A COMPANION TO Theoretical Econometrics

Forecasting with leading economic indicators

Forecasting with leading economic indicators entails drawing upon a large number of time series variables that, by various means, have been ascertained to lead the variable of interest, typically taken to be aggregate output (the business cycle). The first set of leading economic indicators was developed as part of the business cycle research program at the National Bureau of Economic Research, and was published by Mitchell and Burns (1938). More recent works using this general approach include Stock and Watson (1989) and the papers in Moore and Lahiri (1991).

The use of many variables and little theory has the exciting potential to exploit relations not captured in small multivariate time series models. It is, however, particularly susceptible to overfitting within sample. For example, Diebold and Rudebusch (1991) found that although historical values of the Index of Leading Economic Indicators (then maintained by the US Department of Commerce) fits the growth in economic activity well, the real time, unrevised index has limited predictive content for economic activity. This seeming contradiction arises primarily from periodic redefinitions of the index. Their sobering finding under­scores the importance of properly understanding the statistical properties of each stage of a model selection exercise. The development of methods for exploiting large sets of leading indicators without overfitting is an exciting area of ongoing research.

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A COMPANION TO Theoretical Econometrics

Normality tests

Let us now consider the fundamental problem of testing disturbance normality in the context of the linear regression model: Y = Xp + u, (23.12) where Y = (y1, ..., …

Univariate Forecasts

Univariate forecasts are made solely using past observations on the series being forecast. Even if economic theory suggests additional variables that should be useful in forecasting a particular variable, univariate …

Further Research on Cointegration

Although the discussion in the previous sections has been confined to the pos­sibility of cointegration arising from linear combinations of I(1) variables, the literature is currently proceeding in several interesting …

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