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Size corrected Significance Tests in Seemingly Unrelated Regressions with Autocorrelated Errors

Symeonides Spyridon D. (), Yiannis Karavias and Elias Tzavalis
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Symeonides Spyridon D.: Department of Economics, University of Ioannina, Ioannina 455 00, Greece

Journal of Time Series Econometrics, 2017, vol. 9, issue 1, 41

Abstract: Refined asymptotic methods are used to produce degrees-of-freedom- adjusted Edgeworth and Cornish-Fisher size corrections of the t and F testing procedures for the parameters of a S.U.R. model with serially correlated errors. The corrected tests follow the Student-t and F distributions, respectively, with an approximation error of order Oτ3$$O\left({{\tau ^3}} \right)$$, where τ=1/T$$\tau = 1/\sqrt T $$ and T is the number of time observations. Monte Carlo simulations provide evidence that the size corrections suggested hereby have better finite sample properties, compared to the asymptotic testing procedures (either standard or Edgeworth corrected), which do not adjust for the degrees of freedom.

Keywords: linear regression; S.U.R. models; stochastic expansions; asymptotic approximations; AR(1) errors (search for similar items in EconPapers)
JEL-codes: C12 D24 (search for similar items in EconPapers)
Date: 2017
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Working Paper: Size corrected significance tests in Seemingly Unrelated Regressions with autocorrelated errors (2014) Downloads
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DOI: 10.1515/jtse-2015-0014

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