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autocorrel
2009 May 20
1
stationarity tests
...ing I am citing some definitions. I would appreciate your thoughts.
ACF(k) estimates the correlation between y(t) and y(t-k) like an ordinary correlation coefficient.
ACF is the simple ( i.e. unconditional ) correlation between a time series and it's lags thus
y(t)=a+b*y(t-k) gnerates the kth autocoreelation coefficient (b).
If we have form y(t)=a+b*y(t-1)+c*y(t-2) .. then (c) is the PARTIAL AUTOCORRELATION COEFFFICIENT or in other words the
CONDITIONAL CORRELATION of lag 2 given lag1
PACF(k) estimates the correlation between y(t) and y(t-k) adjusted for the effects of y(t-1), ..., y(t-k+1).
Mo...