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Quasi-likelihood analysis of an ergodic diffusion plus noise (1806.09401v4)
Published 25 Jun 2018 in math.ST, stat.ME, and stat.TH
Abstract: We consider adaptive maximum-likelihood-type estimators and adaptive Bayes-type ones for discretely observed ergodic diffusion processes with observation noise whose variance is constant. The quasi-likelihood functions for the diffusion and drift parameters are introduced and the polynomial-type large deviation inequalities for those quasi-likelihoods are shown to see the convergence of moments for those estimators.
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