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The business cycle has an importance in the popular debate which can tend to run ahead of the problems in measuring it. This paper provides a survey of the main statistical techniques that are used to measure the cycle. An application to the UK illustrates that the choice of what measure, or measures, to use is more than a dry academic issue. Inference about the business cycle is potentially sensitive to measurement. Fortunately, however, there is an element of consensus.

Standard-Nutzungsbedingungen:Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Zwecken und zum Privatgebrauch gespeichert und kopiert werden.Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich machen, vertreiben oder anderweitig nutzen.Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, gelten abweichend von diesen Nutzungsbedingungen die in der dort genannten Lizenz gewährten Nutzungsrechte. Terms of use: Documents in AbstractThis paper examines the ordinary least squares (OLS) estimator of the structural parameters in a class of stylised macroeconomic models in which agents are boundedly rational and use an adaptive learning rule to form expectations of the endogenous variable. The popularity of this type of model has recently increased amongst applied economists and policy makers who seek to estimate it empirically. Two prominent learning algorithms are considered, namely constant gain and decreasing gain learning. For each of the two learning rules, the analysis proceeds in two stages. First, the paper derives the asymptotic properties of agents' expectations. At the second stage, the paper derives the asymptotics of OLS in the structural model, taken the rst stage learning dynamics as given. In the case of constant gain learning, the structural model eectively amounts to a static, cointegrating or co-explosiveness regression. With decreasing gain learning, the regressors are asymptotically collinear such that OLS does not satisfy, in general, the Grenander conditions for consistent estimability. Nevertheless, this paper shows that the OLS estimator remains consistent in all models considered. It also shows, however, that its asymptotic distribution, and hence any inference based upon it, may be non-standard.

Recent estimates suggest that the UK business cycle is closer to the Eurozone business cycle than it was in the early 1990s. This paper investigates whether this phenomenon has been accompanied by increased correlation between UK and Eurozone business cycles. Considering a range of alternative measures of the business cycle we find, using 40 years of monthly industrial production data, no clear evidence for a sustained increase in correlation between UK and Eurozone business cycles. Instead, in the 1990s, the correlation between UK and Eurozone business cycles has been volatile relative to historical levels. It is only recently, i.e. since 1997, that the UK has become more correlated with the Eurozone, although the level of correlation is lower than against non-Eurozone countries. Importantly, the strength of these relationships is sensitive to how the business cycle is measured. Care should therefore be exercised when using business cycles estimates to test the relationship between UK and Eurozone business cycles.