Answers to time scales problems

Notice that since arch.dat is non-stationary, no time averaged information is meaningful! Once can compute the numbers, but they cannot characterize the properties of the data!
amplitude.dat whatisit.dat
First zero of the auto-correlation function 8-9 10
exponential decay of envelopedata set too short -0.0025
lag from 2-dim delay embedding 8 3
Theiler window about 20 about 20

The Theiler window should be half a period for such an almost periodic pattern, but is suitablt chosen much larger, since typically not much statistics is lost, as long as it remains smaller than about 10% of the data set size.

Usage of stp , e.g.,:
plot '< stp whatisit.dat -d5 -m3 -t50'