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The limits in \(d\) of multi-step Markov chains

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Publication:1241935
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DOI10.1007/BF02759785zbMath0366.60098WikidataQ105585000 ScholiaQ105585000MaRDI QIDQ1241935

Gideon Schwarz, Daniel J. Rudolph

Publication date: 1977

Published in: Israel Journal of Mathematics (Search for Journal in Brave)



Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10)


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Speed of \(\overline d\)-convergence for Markov approximations of chains with complete connections. A coupling approach ⋮ Informal research statement ⋮ Nonparametric statistical inference for the context tree of a stationary ergodic process ⋮ A special family of ergodic flows and their d-limits ⋮ Waiting times: Positive and negative results on the Wyner-Ziv problem ⋮ Statistical properties of chaotic systems



Cites Work

  • Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
  • Entropy zero \(\times\) Bernoulli processes are closed in the \(d\)-metric
  • Noninvariance of \(\bar d\)-convergence of \(k\)-step Markov approximations
  • On isomorphism of weak Bernoulli transformations
  • Irreducible Markov Shifts
  • Unnamed Item
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