EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes

EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes

Some threshold-based classification rules in case of two classes are defined. In assumption, that a learning sample is obtained from a mixture with varying concentration, the empirical-Bayesian classification (EBC)-estimator of multidimensional Bayesian threshold is constructed. The conditions of co...

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Bibliographic Details
Main Author: Oksana Kubaychuk
Format: Article
Language:English
Published: Atlantis Press 2020-09-01
Series:Journal of Statistical Theory and Applications (JSTA)
Subjects:
Estimator
Multidimensional Bayesian threshold
Mixture with varying concentrations
Online Access:https://www.atlantis-press.com/article/125944507/view
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spelling doaj-3e065139e16946ccbff23dd1c301314d2020-11-25T01:59:39ZengAtlantis PressJournal of Statistical Theory and Applications (JSTA)2214-17662020-09-0119310.2991/jsta.d.200824.001EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two ClassesOksana KubaychukSome threshold-based classification rules in case of two classes are defined. In assumption, that a learning sample is obtained from a mixture with varying concentration, the empirical-Bayesian classification (EBC)-estimator of multidimensional Bayesian threshold is constructed. The conditions of convergence in probability of estimator are found.https://www.atlantis-press.com/article/125944507/viewEstimatorMultidimensional Bayesian thresholdMixture with varying concentrations
collection DOAJ
language English
format Article
sources DOAJ
author Oksana Kubaychuk
spellingShingle Oksana Kubaychuk
EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
Journal of Statistical Theory and Applications (JSTA)
Estimator
Multidimensional Bayesian threshold
Mixture with varying concentrations
author_facet Oksana Kubaychuk
author_sort Oksana Kubaychuk
title EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
title_short EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
title_full EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
title_fullStr EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
title_full_unstemmed EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
title_sort ebc-estimator of multidimensional bayesian threshold in case of two classes
publisher Atlantis Press
series Journal of Statistical Theory and Applications (JSTA)
issn 2214-1766
publishDate 2020-09-01
description Some threshold-based classification rules in case of two classes are defined. In assumption, that a learning sample is obtained from a mixture with varying concentration, the empirical-Bayesian classification (EBC)-estimator of multidimensional Bayesian threshold is constructed. The conditions of convergence in probability of estimator are found.
topic Estimator
Multidimensional Bayesian threshold
Mixture with varying concentrations
url https://www.atlantis-press.com/article/125944507/view
work_keys_str_mv AT oksanakubaychuk ebcestimatorofmultidimensionalbayesianthresholdincaseoftwoclasses
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