Simultaneous confidence bands for Yule–Walker estimators and order selection

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Simultaneous Confidence Bands for Yule–walker Estimators and Order Selection by Moritz Jirak

Let {Xk, k ∈ Z} be an autoregressive process of order q. Various estimators for the order q and the parameters q = (θ1, . . . , θq) are known; the order is usually determined with Akaike’s criterion or related modifications, whereas Yule–Walker, Burger or maximum likelihood estimators are used for the parameters q . In this paper, we establish simultaneous confidence bands for the Yule–Walker e...

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ژورنال

عنوان ژورنال: The Annals of Statistics

سال: 2012

ISSN: 0090-5364

DOI: 10.1214/11-aos963