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Notes And Problems A General Bound For The Limiting Distribution Of Breitung'S Statistic

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Author Info
Davidson, James
Magnus, Jan R.
Wiegerinck, Jan

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Abstract

We consider the Breitung (2002, Journal of Econometrics 108, 343 n, which provides a nonparametric test of the I(1) hypothesis. If n as n , we prove (Theorem 1) that 0 2, a result that holds under any assumption on the underlying random variables. The result is a special case of a more general result (Theorem 3), which we prove using the so-called cotangent method associated with Cauchy's residue theorem.

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Publisher Info
Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 24 (2008)
Issue (Month): 05 (October)
Pages: 1443-1455
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Handle: RePEc:cup:etheor:v:24:y:2008:i:05:p:1443-1455_08

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