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Applied Econometrics

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Diagnostics of ARIMA models<br />

● Resulting residuals should be white noise<br />

● White noise:<br />

=> zero mean and no autocorrelations, thus<br />

Ljung-Box statistics or Portmanteau statistics<br />

insignificant and ACF and PACF bars within<br />

„bands“ - 95% confidence intervals, that the<br />

true value equals zero, usually approximated as<br />

+/- 2/√T.<br />

● Information criteria: to find the best in the tradeoff<br />

between parsimony and R-sq.

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