A Berry-Esseen theorem for Feynman-Kac and interacting particle models
نویسندگان
چکیده
In this paper we investigate the speed of convergence of the fluctuations of a general class of Feynman-Kac particle approximation models. We design an original approach based on new Berry-Esseen type estimates for abstract martingale sequences combined with original exponential concentration estimates of interacting processes. These results extend the corresponding statements in the classical theory and apply to a class of branching and genealogical path-particle models arising in non linear filtering literature as well as in statistical physics and biology. AMS Subject Classification: 65C05, 65C35, 65C40
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