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Consistency of Araike's information criterion for infinite variance autoregressive processes

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Publication:1120236
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DOI10.1214/aos/1176347145zbMath0672.62092OpenAlexW2003702789MaRDI QIDQ1120236

Keith Knight

Publication date: 1989

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176347145


zbMATH Keywords

consistencyinfinite varianceAkaike's information criterionautoregressionsdomain of attraction of a stable law


Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Stationary stochastic processes (60G10)


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Maximum likelihood estimation for \(\alpha \)-stable autoregressive processes ⋮ Regularization and variable selection for infinite variance autoregressive models ⋮ Analysis of autoregressive models with symmetric stable innovations ⋮ Consistent estimation and order selection for nonstationary autoregressive processes with stable innovations ⋮ Model identification for infinite variance autoregressive processes ⋮ On the underfitting and overfitting sets of models chosen by order selection criteria.



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