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      Model-order selection

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      IEEE Signal Processing Magazine
      Institute of Electrical and Electronics Engineers (IEEE)

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          Performance study of conditional and unconditional direction-of-arrival estimation

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            A CORRECTED AKAIKE INFORMATION CRITERION FOR VECTOR AUTOREGRESSIVE MODEL SELECTION

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              Optimal Choice of AR and MA Parts in Autoregressive Moving Average Models.

              This paper deals with the Bayesian method of choosing the best model for a given one-dimensional series among a finite number of candidates belonging to autoregressive (AR), moving average (MA), ARMA, and other families. The series could be either a sequence of observations in time as in speech applications, or a sequence of pixel intensities of a two-dimensional image. The observation set is not restricted to be Gaussian. We first derive an optimum decision rule for assigning the given observation set to one of the candidate models so as to minimize the average probability of error in the decision. We also derive an optimal decision rule so as to minimize the average value of the loss function. Then we simplify the decision rule when the candidate models are different Gaussian ARMA models of different orders. We discuss the consistency of the optimal decision rule and compare it with the other decision rules in the literature for comparing dynamical models.
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                Author and article information

                Journal
                IEEE Signal Processing Magazine
                IEEE Signal Process. Mag.
                Institute of Electrical and Electronics Engineers (IEEE)
                1053-5888
                July 2004
                July 2004
                : 21
                : 4
                : 36-47
                Article
                10.1109/MSP.2004.1311138
                eec7396a-b527-473f-be65-5935c98d3a87
                © 2004
                History

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