Communications of the ACM 17(5), 269-271.
ISSN/ISBN: 0001-0782 DOI: 10.1145/360980.360998
Abstract: A generalized logarithmic law is derived for the distribution of the first t significant digits of a random digital integer. This result is then used to determine the distribution of the roundoff errors in floating-point operations, which is a mixture of uniform and reciprocal distributions
Bibtex:
@article{,
title={On the distributions of significant digits and roundoff errors},
author={Tsao, Nai-Kuan},
journal={Communications of the ACM},
volume={17},
number={5},
pages={269--271},
year={1974},
publisher={ACM},
doi={10.1145/360980.360998},
}
Reference Type: Journal Article
Subject Area(s): Analysis, Numerical Analysis