A reliable method to determine the ill-condition functions using stochastic arithmetic.
Abbasbandy, Saeid, Fariborzi, M.A. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Displaying similar documents to “Stochastic Arithmetic Theory and Experiments”
A reliable method to determine the ill-condition functions using stochastic arithmetic.
Quasilinear Structures in Stochastic Arithmetic and their Application
Markov, Svetoslav, Alt, René, Lamotte, Jean-Luc (2016)
Serdica Journal of Computing
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Stochastic arithmetic has been developed as a model for computing with imprecise numbers. In this model, numbers are represented by independent Gaussian variables with known mean value and standard deviation and are called stochastic numbers. The algebraic properties of stochastic numbers have already been studied by several authors. Anyhow, in most life problems the variables are not independent and a direct application of the model to estimate the standard deviation on the result...
A Basic Course on General Stochastic Integration
M. Métivier, J. Pellaumail (1977)
Publications mathématiques et informatique de Rennes
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Cylindrical Stochastic Integral
M. Métivier, J. Pellaumail (1976)
Publications mathématiques et informatique de Rennes
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The stochastic limit in the analysis of some modified open BCS models
Fabio Bagarello (2006)
Banach Center Publications
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On the General Stochastic Epidemic
J. Gani (1966-1967)
Publications mathématiques et informatique de Rennes
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Stochastic analysis of a three unit standby system.
Sridharan, V., Kalyani, T.V. (2005)
APPS. Applied Sciences
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Consistency of minimizers and the SLLN for stochastic programs.
Artstein, Zvi, Wets, Roger J.B. (1995)
Journal of Convex Analysis
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-th mean behavior of solutions of stochastic differential equations under parametric perturbations.
Janković, Svetlana, Jovanović, Miljana (2000)
Novi Sad Journal of Mathematics
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Stochastic differential inclusions
Michał Kisielewicz (1997)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
Symbolic computing in probabilistic and stochastic analysis
Marcin Kamiński (2015)
International Journal of Applied Mathematics and Computer Science
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The main aim is to present recent developments in applications of symbolic computing in probabilistic and stochastic analysis, and this is done using the example of the well-known MAPLE system. The key theoretical methods discussed are (i) analytical derivations, (ii) the classical Monte-Carlo simulation approach, (iii) the stochastic perturbation technique, as well as (iv) some semi-analytical approaches. It is demonstrated in particular how to engage the basic symbolic tools implemented...
Transforming stochastic matrices for stochastic comparison with the st-order
Tuğrul Dayar, Jean-Michel Fourneau, Nihal Pekergin (2010)
RAIRO - Operations Research
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We present a transformation for stochastic matrices and analyze the effects of using it in stochastic comparison with the strong stochastic (st) order. We show that unless the given stochastic matrix is row diagonally dominant, the transformed matrix provides better st bounds on the steady state probability distribution.
Numerical solution of a stochastic model of a ball-type vibration absorber
Fischer, Cyril, Náprstek, Jiří
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The mathematical model of a ball-type vibration absorber represents a non-linear differential system which includes non-holonomic constraints. When a random ambient excitation is taken into account, the system has to be treated as a stochastic deferential equation. Depending on the level of simplification, an analytical solution is not practicable and numerical solution procedures have to be applied. The contribution presents a simple stochastic analysis of a particular resonance effect...