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Mixed Normal Inference On Multicointegration

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  • Boswijk, H. Peter

Abstract

Asymptotic likelihood analysis of cointegration in I (2) models (see Johansen, 1997, 2006; Boswijk, 2000; Paruolo, 2000) has shown that inference on most parameters is mixed normal, implying hypothesis test statistics with an asymptotic χ 2 null distribution. The asymptotic distribution of the multicointegration parameter estimator so far has been characterized by a Brownian motion functional, which has been conjectured to have a mixed normal distribution, based on simulations. The present note proves this conjecture.

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  • Boswijk, H. Peter, 2010. "Mixed Normal Inference On Multicointegration," Econometric Theory, Cambridge University Press, vol. 26(05), pages 1565-1576, October.
  • Handle: RePEc:cup:etheor:v:26:y:2010:i:05:p:1565-1576_00
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    1. repec:gam:jecnmx:v:5:y:2017:i:2:p:19-:d:98597 is not listed on IDEAS
    2. David I. Stern, 2004. "A Multicointegration Model of Global Climate Change," Rensselaer Working Papers in Economics 0406, Rensselaer Polytechnic Institute, Department of Economics.
    3. Paolo Paruolo & Rocco Mosconi, 2010. "Identification of cointegrating relations in I(2) vector autoregressive models," Economics and Quantitative Methods qf1007, Department of Economics, University of Insubria.
    4. Mosconi, Rocco & Paruolo, Paolo, 2014. "Rank and order conditions for identification in simultaneous system of cointegrating equations with integrated variables of order two," MPRA Paper 53589, University Library of Munich, Germany.

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