BARTLETT CORRECTION IN THE STABLE AR(1) MODEL WITH INTERCEPT AND TREND
Noud Giersbergen ()
Econometric Theory, 2009, vol. 25, issue 3, 857-872
Bartlett corrections are derived for testing hypotheses about the autoregressive parameter Ï in the stable (a) AR(1) model, (b) AR(1) model with intercept, (c) AR(1) model with intercept and linear trend. The correction is found explicitly as a function of Ï . In the models with deterministic terms, the correction factor is asymmetric in Ï . Furthermore, the Bartlett correction is monotonically increasing in Ï and tends to infinity when Ï approaches the stability boundary of + 1. Simulation results indicate that the Bartlett corrections are useful in controlling the size of the likelihood ratio statistic in small samples, although these corrections are not the ultimate panacea.
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