Finding lag at which cross correlation is maximum ccf( )

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野的像风
野的像风 2020-12-23 17:55

I have 2 time series and I am using ccf to find the cross correlation between them. ccf(ts1, ts2) lists the cross-correlations for all time lags. H

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  •  悲哀的现实
    2020-12-23 18:46

    Because 3 is more than 4, I also had a stab at modifying this function, this time by implementing an idea from here:

    ccfmax <- function(a, b, e=0)
    {
     d <- ccf(a, b, plot = FALSE, lag.max = length(a)/2)
     cor = d$acf[,,1]
     abscor = abs(d$acf[,,1])
     lag = d$lag[,,1]
     res = data.frame(cor, lag)
     absres = data.frame(abscor, lag)
     maxcor = max(absres$abscor)
     absres_max = res[which(absres$abscor >= maxcor-maxcor*e &
                            absres$abscor <= maxcor+maxcor*e),]
     return(absres_max)
    }
    

    Essentially an "error" term is added, so that if there are several values close to the maximum, they all get returned, eg:

    ayy <- jitter(cos((1:360)/5), 100)
    bee <- jitter(sin((1:360)/5), 100)
    
    ccfmax(ayy, bee, 0.02)
               cor lag
    348  0.9778319  -8
    349  0.9670333  -7
    363 -0.9650827   7
    364 -0.9763180   8
    

    If no value for e is given it is taken to be zero, and the function behaves just like the one nvogen posted.

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