Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License
 adj. Employing autoregression, using a weighted sample of past data to predict future results
Etymologies
Examples

In particular, he applied the concept of "autoregressive conditional heteroskedasticity" (ARCH) for this purpose.
The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel 19692006

For instance, suppose you needed to generate timevarying Rayleigh fading channels based on autoregressive models to support your fading channel simulation.
Rambles at starchamber.com » Blog Archive » Me being interviewed in EE Times

The autoregressive parameter is estimated for each of these series, as well as the number of warmest years occurring in 19902005.

Other alternative models such as higher autoregressive (AR(n), n greater than 1) models can provide a better fit to the overall spectrum, but often through parameterizing features that might be actually be associated with signals.

Modeling and Generating Multivariate Time Series with Arbitrary Marginals Using a Vector Autoregressive Technique by Deler and Nelson wherein is an equation for covariance of VAR(1) process , for zerolag where is autoregressive coefficient matrix and and is covariance matrix of driving noise (white in time).

I have done my forecast using a combination of truncated gaussian, autoregressive, and trailing moving averages.

There is good reason to believe that many tree ring signals are not only first order autoregressive, but second order as well, because many forest insects cycle due to predatorprey, insectplant, and insectdisease interactions.

As a whole that group is more likely to consider autoregressive behavior as a psychological aliment than a statistical framework and to say, “Oh, a statistical appendix: these guys must know their stuff.”
USCCSP: Temperature Trends in the Lower Atmosphere « Climate Audit

It means the autocorrelation coefficient is a weak model for describing the autoregressive effect of alpha.

Footnote for those who care: for temperature trend estimation, bounding or testing, I think that you need to use something like Engel's ARCH LM test "autoregressive conditional heteroskedastic" Lagrange Multiplier, which is based on the regression of the squared residuals on the lagged squared residuals, for as many lags you want to include, and which the test statistic equal to the sample size times the Rsquared is approximately a Chisquare.
USCCSP: Temperature Trends in the Lower Atmosphere « Climate Audit
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