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On a fixed point theorem and its stochastic equivalent

Published online by Cambridge University Press:  14 July 2016

Joseph A. Yahav*
Affiliation:
Tel-Aviv University

Abstract

A discrete-time Markov process on the interval [0, 1] is considered. Sufficient conditions for the existence of a unique stationary limiting distribution are given.

Type
Short Communications
Copyright
Copyright © Applied Probability Trust 1975 

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References

[1] Dubins, L. E. and Freedman, D. A. (1966) Invariant probabilities for certain Markov process. Ann. Math. Statist. 37, 837847.Google Scholar
[2] Loève, M. (1963) Probability Theory , 3rd ed. Van Nostrand, Princeton, N.J.Google Scholar