Scale invariant means and the first digit problem

dc.contributor.author	Renaud, P. F.
dc.date.accessioned	2015-10-27T22:09:01Z
dc.date.available	2015-10-27T22:09:01Z
dc.date.issued	1998	en
dc.description.abstract	It is a well established fact that in some circumstances, lists of what appear to be random numbers, show a striking non-uniform distribution of digits. In many instances, these numbers arise relative to a system of units. In such cases there is an underlying assumption of scale invariance, by which is meant that the choice of units may well be arbitrary. In this paper we consider the general problem of scale invariance from the point of view of certain means on suitable function spaces. This is then applied to give a simple explanation for the distribution of first significant digits.	en
dc.identifier.issn	1172-8531
dc.identifier.uri	http://hdl.handle.net/10092/11283
dc.language.iso	en
dc.publisher	University of Canterbury. Dept. of Mathematics	en
dc.relation.isreferencedby	NZCU	en
dc.rights	Copyright Peter Francis Renaud	en
dc.rights.uri	https://canterbury.libguides.com/rights/theses	en
dc.subject.anzsrc	Field of Research::01 - Mathematical Sciences::0101 - Pure Mathematics	en
dc.title	Scale invariant means and the first digit problem	en
dc.type	Reports
thesis.degree.grantor	University of Canterbury	en
thesis.degree.level	Research Report	en
thesis.degree.name	Research Report	en
uc.college	Faculty of Engineering	en

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