical computing: First edition, CreateSpace Independent Publishing Platform, ISBN 978-1463508418, 2nd printing, 348 p.

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, 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()