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Phillips and Hansen [37] proposed a semi parametric correction for the problem of long run correlation among cointegrating equation and stochastic regressors innovations resulting in FMOLS estimators.
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The ECB still formally rests part of its policy on the long-run correlation between broad-money growth and inflation.
The alternative specification (Eq. 6bis) does not distinguish between short-run and long-run correlation, and as far as the latter are concerned, these are in line with the estimates obtained from the first specification.
Auto-correlation or long run memory, however may be obtained in several manners.
Over the long run, they have had a statistically significant correlation to the outcome of the next general election.
The FMOLS estimator is derived by making endogeneity correction (by modifying variable HCE i,t ) and serial correlation correction (by modifying long run covariance of innovation vector, w i,t ).
We use this approach to decompose the total correlations into short- (daily) and long-run (quarterly) correlations for the period from 1999 to 2011.
But history suggests there is very little correlation between GDP growth and equity returns over the long run (see this paper from Jay Ritter, for example).
The current work has examined the existence of long run relationship between health care expenditure and income using a panel cointegration technique which is robust against cross sectional correlation and panel heterogeneity along with conventional panel cointegration test.
A long run.
Or long run, anyway.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com