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On Empirical Processes for Ergodic Diffusions and Rates of Convergence of M-estimators
Authors:Harry van  Zanten
Institution:Free University Amsterdam
Abstract:Abstract. This paper contributes to the development of empirical process theory for ergodic diffusions. We prove an entropy‐type maximal inequality for the increments of the empirical process of an ergodic diffusion. The inequality is used to study the rate of convergence of M‐estimators.
Keywords:empirical process  ergodic diffusion process  maximal inequality  maximum likelihood estimator              M-estimator  rate of convergence
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