Annals of Probability 5(1), pp. 72-81.
ISSN/ISBN: 0091-1798 DOI: Not available at this time.
Abstract: The lead digit behavior of a large class of arithmetic sequences is determined by using results from the theory of uniform distribution mod 1. Theory for triangular arrays is developed and applied to binomial coefficients. A conjecture of Benford's that the distribution of digits in all places tends to be nearly uniform is verified.
Bibtex:
@article {,
AUTHOR = {Diaconis, Persi},
TITLE = {The distribution of leading digits and uniform distribution
{${\rm mod}$} {$1$}},
JOURNAL = {Ann. Probability},
VOLUME = {5},
YEAR = {1977},
NUMBER = {1},
PAGES = {72--81},
MRCLASS = {10K10 (10K05 60F05)},
MRNUMBER = {0422186 (54 \#10178)},
MRREVIEWER = {M. Mendes France},
}
Reference Type: Journal Article
Subject Area(s): Analysis, Probability Theory