Equivalence theorems for infinite products of independent random elements on metric semigroups
T. Byczkowski, J. Woś (1977)
Colloquium Mathematicae
Yoshiaki Okazaki (1985)
Annales de l'I.H.P. Probabilités et statistiques
Jean-Gabriel Attali (2004)
ESAIM: Probability and Statistics
We provide an extension of topological methods applied to a certain class of Non Feller Models which we call Quasi-Feller. We give conditions to ensure the existence of a stationary distribution. Finally, we strengthen the conditions to obtain a positive Harris recurrence, which in turn implies the existence of a strong law of large numbers.
Jean-Gabriel Attali (2010)
ESAIM: Probability and Statistics
We provide an extension of topological methods applied to a certain class of Non Feller Models which we call Quasi-Feller. We give conditions to ensure the existence of a stationary distribution. Finally, we strengthen the conditions to obtain a positive Harris recurrence, which in turn implies the existence of a strong law of large numbers.
Lotfi Farhane (1991)
Annales scientifiques de l'Université de Clermont-Ferrand 2. Série Probabilités et applications
Thierry de La Rue (1993)
Séminaire de probabilités de Strasbourg
Jean Bouzon (1971)
Publications du Département de mathématiques (Lyon)
J. Hoffmann-Jorgensen (1971)
Mathematica Scandinavica
D. Landers, L. Rogge (1972)
Manuscripta mathematica
Viktor Beneš (1992)
Commentationes Mathematicae Universitatis Carolinae
The paper yields an investigation of the set of all finite measures on the product space with given difference of marginals. Extremal points of this set are characterized and constructed. Sets of uniqueness are studied in the relation to marginal problem. In the optimization problem the support of the optimal measure is described for a class of cost functions. In an example the optimal value is reached by an unbounded sequence of measures.
Petra Linhartová (1991)
Commentationes Mathematicae Universitatis Carolinae
The characterization of extremal points of the set of probability measures with given marginals is given in the general context of a marginal system. The sets of marginal uniqueness are studied and an example is added to illustrate the theory.
G. Pisier (1979/1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Quansheng Liu (1994)
Publications mathématiques et informatique de Rennes
Jean Jacod (1973)
Mémoires de la Société Mathématique de France
A. Nahoum (1972/1973)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
Jan K. Pachl (1974)
Commentationes Mathematicae Universitatis Carolinae
Jan K. Pachl (1976)
Commentationes Mathematicae Universitatis Carolinae
Keck, David N., McKibben, Mark A. (2003)
Journal of Applied Mathematics and Stochastic Analysis
T. Byczkowski (1977)
Studia Mathematica
T. Byczkowski, T. Inglot (1987)
Mathematische Zeitschrift