Dear Erik:

I thought about your comment for a while and I have come to understand that you 
are correct. The exponential (or integral) autocorrelation time is a 
mathematical construct and is defined as such. What I was looking for was an 
interpretation of the autocorrelation time in terms of the time required to 
decorrelate the sampling.

As to whether or not this will depend on the nature of the data, I don't really 
understand your conjecture. If the interpretation of the autocorrelation time 
depends on the nature of the data, then that implies to me that a single scalar 
value is useless in this case. I don't understand how it could be useful to 
represent the autocorrelation time by a single number if that number does not 
mean anything on its own. If you have time, I would appreciate if you could 
elaborate on this point.

Thank you,
Chris.

-- original message --

Aren't you looking for an interpretation rather than a definition? And will 
this not depend on the nature of the data?

Best,

Erik

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