acf_supIG: Autocorrelation function of the supIG trawl function

Description Usage Arguments Details Value Examples

View source: R/TrawlCorrelationFunctions.R

Description

This function computes the autocorrelation function associated with the supIG trawl function.

Usage

1
acf_supIG(x, delta, gamma)

Arguments

x

The argument (lag) at which the autocorrelation function associated with the supIG trawl function will be evaluated

delta

parameter in the supIG trawl

gamma

parameter in the supIG trawl

Details

The trawl function is parametrised by the two parameters δ ≥q 0 and γ ≥q 0 as follows:

g(x) = (1-2xγ^{-2})^{-1/2}\exp(δ γ(1-(1-2xγ^{-2})^{1/2})), \mbox{ for } x ≤ 0.

It is assumed that δ and γ are not simultaneously equal to zero. Its autocorrelation function is given by:

r(x) = \exp(δγ (1-√{1+2 x/γ^2})), \mbox{ for } x ≥ 0.

Value

The autocorrelation function of the supIG trawl function evaluated at x

Examples

1
2
3
4
#Evaluate the trawl autocorrelation function at x=1
acf_supIG(1,0.3,0.1)
#Plot the trawl autocorrelation function
plot(acf_supIG((0:10),0.3,0.1))

trawl documentation built on Aug. 16, 2018, 5:04 p.m.