A fundamental bias in calculating dimensions from finite data sets
type: Item
instance of: scholarly article
title: A fundamental bias in calculating dimensions from finite data sets
zbMATH Open document ID: 0963.37078
DOI: 10.1016/S0167-2789(00)00050-6
author: Satoshi Kitoh
author: Mahito Kimura
author: Takao Mori
author: Kenji Takezawa
author: Shunkichi Endo
published in: Physica D
publication date: 2001-07-05T00:00:00Z
Mathematics Subject Classification ID: 37M10
Mathematics Subject Classification ID: 37C45
Mathematics Subject Classification ID: 37A25
Mathematics Subject Classification ID: 37N25
Mathematics Subject Classification ID: 92C55
zbMATH DE Number: 1496069
zbMATH Keywords: fractal dimension
zbMATH Keywords: finite data set
zbMATH Keywords: pointwise scaling
zbMATH Keywords: bias
zbMATH Keywords: EEG
MaRDI profile type: Publication
cites work: Measuring the strangeness of strange attractors
cites work: The Claude Bernard Lecture, 1989 - Deterministic chaos: the science and the fiction
cites work: Fundamental limitations for estimating dimensions and Lyapunov exponents in dynamical systems
cites work: Estimating dimension from small samples
cites work: Q4740120
cites work: Q4039736
cites work: The infinite number of generalized dimensions of fractals and strange attractors
cites work: Testing for nonlinearity in time series: the method of surrogate data
full work available at URL: s0167-2789(00)00050-6
OpenAlex ID: W2033840411
Recommended article: Estimating dimension from small samples
Recommended article: The statistical properties of dimension calculations using small data sets
Recommended article: The curse of dimensionality -- a challenge for mathematical statistics
Recommended article: Some results on the curse of dimensionality and sample size recommendations
Recommended article: Impacts of high dimensionality in finite samples
Recommended article: An axiomatic approach to intrinsic dimension of a dataset
description: scientific article; zbMATH DE number 1496069