On the representation of finite multiple Markov chains by weighted circuits

Sofia Kalpazidou

Journal of Multivariate Analysis, 1988, vol. 25, issue 2, 241-271

Abstract: In this paper circuit chains of superior order are defined as multiple Markov chains for which transition probabilities are expressed in terms of the weights of a finite class of circuits in a finite set, in connection with kinetic properties along the circuits. Conversely, it is proved that if we join any finite doubly infinite strictly stationary Markov chain of order r for which transitions hold cyclically with a second chain with the same transitions for the inverse time-sense, then they may be represented as circuit chains of order r.

Keywords: balance; properties; circuit; chains; multiple; Markov; chains; stationarity (search for similar items in EconPapers)
Date: 1988
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