FGNAcf {FGN} | R Documentation |
The FGN time series is an example of a time series exhibiting long-range dependence and characterized by the fact that its autocorrelation function exhibits hyperbolic decay rather than exponential decay found in stationary ARMA time series. The FGN and other alternatives are discussed in Hipel and McLeod (2005).
FGNAcf(k, H)
k |
lag or lags - may be vector |
H |
Hurst parameter |
value of the autocorrelation at lag(s) k
The parameter H should be in (0,1). An error message is given if it is not.
A.I. McLeod
Hipel, K.W. and McLeod, A.I., (2005). Time Series Modelling of Water Resources and Environmental Systems. Electronic reprint of our book orginally published in 1994. http://www.stats.uwo.ca/faculty/aim/1994Book/.
McLeod, A.I., Yu, Hao, Krougly, Zinovi L. (2007). Algorithms for Linear Time Series Analysis, Journal of Statistical Software.
#compute the acf at lags 0,1,...,10 when H=0.7 FGNAcf(0:10, 0.7)