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Communication Dans Un Congrès Année : 2000

On the algebraic properties of stochastic arithmetic

René Alt
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Svetoslav Markov
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Résumé

Interval arithmetic and stochastic arithmetic have been both developed for the same purpose, i. e. to control errors coming from floating point arithmetic of computers. Interval arithmetic delivers guaranteed bounds for numerical results whereas stochastic arithmetic provides confidence intervals with known probability. The algebraic properties of stochastic arithmetic are studied with an emphasis on the structure of the set of stochastic numbers. Some new properties of stochastic numbers are obtained based on the comparison with interval arithmetic in midpoint-radius form.
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Dates et versions

hal-01573092 , version 1 (08-08-2017)

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René Alt, Svetoslav Markov. On the algebraic properties of stochastic arithmetic. Scientific Computing, Validated Numerics, Interval Methods, Sep 2000, Karlsruhe, Germany. pp.331-341, ⟨10.1007/978-1-4757-6484-0_27⟩. ⟨hal-01573092⟩
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