Stochastic arithmetic: Addition and multiplication by scalars
Copyright policy )Stochastic arithmetic: Addition and multiplication by scalars
Stochastic numbers are defined as Gaussian random variables with known mean-value and standard deviation. Stochastic arithmetic is then seen as a set of operations on stochastic numbers. The paper under review is focused on addition and multiplication by scalars. Algebraic systems are modelled that represent stochastic arithmetics. Special attention is given to the distributive law of stochastic numbers so that a complete algebraic characterisation of such stochastic systems is possible.
- Sorbonne Université France
- LIP6 France
- Bulgarian Academy of Sciences Bulgaria
- Institute of Mathematics and Informatics Bulgaria
- Sorbonne University France
Standard deviations, Interval and finite arithmetic, Stochastic arithmetic, Stochastic numbers, Variances, S-space, [INFO] Computer Science [cs]
Standard deviations, Interval and finite arithmetic, Stochastic arithmetic, Stochastic numbers, Variances, S-space, [INFO] Computer Science [cs]
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