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Repository of the Czech Academy of Sciences
Article . 2005
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Boundary Effects in Multivariate Data

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2005 English
Authors: Jiřina, M. (Marcel); Jiřina jr., M.;

handle: 11104/0125682

Boundary Effects in Multivariate Data

Abstract

The paper deals with the nature of multivariate data space. We show that for a uniform distribution of points in an n-dimensional Euclidean space the distribution of the distance of the i-th nearest neighbor to the n-power has Erlang distribution. Some features of such observation are drawn and a suggestion on how to compensate for the data spacious deformation is shown.

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Keywords

multivariate data, distribution mapping exponent, boundary effects

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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