Macroeconomics has a long tradition of inspecting and interpreting patterns in graphs of aggregate data. However, the move towards more precise quantification of macroeconomic phenomena has seen academics shift away from a study of turning points, which are a natural and obvious way of...

Procedures are developed to compute the proportion of turning points located in the sample path of time series data. It is shown that the proportion of turning points can be directly related to the data generating process. Methods for estimating model parameters are developed using counts of...