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Autoregression on a finite abelian group controlled by a Markov chain. (Russian. English summary) Zbl 1478.60014

Summary: An analog of convergence principle due to B. M. Kloss [Dokl. Akad. Nauk SSSR 109, 453–455 (1956; Zbl 0072.34503)] is proved for autoregressive sequences of random variables on a finite Abelian group controlled by a Markov chain.

MSC:

60B15 Probability measures on groups or semigroups, Fourier transforms, factorization
60J10 Markov chains (discrete-time Markov processes on discrete state spaces)

Citations:

Zbl 0072.34503

References:

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