Journal of Applied Probability 34(1), pp. 288-291.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: The accountant Nigrini remarked that in tables of data distributed according to Benford's law, the sum of all elements with first digit d (d = 1, 2, … , 9) is approximately constant. In this note, a mathematical formulation of Nigrini's observation is given and it is shown that Benford's law is the unique probability distribution such that the expected sum of all elements with first digits d_{1}, … , d_{k} is constant for every fixed k.
Bibtex:
@article {MR1429075,
AUTHOR = {Allaart, Pieter C.},
TITLE = {An invariant-sum characterization of {B}enford's law},
JOURNAL = {J. Appl. Probab.},
FJOURNAL = {Journal of Applied Probability},
VOLUME = {34},
YEAR = {1997},
NUMBER = {1},
PAGES = {288--291},
ISSN = {0021-9002},
CODEN = {JPRBAM},
MRCLASS = {60E05},
MRNUMBER = {1429075 (98d:60029)},
MRREVIEWER = {Peter Schatte},
}
Reference Type: Journal Article
Subject Area(s): Probability Theory