Regular sets and conditional density: an extension of Benford's law

Rita Giuliano Antonini; Georges Grekos

Colloquium Mathematicae (2005)

  • Volume: 103, Issue: 2, page 173-192
  • ISSN: 0010-1354

Abstract

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We give an extension of Benford's law (first digit problem) by using the concept of conditional density, introduced by Fuchs and Letta. The main tool is the notion of regular subset of integers.

How to cite

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Rita Giuliano Antonini, and Georges Grekos. "Regular sets and conditional density: an extension of Benford's law." Colloquium Mathematicae 103.2 (2005): 173-192. <http://eudml.org/doc/284153>.

@article{RitaGiulianoAntonini2005,
abstract = {We give an extension of Benford's law (first digit problem) by using the concept of conditional density, introduced by Fuchs and Letta. The main tool is the notion of regular subset of integers.},
author = {Rita Giuliano Antonini, Georges Grekos},
journal = {Colloquium Mathematicae},
keywords = {asymptotic density; logarithmic density; conditional density; regular set; regular varying function; Benford's law; first digit problem},
language = {eng},
number = {2},
pages = {173-192},
title = {Regular sets and conditional density: an extension of Benford's law},
url = {http://eudml.org/doc/284153},
volume = {103},
year = {2005},
}

TY - JOUR
AU - Rita Giuliano Antonini
AU - Georges Grekos
TI - Regular sets and conditional density: an extension of Benford's law
JO - Colloquium Mathematicae
PY - 2005
VL - 103
IS - 2
SP - 173
EP - 192
AB - We give an extension of Benford's law (first digit problem) by using the concept of conditional density, introduced by Fuchs and Letta. The main tool is the notion of regular subset of integers.
LA - eng
KW - asymptotic density; logarithmic density; conditional density; regular set; regular varying function; Benford's law; first digit problem
UR - http://eudml.org/doc/284153
ER -

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