Confidence ellipses for simple regression parameters with strongly mixing errors

In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing errors.

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Veröffentlicht in:Filomat 2023, Vol.37 (2), p.591-613
Hauptverfasser: Elmoumen, Abdelkader, Zerouati, Halima, Dahmani, Abdelnasser
Format: Artikel
Sprache:eng
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Zusammenfassung:In this work, we establish exponential inequalities which allow us to construct confidence regions, characterized by ellipses, for the least squares estimates of the parameters in the case of a linear regression model with ?-mixing errors.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL2302591E