GEN: Optimal Detrending of a Time Series Method ...

[Andrew <andrew@xxxxxxxxx>]

I would like to begin a new discussion on this list regarding the
detrending of a price series.

I would imagine that the following methods would do a fair job of
removing the linear trend component from a time series.

1. Subtract series average from each data point.
2. Use a bandpass filter to filter out all information above and below
    certain frequency cut off points.
3. Calculate a least squares regression line of the time series and
subtract
    it from each data point

I would imagine that the optimal method would be the lease squares
regression line.  Would anyone here on the list comment on the above?
What is the best way for "detrending" data in your opinion.  I am
looking forward to an educational discussion from some of the more
mathematically inclined members from the list.

Regards,

Andrew