UKFE (version 0.3.5)

Kappa3AM: Kappa3 distribution - estimates directly from sample

Description

Estimated quantiles as a function of return period (RP) and vice versa, directly from the data

Usage

Kappa3AM(x, RP = 100, q = NULL)

Value

quantile as a function of RP or vice versa.

Arguments

x

numeric vector (block maxima sample)

RP

return period (default = 100)

q

quantile (magnitude of variable)

Author

Anthony Hammond

Details

If the argument q is used, it overrides RP and provides RP as a function of q (magnitude of variable) as opposed to q as a function of RP. The parameters are estimated by the method of L-moments, as 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 50-year RP
AM.27090 <- GetAM(27090)
Kappa3AM(AM.27090$Flow, RP = 50)
#Estimate the RP for a 600m3/s discharge
Kappa3AM(AM.27090$Flow, q = 600)