# 18-013/III (2018-02-09)

Author(s)
Francisco (F.) Blasques, VU Amsterdam, The Netherlands; Paolo Gorgi, VU Amsterdam, The Netherlands; Siem Jan (S.J.) Koopman, VU Amsterdam, The Netherlands
Keywords:
missing data, observation-driven models, consistency, indirect inference, volatility
JEL codes:
C22, C58

We argue that existing methods for the treatment of missing observations in observation-driven models lead to inconsistent inference. We provide a formal proof of this inconsistency for a Gaussian model with time-varying mean. A Monte Carlo simulation study supports this theoretical result and illustrates how the inconsistency problem extends to score-driven and, more generally, to observation-driven models, which include well-known models for conditional volatility. To overcome the problem of inconsistent inference, we propose a novel estimation procedure based on indirect inference. This easy-to-implement method delivers consistent inference. The asymptotic properties are formally derived. Our proposed method shows a promising performance in both a Monte Carlo study and an empirical study concerning the measurement of conditional volatility from financial returns data.