This function estimates the L-moments of the Wakeby distribution given the parameters (ξ, α, β, γ, and δ) from parwak. The L-moments in terms of the parameters are complicated and solved numerically.
lmomwak(wakpara)
Arguments
wakpara: The parameters of the distribution.
Returns
An list is returned.
lambdas: Vector of the L-moments. First element is λ1, second element is λ2, and so on.
ratios: Vector of the L-moment ratios. Second element is τ, third element is τ3 and so on.
trim: Level of symmetrical trimming used in the computation, which is 0.
leftrim: Level of left-tail trimming used in the computation, which is NULL.
rightrim: Level of right-tail trimming used in the computation, which is NULL.
source: An attribute identifying the computational source of the L-moments: lmomwak .
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, v. 52, pp. 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.