Thank you Stephane.

Unfortunately, neither of those links contains the information that I am 
seeking. Those links contain some example plots of autocorrelation functions 
including a discussion of time-spans over which the example time-series is 
autocorrelated and when it is not, but neither link defines the (exponential or 
integral) autocorrelation time except to show a plot and indicate when it is 
non-zero and when it fluctuates about zero.

For example, I already know that the autocorrelation time describes the 
exponential decay of the correlation and that two values drawn from the same 
simulation are statistically independent if they are separated by a sufficient 
number of (accurate) autocorrelation times, but this information is not exactly 
a definition of the autocorrelation time.

I am hoping to find a definition of the autocorrelation time in terms of the 
probability of drawing uncorrelated samples, although any complete definition 
will do.

If anybody else has the time, I would appreciate it.

Thank you,
Chris.

-- original message --

Probably these links give you simple and clear response for your question 
http://idlastro.gsfc.nasa.gov/idl_html_help/Time-Series_Analysis.html and 
http://www.statsoft.com/textbook/time-series-analysis/ HTH Stephane
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