Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2014-03-04 Revision-Date: 2017-10-23 Number: 14-029/III Author-Name: Francisco Blasques Author-Workplace-Name: VU University Amsterdam Author-Name: Siem Jan Koopman Author-Workplace-Name: VU University Amsterdam Author-Name: Andre Lucas Author-Workplace-Name: VU University Amsterdam Title: Maximum Likelihood Estimation for Score-Driven Models Abstract: We establish the strong consistency and asymptotic normality of the maximum likelihood estimator for time-varying parameter models driven by the score of the predictive likelihood function. We formulate primitive conditions for global identification, invertibility, strong consistency, and asymptotic normality under both correct specification and mis-specification of the model. A detailed illustration is provided for a conditional volatility model with disturbances from the Student's t distribution. Classification-JEL: C13, C22, C12 Keywords: score-driven models, time-varying parameters, Markov processes, stationarity, invertibility, consistency, asymptotic normality File-Url: https://papers.tinbergen.nl/14029.pdf File-Format: application/pdf File-Size: 767933 bytes Handle: RePEc:tin:wpaper:20140029