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DIAGNOSTIC CHECKING ARMA TIME SERIES MODELS USING SQUARED‐RESIDUAL AUTOCORRELATIONS

Journal of Time Series AnalysisPublished 1 July 1983
A. Ian McLeod, W. K. Li
Citations1,133
SJR quartileQ1
SJR score0.94
SNIP1.27

Abstract

Abstract. Squared‐residual autocorrelations have been found useful in detecting nonlinear types of statistical dependence in the residuals of fitted autoregressive‐moving average (ARMA) models (Granger and Andersen, 1978; Miller, 1979). In this note it is shown that the normalized squared‐residual autocorrelations are asymptotically unit multivariate normal. The results of a simulation experiment confirming the small‐sample validity of the proposed tests is reported.

Keywords

MathematicsDecision SciencesEconomics, Econometrics and Finance