UKFE (version 0.3.7)

Kappa3Pars: Kappa3 distribution parameter estimates

Description

Estimated parameters from a sample (using Lmoments) or from user supplied L1 (first L-moment), Lcv (linear coefficient of variation), and LSkew (linear skewness)

Usage

Kappa3Pars(x = NULL, L1, LCV, LSKEW)

Value

Parameter estimates (location, scale, shape)

Arguments

x

numeric vector. The sample

L1

first Lmoment

LCV

linear coefficient of variation

LSKEW

linear skewness

Author

Anthony Hammond

Details

The L-moment estimated parameters are by the method detailed in 'Hosking J. Wallis J. 1997 Regional Frequency Analysis: An Approach Based on L-moments. Cambridge University Press, New York'. The Kappa3 distribution is as defined by This is the Kappa3 distribution as defined in Kjeldsen, T (2019), 'The 3-parameter Kappa distribution as an alternative for use with FEH pooling groups.'Circulation - The Newsletter of the British Hydrological Society, no. 142.

Examples

#Get an annual maximum sample and estimate the parameters.
AM.27090 <- GetAM(27090)
Kappa3Pars(AM.27090$Flow)
#calculate Lmoments and estimate the parmeters with L1, L2, Lcv, and Lskew
LPars <- as.numeric(Lmoms(AM.27090$Flow))[c(1,2,5,6)]
Kappa3Pars(L1 = LPars[1], LCV = LPars[2], LSKEW = LPars[3])