Scientific journal paper Q1
The effects of temporal aggregation on MIDAS regressions
Luís Martins (Martins, L.); Paulo Teles (Teles, P.);
Journal Title
Journal of Business and Economic Statistics
Year (definitive publication)
N/A
Language
English
Country
United Kingdom
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Abstract
Time series used in practice are often temporal aggregates. A MIDAS regression model may be fitted wrongly assuming the independent variables are not aggregated when in fact they are. We derive the correct model’s specification under temporal aggregation of the independent variables, thus identifying the correct number of dynamic terms and the order of the MA component. We also show that these depend on the frequency of the variables and the aggregation order used. As a result, the three alternative estimators considered are asymptotically biased and it is possible to rank them according to their bias in some cases. Our results are also confirmed by Monte Carlo experiments and are illustrated with an empirical application.
Acknowledgements
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Keywords
Aggregate model,Asymptotic bias,MIDAS regression,Overlapping sums,Temporal aggregation
  • Mathematics - Natural Sciences
  • Economics and Business - Social Sciences
  • Sociology - Social Sciences
  • Other Social Sciences - Social Sciences
Funding Records
Funding Reference Funding Entity
UIDB/00315/2020 Fundação para a Ciência e a Tecnologia