Large deviations inequalities for the maximum likelihood estimator and the Bayes estimators in nonlinear stochastic differential equations (Q1293846)

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scientific article; zbMATH DE number 1310372
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Large deviations inequalities for the maximum likelihood estimator and the Bayes estimators in nonlinear stochastic differential equations
scientific article; zbMATH DE number 1310372

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    Large deviations inequalities for the maximum likelihood estimator and the Bayes estimators in nonlinear stochastic differential equations (English)
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    25 May 2000
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    Exponential bounds of large deviations are established for the maximum likelihood as well as for the Bayes estimator of a one-dimensional drift parameter of diffusion processes. The proof employes a general approach of Ibragimov and Khasminskij for getting exponential bounds for the maximum likelihood estimator for any sequence of experiments.
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    diffusion processes
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