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SETAR model selection-A bootstrap approach
Authors:John Öhrvik  Gabriella Schoier
Institution:(1) Department of Medical Epidemiology and Biostatistics, Karolinska Institute, P.O. Box 281, SE-17177 Stockholm, Sweden;(2) Dipartimento di Scienze Economiche e Statistiche, Universitá di Trieste, Piazzale Europa 1, IT-34127 Trieste, Italy
Abstract:Summary  The aim of this paper is to propose new selection criteria for the orders of selfexciting threshold autoregressive (SETAR) models. These criteria use bootstrap methodology; they are based on a weighted mean of the apparent error rate in the sample and the average error rate obtained from bootstrap samples not containing the point being predicted. These new criteria are compared with the traditional ones based on the Akaike information criterion (AIC). A simulation study and an example on a real data set end the paper.
Keywords:Akaike information criterion  AR-sieve bootstrap  bootstrap model selection criteria  moving block bootstrap  self-exciting threshold autoregressive models  unbiased Akaike information criterion
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