An Introduction to the Theory of Stochastic Orders.
F. Belzunce (2010)
Boletín de Estadística e Investigación Operativa. BEIO
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F. Belzunce (2010)
Boletín de Estadística e Investigación Operativa. BEIO
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R. Jajte (1971)
Colloquium Mathematicae
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Katarzyna Jańczak-Borkowska (2011)
Bulletin of the Polish Academy of Sciences. Mathematics
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Generalized reflected backward stochastic differential equations have been considered so far only in the case of a deterministic interval. In this paper the existence and uniqueness of solution for generalized reflected backward stochastic differential equations in a convex domain with random terminal time is studied. Applications to the obstacle problem with Neumann boundary conditions for partial differential equations of elliptic type are given.
Abdul-Hadi N. Ahmed (1990)
Trabajos de Estadística
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Several new multivariate negative dependence concepts such as negative upper orthant dependent in sequence, negatively associated in sequence, right tail negatively decreasing in sequence and upper (lower) negatively decreasing in sequence through stochastic ordering are introduced. These concepts conform with the basic idea that if a set of random variables is split into two sets, then one is increasing whenever the other is decreasing. Our concepts are easily verifiable and enjoy many...
Xiaoyao Jia, Juanjuan Gao, Xiaoquan Ding (2016)
Open Mathematics
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In this paper, we consider the existence of a pullback attractor for the random dynamical system generated by stochastic two-compartment Gray-Scott equation for a multiplicative noise with the homogeneous Neumann boundary condition on a bounded domain of space dimension n ≤ 3. We first show that the stochastic Gray-Scott equation generates a random dynamical system by transforming this stochastic equation into a random one. We also show that the existence of a random attractor for the...
See, Chuen-Teck, Chen, Jeremy (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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J. Legoupil (1967-1968)
Publications mathématiques et informatique de Rennes
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J. Legoupil (1966-1967)
Publications mathématiques et informatique de Rennes
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Duma, Andrei, Stoka, Marius (1999)
Beiträge zur Algebra und Geometrie
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Bauschke, Heinz G., Borwein, Jonathan M. (1997)
Journal of Convex Analysis
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Antje Mugler, Hans-Jörg Starkloff (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In this article we consider elliptic partial differential equations with random coefficients and/or random forcing terms. In the current treatment of such problems by stochastic Galerkin methods it is standard to assume that the random diffusion coefficient is bounded by positive deterministic constants or modeled as lognormal random field. In contrast, we make the significantly weaker assumption that the non-negative random coefficients can be bounded strictly away from zero and infinity...
Z. Rychlik, D. Szynal (1973)
Colloquium Mathematicae
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Zdzisław Rychlik (1976)
Colloquium Mathematicae
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Abdul Rahim Khan, Nawab Hussain (2003)
Archivum Mathematicum
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Some characterizations of random approximations are obtained in a locally convex space through duality theory.