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What does cointegration mean?

Looking for the meaning or definition of the word cointegration? Here's what it means.

Noun
  1. (mathematics) The condition of two non-stationary time series whose linear combination is stationary
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Some do investigate the nonstationarity properties but then imply the Granger Causality Tests using simple VAR or VECM or Johansen-Juselius cointegration procedures.
Testing for cointegration involves testing the residuals from an OLS regression for stationarity.
The advantage of the cointegration approach is that it allows one to integrate the long-run and short-run relationships between variables within a unified framework.
As an addendum to the cointegration tests, we also estimated error correction models for the American League hit batter data both in levels and in rates.

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