Template-type: ReDIF-Paper 1.0 Author-Name: Ole E. Barndorff-Nielsen Author-Email: oebn@imf.au.dk Author-Workplace-Name:University of Aarhus Author-Name: Neil Shephard Author-Email: neil.shephard@nuffield.ox.ac.uk Author-Workplace-Name:Nuffield College, University of Oxford Title: Power Variation and Time Change Abstract: This paper provides limit distribution results for power variation, that is sums of powers of absolute increments, for certain types of time-changed Brownian motion and $\alpha $-stable processes. Special cases of these processes are stochastic volatility models used extensively in financial econometrics. Keywords: Power variation, r-variation, Realised variance, Semimartingales, Stochastic volatility, Time-change. Length:22 pages Creation-Date: 2002-12-16 Number:2002-W24 File-URL: http://www.nuff.ox.ac.uk/economics/papers/2002/w24/pvtc.pdf File-Format: application/pdf Handle: RePEc:nuf:econwp:0224