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Limit theorems for extremal residuals in a regression model with heavy tails of observation errors

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Publication:2923402
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DOI10.1090/S0094-9000-2014-00921-7zbMath1312.60070MaRDI QIDQ2923402

Ivan K. Matsak, Alexander V. Ivanov

Publication date: 15 October 2014

Published in: Theory of Probability and Mathematical Statistics (Search for Journal in Brave)


zbMATH Keywords

heavy tailslimit theoremslinear regression modelextremal residuals


Mathematics Subject Classification ID

Linear regression; mixed models (62J05) Extreme value theory; extremal stochastic processes (60G70) Limit theorems in probability theory (60F99)


Related Items (2)

Extreme residuals in regression model. Minimax approach ⋮ Minimax estimators of parameters of a regression model




Cites Work

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  • Extremes and related properties of random sequences and processes
  • Sur la distribution limite du terme maximum d'une série aléatoire
  • The Khintchine inequalities and martingale expanding sphere of their action
  • Moment Convergence of Sample Extremes
  • Regularly varying functions




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