Likelihood Inference in an Autoregression with Fixed Effects

Geert Dhaene and Koen Jochmans

SciencePo Working papers Main from HAL

Abstract: We calculate the bias of the profile score for the regression coefficients in a multistratum autoregressive model with stratum-specific intercepts. The bias is free of incidental parameters. Centering the profile score delivers an unbiased estimating equation and, upon integration, an adjusted profile likelihood. A variety of other approaches to constructing modified profile likelihoods are shown to yield equivalent results. However, the global maximizer of the adjusted likelihood lies at infinity for any sample size, and the adjusted profile score has multiple zeros. Consistent parameter estimates are obtained as local maximizers inside or on an ellipsoid centered at the maximum likelihood estimator.

Date: 2016-10
Note: View the original document on HAL open archive server: https://sciencespo.hal.science/hal-03391995
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Published in Econometric Theory, 2016, 32 (5), pp.1178 - 1215. ⟨10.1017/S0266466615000146⟩

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Related works:
Journal Article: LIKELIHOOD INFERENCE IN AN AUTOREGRESSION WITH FIXED EFFECTS (2016)
Working Paper: Likelihood Inference in an Autoregression with Fixed Effects (2016)
Working Paper: Likelihood inference in an Autoregression with fixed effects (2013)
Working Paper: Likelihood inference in an Autoregression with fixed effects (2013)
Working Paper: Likelihood inference in an Autoregression with fixed effects (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:spmain:hal-03391995

DOI: 10.1017/S0266466615000146

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