Document Zbl 0838.60060

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Asymptotic behavior of solutions of stochastic recurrence equations under weakly dependent Gaussian Markov perturbations. (English. Russian original) Zbl 0838.60060

Theory Probab. Math. Stat. 45, 35-39 (1992); translation from Teor. Veroyatn. Mat. Stat., Kiev 45, 39-44 (1991).

The author gives necessary and sufficient conditions for almost sure convergence to zero of solutions of stochastic recursion equations under Gaussian Markov perturbations.

Reviewer: S.Wedrychowicz (Rzeszów)

MSC:

60H99	Stochastic analysis
60F15	Strong limit theorems
60G15	Gaussian processes

Keywords:

almost sure convergence; stochastic recursion equations; Gaussian Markov perturbations

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