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An averaging principle for switching recurrent sequences. (English. Russian original) Zbl 0834.60041

Theory Probab. Math. Stat. 45, 1-8 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 3-12 (1991).
Summary: Theorems are proved on the uniform convergence of sample paths of stochastic recurrent sequences, with switchings of Markov type, to solutions of the corresponding differential equations.

MSC:

60G17 Sample path properties
60F05 Central limit and other weak theorems
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