UKFE (version 0.4.0)

GumbelPars: Gumbel distribution parameter estimates

Description

Estimated parameters from a sample (with Lmoments or maximum likelihood estimation) or from L1 (first L-moment), Lcv (linear coefficient of variation)

Usage

GumbelPars(x = NULL, mle = FALSE, L1, LCV)

Value

Parameter estimates (location, scale)

Arguments

x

numeric vector. The sample

mle

logical argument with a default of FALSE. If FALSE the parameters are estimated with Lmoments, if TRUE the parameters are estimated by maximum likelihood estimation

L1

first Lmoment

LCV

linear coefficient of variation

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'

Examples

#Get an annual maximum sample and estimate the parameters using Lmoments
AM.27090 <- GetAM(27090)
GumbelPars(AM.27090$Flow)
#Estimate parameters using MLE
GumbelPars(AM.27090$Flow, mle = TRUE)
#calculate Lmoments and estimate the parmeters with L1 and Lcv
Pars <- as.numeric(LMoments(AM.27090$Flow)[c(1,5)])
GumbelPars(L1 = Pars[1], LCV = Pars[2])