Quote from bluelou:
dtrader98,
You're welcome. VHF is vertical horizontal filter, I think. You should be able to find it on any of the technical analysis sites.
-Lou
Hey bluelou,
I ran some of the numbers on the link you referenced. Although, his idea is very intuitive and simple (which I like), there is a pretty strong systematic error bias that you should be aware of.
1) He asserts that brownian walk should give D=1.5, H=.5
I ran his formula over many trials of a brownian walk and it averaged only 1.4 (H=.6).
This is also the number he arrived at after huge runs of monte carlo. He tries to explain it away, by explaining some difficulties in generating true brownian walk (particularly non infinitesimally small sample steps). However, I ran the same exact series I generated on a true R/S algorithm and I get exactly H=.5 as expected.
So you might try to calibrate and or even look at the linearity of the D and H values over a sweep of different types of behaviors (trend, rand, mean rev, etc..) as it may need to be calibrated.
The extreme ends (i.e. perfect white, and perfect ramp) are also slightly off;
uniform white h= .14
GBM rand h = .6
trend ramp h= .93
I have not yet verified if the intermediate ranges are linear, either.
Haven't even looked at forward relationships or actual market series yet. But these systematic biases need to be calibrated and compensated for, if you want to have an accurate numerical reference for regime types.
Just something to consider.
P.S. I got your point on VHF; interesting, but treading into pseudo understanding of underlying reasons IMO (as you mentioned random vs. non-random).