Conditions for Attaining $\bar{d}$ by a Markovian Joining

Martin H. Ellis

doi:10.1214/aop/1176994718

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Home > Journals > Ann. Probab. > Volume 8 > Issue 3 > Article

June, 1980 Conditions for Attaining $\bar{d}$ by a Markovian Joining

Martin H. Ellis

Ann. Probab. 8(3): 431-440 (June, 1980). DOI: 10.1214/aop/1176994718

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Abstract

Necessary (and sometimes sufficient) conditions are given for a multi-step Markovian joining of two processes to attain the $\bar{d}$-distance between them. The conditions are applied to Markovian joinings of two-state Markov processes.

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Martin H. Ellis. "Conditions for Attaining $\bar{d}$ by a Markovian Joining." Ann. Probab. 8 (3) 431 - 440, June, 1980. https://doi.org/10.1214/aop/1176994718

Information

Published: June, 1980

First available in Project Euclid: 19 April 2007

zbMATH: 0457.60042

MathSciNet: MR573284

Digital Object Identifier: 10.1214/aop/1176994718

Subjects:

Primary: 28A65

Secondary: 60J10

Keywords: $\bar{d}$-distance , attaining the $\bar d$-distance , difference between two processes , discrete time process , joint process , Markov chain , Markov process , Markovian joining , Stationary random process