Autoregressive moving-average model: Difference between revisions

Content deleted Content added
Monkbot (talk | contribs)
m Task 18 (cosmetic): eval 11 templates: del empty params (6×); hyphenate params (2×); del |ref=harv (2×); del |url-status= (1×);
Line 85:
===Choosing p and q===
 
Finding appropriate values of ''p'' and ''q'' in the ARMA(''p'',''q'') model can be facilitated by plotting the [[partial autocorrelation function]]s for an estimate of ''p'', and likewise using the [[autocorrelation function]]s for an estimate of ''q''. Extended autocorrelation functions (EACF) can be used to simutaneouslysimultaneously determine p and q.<ref>{{Cite web|last=Missouri State University|title=Model Specification, Time Series Analysis|url=http://people.missouristate.edu/songfengzheng/Teaching/MTH548/Time%20Series-ch06.pdf}}</ref> Further information can be gleaned by considering the same functions for the residuals of a model fitted with an initial selection of ''p'' and ''q''.
 
Brockwell & Davis recommend using [[Akaike information criterion]] (AIC) for finding ''p'' and ''q''.<ref>{{cite book |last=Brockwell |first=P. J. |last2=Davis |first2=R. A. |title=Time Series: Theory and Methods |edition=2nd |publisher=Springer |___location=New York |year=2009 |page=273 |isbn=9781441903198 }}</ref> Another possible choice for order determining is the [[Bayesian information criterion|BIC]] criterion.
 
===Estimating coefficients===