Extreme residuals in regression model. Minimax approach

We obtain limit theorems for extreme residuals in linear regression model in the case of minimax estimation of parameters.

Bibliographic Details
Main Authors: Aleksander Ivanov, Ivan Matsak, Sergiy Polotskiy
Format: Article
Language:English
Published: VTeX 2015-10-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://vmsta.vtex.vmt/doi/10.15559/15-VMSTA40CNF
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spelling doaj-b0745b51f24c47dca37610059c528d162020-11-25T01:39:01ZengVTeXModern Stochastics: Theory and Applications2351-60462351-60542015-10-012329730810.15559/15-VMSTA40CNFExtreme residuals in regression model. Minimax approachAleksander Ivanov0Ivan Matsak1Sergiy Polotskiy2National Technical University of Ukraine “Kyiv Polytechnic Institute”, 37 Peremogy Ave., Kyiv, 03056, UkraineTaras Shevchenko National University of Kyiv, 4e Academician Glushkov Ave., Kyiv, 03127, UkraineTaras Shevchenko National University of Kyiv, 4e Academician Glushkov Ave., Kyiv, 03127, UkraineWe obtain limit theorems for extreme residuals in linear regression model in the case of minimax estimation of parameters.https://vmsta.vtex.vmt/doi/10.15559/15-VMSTA40CNFLinear regressionminimax estimatormaximal residual
collection DOAJ
language English
format Article
sources DOAJ
author Aleksander Ivanov
Ivan Matsak
Sergiy Polotskiy
spellingShingle Aleksander Ivanov
Ivan Matsak
Sergiy Polotskiy
Extreme residuals in regression model. Minimax approach
Modern Stochastics: Theory and Applications
Linear regression
minimax estimator
maximal residual
author_facet Aleksander Ivanov
Ivan Matsak
Sergiy Polotskiy
author_sort Aleksander Ivanov
title Extreme residuals in regression model. Minimax approach
title_short Extreme residuals in regression model. Minimax approach
title_full Extreme residuals in regression model. Minimax approach
title_fullStr Extreme residuals in regression model. Minimax approach
title_full_unstemmed Extreme residuals in regression model. Minimax approach
title_sort extreme residuals in regression model. minimax approach
publisher VTeX
series Modern Stochastics: Theory and Applications
issn 2351-6046
2351-6054
publishDate 2015-10-01
description We obtain limit theorems for extreme residuals in linear regression model in the case of minimax estimation of parameters.
topic Linear regression
minimax estimator
maximal residual
url https://vmsta.vtex.vmt/doi/10.15559/15-VMSTA40CNF
work_keys_str_mv AT aleksanderivanov extremeresidualsinregressionmodelminimaxapproach
AT ivanmatsak extremeresidualsinregressionmodelminimaxapproach
AT sergiypolotskiy extremeresidualsinregressionmodelminimaxapproach
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