Tg. Andersen et Be. Sorensen, GMM ESTIMATION OF A STOCHASTIC VOLATILITY MODEL - A MONTE-CARLO STUDY, Journal of business & economic statistics, 14(3), 1996, pp. 328-352
We examine alternative generalized method of moments procedures for es
timation of a stochastic autoregressive volatility model by Monte Carl
o methods. We document the existence of a tradeoff between the number
of moments, or information, included in estimation and the quality, or
precision, of the objective function used for estimation. Furthermore
, an approximation to the optimal weighting matrix is used to explore
the impact of the weighting matrix for estimation, specification testi
ng, and inference procedures. The results provide guidelines that help
achieve desirable small-sample properties in settings characterized b
y strong conditional heteroscedasticity and correlation among the mome
nts.