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S. K. Mitra, Swapna Banerjee. On the Probability Distribution of Round-off Errors Propagated in Tabular Differences. Australian Computer Journal, 3(2):60-68, ...
Measured probability distribution of rounding errors of precision round-up rule for the minimal significand thresholds 0, 1, 2, 4, and 8 respectively.
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In any prolonged computation it is generally assumed that the accumulated effect of roundoff errors is in some sense statistica I.
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Regarding round-off errors as random is often a necessary simplification to describe their behavior. Assuming, in addition, the symmetry of their ...
2021/05/28 · Advisor: Ilse C.F. Ipsen1. Abstract. We propose probabilistic models to bound the forward error in the numerically computed sum of a vector ...
Random, or indeterminate, errors can never be totally eliminated and are often the major source of uncertainty in a determination.
On the Probability Distribution of Round-off Errors Propagated in Tabular Differences. Aust. Comput. J. 3(2): 60-68 (1971). [+][–]. 1960 – 1969. FAQ. see FAQ.
It is even possible that round-off error in your equipment could contribute a significant part of the difference between the "true" and observed values of your ...
ABSTRACT. A bound on the relative error in floating-point addition using a single-precision accumu- lator with guard digits is derived.