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Wild bootstrap tests for autocorrelation in vector autoregressive models

Niklas Ahlgren () and Paul Catani
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Niklas Ahlgren: Hanken School of Economics

Statistical Papers, 2017, vol. 58, issue 4, No 11, 1189-1216

Abstract: Abstract Tests for error autocorrelation (AC) are derived under the assumption of independent and identically distributed errors. The tests are not asymptotically valid if the errors are conditionally heteroskedastic. In this article we propose wild bootstrap (WB) Lagrange multiplier tests for error AC in vector autoregressive (VAR) models. We show that the WB tests are asymptotically valid under conditional heteroskedasticity of unknown form. WB tests based on a version of the heteroskedasticity-consistent covariance matrix estimator are found to have the smallest error in rejection probability under the null and high power under the alternative. We apply the tests to VAR models for credit default swap prices and Euribor interest rates. An important result that we find is that the WB tests lead to parsimonious models while the asymptotic tests suggest that a long lag length is required to get white noise residuals.

Keywords: Autocorrelation; Conditional heteroskedasticity; Heteroskedasticity-consistent covariance matrix estimator; Lagrange multiplier test; Vector autoregressive model; Wild bootstrap; 62F40; 62M10; 62P20; 91G70 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s00362-016-0744-0

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