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trawl (version 0.2.2)

fit_LMtrawl: Fits a long memory trawl function to equidistant univariate time series data

Description

Fits a long memory trawl function to equidistant univariate time series data

Usage

fit_LMtrawl(x, Delta = 1, GMMlag = 5, plotacf = FALSE, lags = 100)

Arguments

x

vector of equidistant time series data

Delta

interval length of the time grid used in the time series, the default is 1

GMMlag

lag length used in the GMM estimation, the default is 5

plotacf

binary variable specifying whether or not the empirical and fitted autocorrelation function should be plotted

lags

number of lags to be used in the plot of the autocorrelation function

Value

alpha: parameter in the long memory trawl

H: parameter in the long memory trawl

LM: The Lebesgue measure of the trawl set associated with the long memory trawl

Details

The trawl function is parametrised by the two parameters \(H> 1\) and \(\alpha > 0\) as follows: $$g(x) = (1-x/\alpha)^{-H},\mbox{ for } x \le 0.$$ The Lebesgue measure of the corresponding trawl set is given by \(\alpha/(1-H)\).