The almost ideal demand system is used as a representation of long run demands in discrete time and continuous time error correction models to produce forecasts of budget shares beyond the sample period. The estimated models are subjected to a battery of tests, and an analysis of the forecasts indicates that continuous time adjustment mechanisms, based around fully modified estimates of the long run preference parameters, provide a remarkably accurate method of forecasting budget shares.
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Chambers et al. (1997) studied this question.
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