lmomwak function

L-moments of the Wakeby Distribution

L-moments of the Wakeby Distribution

This function estimates the L-moments of the Wakeby distribution given the parameters (ξ\xi, α\alpha, β\beta, γ\gamma, and δ\delta) 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\lambda_1, second element is λ2\lambda_2, and so on.

  • ratios: Vector of the L-moment ratios. Second element is τ\tau, third element is τ3\tau_3 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.

Author(s)

W.H. Asquith

See Also

parwak, cdfwak, pdfwak, quawak

Examples

lmr <- lmoms(c(123,34,4,654,37,78)) lmr lmomwak(parwak(lmr))

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