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Volume 19, Issue 3, September 2020, Pages 342 - 351
EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes
Authors
Oksana Kubaychuk*, 
Institute of Physics and Technology, National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute», 37, Prosp. Peremohy, Kyiv, 03056, Ukraine
*Email: o.kubaichuk@kpi.ua
Corresponding Author
Oksana Kubaychuk
Received 24 April 2020, Accepted 27 July 2020, Available Online 8 September 2020.
- DOI
- 10.2991/jsta.d.200824.001How to use a DOI?
- Keywords
- Estimator; Multidimensional Bayesian threshold; Mixture with varying concentrations
- Abstract
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.
- Copyright
- © 2020 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Oksana Kubaychuk PY - 2020 DA - 2020/09/08 TI - EBC-Estimator of Multidimensional Bayesian Threshold in Case of Two Classes JO - Journal of Statistical Theory and Applications SP - 342 EP - 351 VL - 19 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.200824.001 DO - 10.2991/jsta.d.200824.001 ID - Kubaychuk2020 ER -