Document Zbl 0873.60046

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On stability of Markov chains generated by piecewise-linear transformations. (English. Russian original) Zbl 0873.60046

Theory Probab. Math. Stat. 47, 65-70 (1993); translation from Teor. Jmovirn. Mat. Stat. 47, 63-69 (1992).

Summary: Under the condition of boundedness of the first-order moments of stationary distributions, certain estimates having the exact order of smallness are obtained for the stability of the distributions.

MSC:

60J10

Markov chains (discrete-time Markov processes on discrete state spaces)

Keywords:

stationary distributions; order of smallness; stability of the distributions

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