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Inference in Autoregression under Heteroskedasticity

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Author Info
Peter C. B. Phillips
Ke-Li Xu

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Abstract

A scalar pth-order autoregression (AR(p)) is considered with heteroskedasticity of the unknown form delivered by a transition function of time. A limit theory is developed and three heteroskedasticity-robust test statistics are proposed for inference, one of which is based on the nonparametric estimation of the variance function. The performance of the resulting testing procedures in finite samples is compared in simulations and some suggestions for practical application are given. Copyright 2005 Blackwell Publishing Ltd.

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File URL: http://www.blackwell-synergy.com/doi/abs/10.1111/j.1467-9892.2005.00466.x
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Publisher Info
Article provided by Blackwell Publishing in its journal Journal of Time Series Analysis.

Volume (Year): 27 (2006)
Issue (Month): 2 (03)
Pages: 289-308
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Handle: RePEc:bla:jtsera:v:27:y:2006:i:2:p:289-308

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  1. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2008. "Testing for Co-integration in Vector Autoregressions with Non-Stationary Volatility," Discussion Papers 08-34, University of Copenhagen. Department of Economics. [Downloadable!]
    Other versions:
  2. Brendan K. Beare, 2008. "Unit Root Testing with Unstable Volatility," Economics Papers 2008-W06, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
  3. Ke-Li Xu & Peter C.B. Phillips, 2006. "Adaptive Estimation of Autoregressive Models with Time-Varying Variances," Cowles Foundation Discussion Papers 1585, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  4. Xu Cheng & Peter C. B. Phillips, 2009. "Cointegrating Rank Selection in Models with Time-Varying Variance," Cowles Foundation Discussion Papers 1688, Cowles Foundation, Yale University. [Downloadable!]
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This page was last updated on 2009-11-22.

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