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Boundary Effects in Multivariate Data
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...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Dimensionality Reduction and Classification using the Distribution Mapping Exponent
Probability distribution mapping function, which maps multivariate data distribution to the function of one variable, is introduced. Distribution-mapping exponent. The method forclassification of multi...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Classification of Multivariate data Using Distribution Mapping Exponent.
We introduce distribution-mapping exponent that is something like effective dimensionality of multidimensional space. The method for classification of multivariate data is based on local estimate of distribution ma...
BA - Obecná matematika
- 2003 •
- D
Rok uplatnění
D - Stať ve sborníku
Distribution Mapping Exponent for Multivariate Data Classification
Distribution-mapping exponent (DME) that is something like effective dimensionality of multidimensional space is introduced. The method for classification of multivariate data is based on local estimate of distribution<...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
R package for estimation of uni- and multivariate distributions using normal mixtures, with possibility of having interval-censored data
The present paper introduces R package mixAK which is designed to estimate uni- and multivariate density. At the same time, the data are allowed to be censored. The estimation proceeds using the MCMC method and the normal mixture mo...
BB - Aplikovaná statistika, operační výzkum
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Testing exchangeability of multivariate distributions
exchangeability, i.e. bivariate symmetry for bivariate distributions, the literature is void of tests whether a multivariate distribution with more than two dimensions of multivariate distributions are pr...
Statistics and probability
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Local Estimate of Distribution Mapping Exponent for Classification of Multivariate Data
The method proposed is based on notion of distribution mapping exponent and its local estimate q for each point. It is shown that the sum of reciprocals of q-th power of distances can be used as the probability density estimate. The classifi...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
Common Multivariate Estimators of Location and Scatter Capture the Symmetry of the Underlying Distribution
of the multivariate data. For this task, we propose to perform permutation tests exploitingThe article discusses how various multivariate location and scatter estimators capture the symmetry of the underlying distribut...
Statistics and probability
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Common Multivariate Estimators of Location and Scatter Capture the Symmetry of the Underlying Distribution
of the multivariate data. For this task, we propose to perform permutation tests exploitingThe article discusses how various multivariate location and scatter estimators capture the symmetry of the underlying distribut...
Statistics and probability
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Boundary Phenomenon in Multivariate Data
In this paper we show some strange features of multidimensional data and their influence on classification. We introduce the probability distribution mapping function, and the distribution density mapping function which map...
BA - Obecná matematika
- 2004 •
- D
Rok uplatnění
D - Stať ve sborníku
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