Power variation and time change

O. E. Barndorff-Nielsen ; N. Shephard

Teoriâ veroâtnostej i ee primeneniâ, Tome 50 (2005) no. 1, pp. 115-130

Résumé

This paper provides limit distribution results for power variation, that is, sums of powers of absolute increments under nonequidistant subdivisions of time and 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.

Détail

Keywords: power variation, realized variance, semimartingales, stochastic volatility, time change.
Mots-clés : $r$-variation

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