Template-type: ReDIF-Paper 1.0 Author-Name: Cavit Pakel Author-Email: cavit.pakel@economics.ox.ac.uk Author-Workplace-Name: Department of Economics and Oxford-Man Institute, University of Oxford, Oxford Author-Name: Neil Shephard Author-Email: neil.shephard@economics.ox.ac.uk Author-Workplace-Name: Oxford-Man Institute and Department of Economics, University of Oxford, Oxford Author-Name: Kevin Sheppard Author-Email: kevin.sheppard@economics.ox.ac.uk Author-Workplace-Name: Oxford-Man Institute and Department of Economics, University of Oxford, Oxford Title: Nuisance parameters, composite likelihoods and a panel of GARCH models Abstract: We investigate the properties of the composite likelihood (CL) method for (T ×N_T ) GARCH panels. The defining feature of a GARCH panel with time series length T is that, while nuisance parameters are allowed to vary across N_T series, other parameters of interest are assumed to be common. CL pools information across the panel instead of using information available in a single series only. Simulations and empirical analysis illustrate that in reasonably large T CL performs well. However, due to the estimation error introduced through nuisance parameter estimation, CL is subject to the “incidental parameter” problem for small T. Keywords: ARCH models; composite likelihood; nuisance parameters; panel data Classification-JEL: C01, C14, C32 Length: 22 pages Creation-Date: 2009-10-02 Number: 2009-W12 File-URL: http://www.nuffield.ox.ac.uk/economics/papers/2009/w12/cavit300909.pdf File-Format: application/pdf Handle: RePEc:nuf:econwp:0912