Definitions
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 noun Plural form of
autocorrelation .
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Examples

We have shown that the method used to compute certain statistics, such as autocorrelations, can lead to seriously biased results.

Nearly significant partial autocorrelations appear at other lags.

Maybe you will discover midfrequency 510 yr cycles in stratospheric ozone that account for the observed 510 yr partial autocorrelations in hurricane frequency?

In figure 1, alternative sun spot cycles are multiplied by 1, and it is this modified series that the authors claim fits with climate though autocorrelations are not considered.

On the other hand, we show that the regression residuals from the linear detrending of a random walk series would contain large positive autocorrelations in the first few lags.

Most modern random number generators have extremely low autocorrelations, with a repetition rate measured in years, sometimes centuries or more.

⠠ The station errors have large autocorrelations in time, but no correlation in space, and the gridbox sampling errors have little correlation in either space or time, so these two error components are small for global and largescale averages.
Statistics of RecordBreaking Temperatures « Climate Audit 2007

However, your question — and the whole silly RC debacle regarding Ritson/Mann and computing the ACF correctly — touches on an important topic that Steve has written about in the past: There exist rich classes of stationary stochastic processes that provide amazingly realistic models of natural variability and exhibit lagone autocorrelations at or near 0.

There he cites the use of a 1,3,4,3,1 filter, which will be problematic if the lag5 autocorrelations are significant.

If my feeling for the statistics is correct, the main difference is that you get a better RE score even if the agreement between the datasets follows from slow autocorrelations.
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