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  5. Volume 5, Issue 2 (2018): Testas Special Issue 2026
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Modern Stochastics: Theory and Applications

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Large deviations of regression parameter estimator in continuous-time models with sub-Gaussian noise
Volume 5, Issue 2 (2018): Testas Special Issue 2026, pp. 191–206
Alexander V. Ivanov ORCID icon link to view author Alexander V. Ivanov details   Igor V. Orlovskyi ORCID icon link to view author Igor V. Orlovskyi details  

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https://doi.org/10.15559/18-VMSTA102
Pub. online: 7 May 2018      Type: Research Article      Open accessOpen Access

Received
31 January 2018
Revised
19 April 2018
Accepted
22 April 2018
Published
7 May 2018

Abstract

A continuous-time regression model with a jointly strictly sub-Gaussian random noise is considered in the paper. Upper exponential bounds for probabilities of large deviations of the least squares estimator for the regression parameter are obtained.

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Keywords
Continuous-time nonlinear regression jointly strictly sub-Gaussian noise least squares estimator probabilities of large deviations

MSC2010
60G50 (primary) 65B10 (primary) 60G15 (primary) 40A05 (secondary)

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