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On the Existence of the Moments of the Asymptotic Trace Statistic

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Author Info
Deniz Dilan Karaman Örsal
Bernd Droge

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Abstract

In this note we establish the existence of the first two moments of the asymptotic trace statistic, which appears as weak limit of the likelihood ratio statistic for testing the cointe- gration rank in a vector autoregressive model and whose moments may be used to develop panel cointegration tests. Moreover, we justify the common practice to approximate these moments by simulating a certain statistic, which converges weakly to the asymptotic trace statistic. To accomplish this we show that the moments of the mentioned statistic converge to those of the asymptotic trace statistic as the time dimension tends to infinity.

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Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2009-012.

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Length: 10 pages
Date of creation: Feb 2009
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Handle: RePEc:hum:wpaper:sfb649dp2009-012

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Related research
Keywords: Cointegration; Trace statistic; Asymptotic moments; Uniform integrability;

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Find related papers by JEL classification:
C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions
C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Jan J.J. Groen & Frank R. Kleibergen, 1999. "Likelihood-Based Cointegration Analysis in Panels of Vector Error Correction Models," Tinbergen Institute Discussion Papers 99-055/4, Tinbergen Institute. [Downloadable!]
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  1. Bernd Droge & Deniz Dilan Karaman Örsal, 2009. "Panel Cointegration Testing in the Presence of a Time Trend," SFB 649 Discussion Papers SFB649DP2009-005, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany. [Downloadable!]
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This page was last updated on 2009-11-25.

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