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.
Quasi-maximum-likelihood estimation in conditionally het- eroscedastic time series: A stochastic recurrence equations approach.The Annals of Statistics 34, 5 (2006), 2449–2495
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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.