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zbMath0414.60040MaRDI QIDQ3049590
Publication date: 1978
Full work available at URL: http://www.numdam.org/item?id=AIHPB_1978__14_4_425_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
functional central limit theoremWiener processmartingale convergence theoremsDoeblin recurrentpositive recurrent Harris chain
Discrete-time Markov processes on general state spaces (60J05) Probabilistic potential theory (60J45) Functional limit theorems; invariance principles (60F17)
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Cites Work
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- A uniform theory for sums of Markov chain transition probabilities
- Potentiel markovien récurrent des chaînes de Harris. (Recurrent Markov potential of Harris chains)
- Remark on the rate of convergence in the random central limit theorem for mixing sequences
- On the rate of convergence in the central limit theorem for Markov-chains
- On rates of convergence in a random central limit theorem and in the central limit theorem for Markov chains
- Estimation and control in Markov chains
- Weak Convergence of Stochastic Processes Defined on Semi-Infinite Time Intervals
