Advances and Applications in Statistics, 36, pp. 119-130.
ISSN/ISBN: Not available at this time. DOI: Not available at this time.
Abstract: The scope of this paper is twofold. First, to emphasize the use of the mod 1 map in exploring the digit distribution of random variables. We show that the well-known base- and scale-invariance of Benford variables are consequences of their associated mod 1 density functions being uniformly distributed. Second, to introduce a new concept of the n-digit Benford variable. Such a variable is Benford in the first ndigits, but it is not guaranteed to have a logarithmic distribution beyond the nth digit. We conclude the paper by giving a general construction method for n-digit Benford variables, and provide a concrete example.
Bibtex:
@article{,
title={n-digit Benford distributed random variables},
author={Khosravani, Azar and Rasinariu, Constantin},
url-={http://arxiv.org/pdf/1304.8036v2.pdf},
journal={Advances and Applications in Statistics},
volume={36},
year={2013},
pages={119--130},
}
Reference Type: Journal Article
Subject Area(s): Probability Theory