Develops conditions for consistent penalized quasi-likelihood model selection in affine causal processes, shows BIC inconsistency in some cases like AR(p) with ARCH errors, and adds a portmanteau goodness-of-fit test.
Asymptotic normality of the quasi-maximum like- lihood estimator for multidimensional causal processes.The Annals of Statistics 37, 5B (2009), 2730–2759
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Consistent model selection criteria and goodness-of-fit test for affine causal processes
Develops conditions for consistent penalized quasi-likelihood model selection in affine causal processes, shows BIC inconsistency in some cases like AR(p) with ARCH errors, and adds a portmanteau goodness-of-fit test.