Palgrave Handbook of Econometrics: Applied Econometrics

292 Investigating Economic Trends and Cycles Whenτ=0, this becomes an ordinary sinc function that is a continuous function oft, ...

D.S.G. Pollock 293 0.00 0.05 0.10 0.15 –0.05 –0.1 1960 1970 1980 1990 2000 Figure 6.16 The residuals from fitting a polynomial o ...

294 Investigating Economic Trends and Cycles 0 0.0002 0.0004 0.0006 0 π/ 4 π/ 2 3 π/ 4 π Figure 6.18 The periodogram of the sub- ...

D.S.G. Pollock 295 from a period that was characterized by uninterrupted economic growth at annual rates that varied little. The ...

296 Investigating Economic Trends and Cycles The coefficients of the corresponding time-domain filter are obtained by applying a ...

D.S.G. Pollock 297 0 0.25 0.50 0.75 1.00 1.25 0 π/ 4 π/ 2 3 π/ 4 π Figure 6.19 The frequency response of the truncated bandpass ...

298 Investigating Economic Trends and Cycles Given a sampley 0 ,y 1 ,...,yT− 1 ofTdata points, onlyT− 2 qprocessed values xq,xq+ ...

D.S.G. Pollock 299 0.00 0.05 0.10 –0.05 –0.1 –0.15 1960 1970 1980 1990 2000 Figure 6.20 A filtered sequence obtained by applying ...

300 Investigating Economic Trends and Cycles should be equal at the joints, which are described as the knots or the nodes. Break ...

D.S.G. Pollock 301 10 11 12 13 1875 1900 1925 1950 1975 2000 Figure 6.21 The annual series of the logarithms of real GDP in the ...

302 Investigating Economic Trends and Cycles of 5. Elsewhere, it has been given a high value of 100,000, which results in trend ...

D.S.G. Pollock 303 An opinion to which we adhere in this chapter is that the trend is best regarded as an analytic device, as op ...

304 Investigating Economic Trends and Cycles been widely adopted by governmental statistical offices, but which often reaches do ...

D.S.G. Pollock 305 The equivalent filter in the time domain is a wrapped or circular filter. Whereas such filters avoid the leak ...

306 Investigating Economic Trends and Cycles Gómez V. and A. Maravall (1996)Programs TRAMO and SEATS – Instructions for the User ...

D.S.G. Pollock 307 Pollock, D.S.G. (2003a) Sharp filters for short sequences.Journal of Statistical Inference and Planning 113 , ...

7 Economic Cycles: Asymmetries, Persistence, and Synchronization Joe Cardinale and Larry W. Taylor Abstract Marking upswings and ...

Joe Cardinale and Larry W. Taylor 309 7.6 The shape of cycles 325 7.6.1 Durations 327 7.6.2 Amplitudes 327 7.6.3 Cumulative gain ...

310 Economic Cycles 7.2 Marking time One important distinction between microeconometric and macroeconometric event studies lies ...

Joe Cardinale and Larry W. Taylor 311 statistics that directly address the ability of a model to replicate business cycle charac ...