Results 1 to 10 of about 28 (23)
The Lattice Property of Uniform Amarts
Annals of Probability, 1989 In this note it is shown that the $L^1$-bounded uniform amarts in $l^1$ form a vector lattice. This extends a result of Austin, Edgar and Ionescu Tulcea on real-valued $L^1$-bounded amarts and parallels a result of Ghoussoub on $L^1$-bounded order amarts.
Klaus D Schmidt
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Immunopathology of Early Pregnancy
, 1997 Infectious Diseases in Obstetrics and Gynecology, Volume 5, Issue 2, Page 73-92, 1997.
Gérard Chaouat +10 more
wiley +1 more source
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Convergence theorems for set-valued amarts and uniform amarts
Analysis Mathematica, 1996We continue our study of set-valued random processes initiated e.g. in [Proc. Indian Acad. Sci., Math. Sci. 101, No. 2, 63-70 (1991; Zbl 0756.28007)]. In this and other works, we concentrated our attention primarily to set-valued martingales and semi-martingales (i.e., set-valued submartingales and supermartingales).
Nikolaos S Papageorgiou +1 more
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T –UNIFORM AMARTS AND ALMOST SURE CONVERGENCE IN BANACH SPACE
Acta Mathematica Scientia, 1985Let E be a separable Banach space with norm \(\| \cdot \|\), and \(T^ f\) be the set of all finite stopping times. The author proves that if E has the Radon-Nikodym property and if \((X_ n,f_ n)_{n\geq 1}\) is a \(T^ f\)-uniform amart of class A (i.e. \(\liminf_{T^ f} E \| X_ t\|
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Continuous parameter uniform amarts
Lecture Notes in Mathematics, 1981Louis Sucheston
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Uniform amarts: A class of asymptotic martingales for which strong almost sure convergence obtains
Zeitschrift Für Wahrscheinlichkeitstheorie Und Verwandte Gebiete, 1978exaly +2 more sources
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2005
In this paper, we shall first give a general method for convergence theorem of fuzzy set-valued random variables. By using this "sandwich" method, we give the proofs of convergence theorems for fuzzy set-valued martingales, sub- and supermartingales in the sense of the extended Hausdorff metric H∞.
Shoumei Li, Jinping Zhang
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In this paper, we shall first give a general method for convergence theorem of fuzzy set-valued random variables. By using this "sandwich" method, we give the proofs of convergence theorems for fuzzy set-valued martingales, sub- and supermartingales in the sense of the extended Hausdorff metric H∞.
Shoumei Li, Jinping Zhang
openaire +1 more source
Multivalued quasi-martingales and uniform amarts
The subject of this paper are quasimartingales and uniform amarts or random sets with values in the class \({\mathbb{K}}_ c\) of all nonempty closed bounded convex subsets of a separable Banach space \({\mathbb{E}}\). These multivalued quasimartingales and uniform amarts are defined in terms of the Hausdorff distance and the conditional expectation of ...openaire +2 more sources
Decomposition and representation theorem of set-valued amarts
International Journal of Approximate Reasoning, 2007Shoumei Li
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