On multiple Markov chains
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TL;DR: In this paper, the degeneration of the multiple Markov dependence to the simple one was examined for the discrete as well as for the continuous parameter case, and it was shown that it leads to a degeneration to a simple one.
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About: This article is published in Journal of Multivariate Analysis. The article was published on 01 Dec 1977. and is currently open access. The article focuses on the topics: Markov chain & Markov property.
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Citations
On the elliptic equation Δ+-^{}=0 on complete Riemannian manifolds and their geometric applications
TL;DR: In this paper, the authors studied the elliptic equation ∆u + ku −Kup = 0 on complete non-compact Riemannian manifolds with K nonnegative.
On the representation of finite multiple Markov chains by weighted circuits
TL;DR: In this article, the authors define circuit chains of superior order 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.
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Remarks on multiple markov dependence (
R. Theodorescu
- 01 Jan 1984
TL;DR: In this paper, a possible definition of multiple Markov dependence with a continuous meter is examined, starting from a property of the discrete parameter case, and a system of differential equations for the covariance matrix is derived.
1
On multiple circuit chains with a countable infinity of states
TL;DR: Denumerable r th order Markov chains of order r with transition law expressed in terms of the weights of a denumerable class of overlapping directed circuits in the plane were studied in this article.