On roundoff error distributions in floating point and logarithmic arithmetic

DOI10.1007/BF02251833zbMath0556.65036OpenAlexW90649232MaRDI QIDQ761018

E. H. Bareiss, Jesse L. Barlow

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02251833

zbMATH Keywords

comparisonroundoff errorsinner productsfloating point arithmeticsumsProbabilistic modelserror confidence intervalslogarithmic arithmetic

Mathematics Subject Classification ID

Roundoff error (65G50)

Related Items (8)

On a law of the iterated logarithm for sums mod 1 with application to Benford's law ⋮ Overflow and underflow in multiplication and division ⋮ A basic theory of Benford's law ⋮ First digit law from Laplace transform ⋮ Probabilistic Error Analysis for Inner Products ⋮ Number shortening algorithms ⋮ Gradual and tapered overflow and underflow: A functional differential equation and its approximation ⋮ Remarks on Gödel’s code as a hash function

Cites Work

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• The Distribution of Leading Significant Digits
• Convergence Estimates for the Distribution of Trailing Digits
• On the Probability that a Random Integer has Initial Digit A
• On the Distribution of First Significant Figures
• On the Distribution of Numbers

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