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ON THE LAGRANGE MULTIPLIER TEST FOR AUTOREGRESSIVE MOVING-AVERAGE MODELS
Authors:Greta M.  Ljung
Affiliation:Massachusetts Institute of Technology
Abstract:Abstract. This paper examines the score or Lagrange multiplier statistic for testing the adequacy of a fitted autoregressive moving-average model and gives a simple closed-form expression for this test statistic. Some singularities arising as the order of the alternative model is increased are examined.
Keywords:Autoregressive moving-average model    information matrix    Lagrange multiplier test    model checking    residual autocorrelations
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