@InProceedings{Moddemeijer:1999:EASb, author = "R. Moddemeijer", title = "An efficient algorithm for selecting optimal configurations of {AR}-coefficients", editor = "A. Barb\'e et. al.", booktitle = "Twentieth Symposium on Information Theory in the Benelux", address = "Haasrode (B)", month = may # " 27-28 ", publisher = "Werkgemeenschap Informatie- en Communicatietheorie, Enschede (NL)", year = "1999", pages = "189-196", url = "http://www.cs.rug.nl/~rudy/papers/abstracts/RM9902.html", url = "ftp://ftp.cs.rug.nl/pub/users/rudy/slides/RM9902.ps.gz", url = "ftp://ftp.cs.rug.nl/pub/users/rudy/documents/RM9902.ps.gz", ISBN = "90-71048-14-4", checked = "R. Moddemeijer, rudy at cs.rug.nl, 31 May 1999", entered = "R. Moddemeijer, rudy at cs.rug.nl, 17 March 1999", abstract = "There exists an essential difference between the correct Auto Regressive (AR) model and the optimal AR-model. We try to find an optimal model balancing between flexibility, using many AR-parameters, and low variance, using only a few AR-parameters. We select an optimal AR-parameter configuration consisting of zero and non-zero parameters given a maximum AR-order. This optimal configuration will be selected using a Modified Information Criterion (MIC) which is closely related to Akaike's criterion (AIC). This MIC allows an a priori selection of the probability of estimating too many parameters. We present the method and a verification by simulations. The method is based on pivoting the Hessian matrix by Gauss-Jordan pivots. As a result we can now select an optimal parameter configuration with an a priori probability of selecting a configuration with a too large number of parameters given an a priori selected maximum AR-order.", }