On Benford's law to variable base

P. Schatte

Statistics & Probability Letters, 1998, vol. 37, issue 4, 391-397

Abstract: Benford's law is studied in dependence on the base b> 1. It can hold to large bases b only approximately. The quality of approximation is estimated in cases of products and sums of random variables, respectively, and in case of some deterministic sequences. Always the approximation by Benford's law becomes worse as b --> [infinity], but as a rule also as b --> 1 + 0.

Keywords: First-digit; problem; Benford's; law; Mantissa; distribution; Products; of; random; variables; Sums; of; random; variables; Discrepancy (search for similar items in EconPapers)
Date: 1998
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0167-7152(97)00142-9
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:37:y:1998:i:4:p:391-397

Ordering information: This journal article can be ordered from
http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul

More articles in Statistics & Probability Letters from Elsevier
Bibliographic data for series maintained by Catherine Liu ().