lmomco (version 0.88)

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.
• exp
  $\tau_3$ and $\tau_4$ of the Exponential distribution.
• gam
  $\tau_3$ and $\tau_4$ of the Gamma 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.
• 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

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()