¹Universidad Complutense de Madrid, Quantitative Economics Department, Spain. Professor. Email: agarciah@ucm.es

The problem of diagnostic checking is tackled from the perspective of the subspace methods. Two statistics are presented and their asymptotic distributions are derived under the null hypothesis. The procedures are devised to deal with univariate and multivariate processes, are flexible and able to separately check regular and seasonal correlations. The performance in finite samples of the proposals is illustrated via Monte Carlo simulations and two examples with real data.

Key words: Diagnostic checking, Portmanteau test, Residual autocorrelation, Residuals.

Este artículo trata el problema de la diagnosis residual desde la perspectiva de los métodos de subespacios. Se presentan dos estadísticos y sus distribuciones asintóticas bajo la hipótesis nula. Ambos estadísticos pueden usarse con procesos univariantes o multivariantes, son flexibles y permiten contrastar separadamente las correlaciones regulares y estacionales. El comportamiento en muestras finitas de las dos propuestas se ilustra mediante simulaciones de Monte Carlo y dos ejemplos con datos reales.

Palabras clave: autocorrelación residual, diagnosis de residuos, test de Portmanteau, residuos.

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