Standard deviation of root mean square error

[aydos]

I am comparing two RMS error time-series and I would like to generate error bars on the RMS results. I think the RMS error is a standard deviation of an assumed zero mean process, and I have the gut feeling that this should be the standard deviation of the sample standard deviation. Is that correct? I would like to have a reference to cite on a paper I am writing at the moment, so if anyone knows of a useful reference I would appreciate some pointers.
Thanks in advance.

 

[mXSCNT]

RMS deviation about the mean is not exactly the sample standard deviation because in computing the sample standard deviation you divide by n-1 instead of n. For large enough samples the difference is not important.

 

[aydos]

Hi mXSCNT,
Yes thanks for pointing that out. The sample sizes are large.
How about the confidence intervals of the RMS values? Any clues in how to calculate them?