On invariant functions and ergodic measures of Markov operators on C(X)
Ryszard Rębowski (1987)
Colloquium Mathematicae
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Displaying similar documents to “Stability of iterates of Markov operators”
On invariant functions and ergodic measures of Markov operators on C(X)
On infinite dams with Markov dependent inputs
R. M. Phatarfod (1983)
Applicationes Mathematicae
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Geometric ergodicity and hybrid Markov chains.
Roberts, Gareth O., Rosenthal, Jeffrey S. (1997)
Electronic Communications in Probability [electronic only]
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Markov operators acting on Polish spaces
Tomasz Szarek (1997)
Annales Polonici Mathematici
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We prove a new sufficient condition for the asymptotic stability of Markov operators acting on measures. This criterion is applied to iterated function systems.
Bibliography on Markov chains with a general state space
Zbyněk Šidák (1976)
Aplikace matematiky
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Uniform Ergodic Theormes for Markov Operators on C(X).
Heinrich P. Lotz (1981)
Mathematische Zeitschrift
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On a theorem of H. P. Lotz on quasi-compactness of Markov operators
Wojciech Bartoszek (1987)
Colloquium Mathematicae
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The Kendall theorem and its application to the geometric ergodicity of Markov chains
Witold Bednorz (2013)
Applicationes Mathematicae
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We give an improved quantitative version of the Kendall theorem. The Kendall theorem states that under mild conditions imposed on a probability distribution on the positive integers (i.e. a probability sequence) one can prove convergence of its renewal sequence. Due to the well-known property (the first entrance last exit decomposition) such results are of interest in the stability theory of time-homogeneous Markov chains. In particular this approach may be used to measure rates of convergence...
A simple proof of a theorem on Markov operators
Antoni Leon Dawidowicz, Andrzej Turski (1988)
Annales Polonici Mathematici
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Chernoff and Berry–Esséen inequalities for Markov processes
Pascal Lezaud (2010)
ESAIM: Probability and Statistics
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In this paper, we develop bounds on the distribution function of the empirical mean for general ergodic Markov processes having a spectral gap. Our approach is based on the perturbation theory for linear operators, following the technique introduced by Gillman.