Markoff chains with an enumerable number of states and a class of cascade processes-Reference-Cited by-同舟云学术

Markoff chains with an enumerable number of states and a class of cascade processes

Published:1951-01 Issue:1 Volume:47 Page:77-85
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Foster F. G.

Abstract

AbstractIn § 1 a Markoff chain is defined, and a theorem of Kolmogoroff relating to its asymptotic behaviour is stated. Its stable distributions are examined in § 2 and some further results are obtained. These are then applied in §§ 3, 4 to a certain generalization of the cascade process, regarded as a Markoff chain with a special kind of matrix.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Markoff chains—denumerable case;Doob;Trans. American Math. Soc,1945

2. Asymptotic properties of Markoff transition probabilities;Doob;Trans. American Math. Soc,1948

3. Markoff process with an enumerable infinite number of possible states

4. The Multiplicative Process

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