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引用本文:����ΰ,���. �ɿɼӷ��������˶����������������ƫ΢�ַ����м�����Ȼ����������ƫ��ԭ��[J]. 应用概率统计, 2015, 31(6): 572-581
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Moderate Deviation for Maximum Likelihood Estimator in the Parabolic Stochastic Partial Differential Equations Driven by Additive Fractional Brownian Motion
Cui Ruwei,Jiang Hui. Moderate Deviation for Maximum Likelihood Estimator in the Parabolic Stochastic Partial Differential Equations Driven by Additive Fractional Brownian Motion[J]. Chinese Journal of Applied Probability and Statisties, 2015, 31(6): 572-581
Authors:Cui Ruwei  Jiang Hui
Affiliation:Department of Mathematics, Nanjing University of Aeronautics and Astronautics
Abstract:In this article, using the limit theory of martingales, we study themoderate deviation for maximum likelihood estimator of unknown parameter in the stochasticpartial differential equation driven by additive fractional Brownian motion with Hurstparameter, and the rate function can be calculated. Moreover, we apply ourmain result to several examples.
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