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LARGE DEVIATIONS FOR MARKOV CHAINS

LARGE DEVIATIONS FOR MARKOV CHAINS
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摘要 Donsker-Varadhan's large deviation theory is applied to Markov chains with continuous parameter and countable state space. Since the lower estimate given by Donsker and Varadhan [5; part 4] is general enough in our context, we study only the upper estimate, and make the conditions for the estimate explicit. Donsker-Varadhan's large deviation theory is applied to Markov chains with continuous parameter and countable state space. Since the lower estimate given by Donsker and Varadhan [5; part 4] is general enough in our context, we study only the upper estimate, and make the conditions for the estimate explicit.
出处 《Acta Mathematica Scientia》 SCIE CSCD 1990年第2期217-228,共12页 数学物理学报(B辑英文版)
基金 This work is supported in part by NSFC and the Foundation of Zhongshan. University, Advanced Research Centre.
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