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Power Variation and Time Change

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Author Info
Ole E. Barndorff-Nielsen () (University of Aarhus)
Neil Shephard () (Nuffield College, University of Oxford)

Additional information is available for the following registered author(s):

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.

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File URL: http://www.nuff.ox.ac.uk/economics/papers/2002/w24/pvtc.pdf
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Publisher Info
Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number 2002-W24.

Download reference. The following formats are available: HTML, plain text, BibTeX, RIS (EndNote), ReDIF
Length: 22 pages
Date of creation: 16 Dec 2002
Date of revision:
Handle: RePEc:nuf:econwp:0224

Contact details of provider:
Web page: http://www.nuff.ox.ac.uk/economics/

For technical questions regarding this item, or to correct its listing, contact: (Catherine McNeill).

Related research
Keywords: Power variation r-variation Realised variance Semimartingales Stochastic volatility Time-change.

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Ole E. Barndorff-Nielsen & Neil Shephard, 2001. "Econometric Analysis of Realised Covariation: High Frequency Covariance, Regression and Correlation in Financial Economics," Economics Papers 2002-W13, Economics Group, Nuffield College, University of Oxford, revised 18 Mar 2002. [Downloadable!]
    Other versions:
  2. Ole E. Barndorff-Nielsen & Neil Shephard, 2001. "Non-Gaussian Ornstein-Uhlenbeck-based models and some of their uses in financial economics," Journal Of The Royal Statistical Society Series B, Royal Statistical Society, vol. 63(2), pages 167-241. [Downloadable!] (restricted)
  3. Neil Shephard, 2005. "Stochastic Volatility," Economics Papers 2005-W17, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Ole E. Barndorff-Nielsen & Neil Shephard, 2003. "Econometrics of testing for jumps in financial economics using bipower variation," Economics Papers 2003-W21, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
    Other versions:
  2. Golosnoy, Vasyl & Herwartz, Helmut, 2007. "Semiparametric Approaches to the Prediction of Conditional Correlation Matrices in Finance," Economics working papers 2007,23, Christian-Albrechts-University of Kiel, Department of Economics. [Downloadable!]
  3. Jeannette H.C. Woerner, 2003. "Purely discontinuous Levy processes and power variation: inference for integrated volatility and the scale parameter," OFRC Working Papers Series 2003mf08, Oxford Financial Research Centre. [Downloadable!]
  4. Michael McAleer & Marcelo Cunha Medeiros, 2006. "Realized volatility: a review," Textos para discussão 531 Publication status: F, Department of Economics PUC-Rio (Brazil). [Downloadable!]
    Other versions:
  5. Jeannette H.C. Woerner, 2003. "Estimation of Integrated Volatility in Stochastic Volatility Models," OFRC Working Papers Series 2003mf05, Oxford Financial Research Centre. [Downloadable!]
  6. Ole E. Barndorff-Nielsen & Neil Shephard, 2003. "Power and bipower variation with stochastic volatility and jumps," Economics Papers 2003-W17, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
  7. Ole Barndorff-Nielsen & Neil Shephard, 2004. "Multipower Variation and Stochastic Volatility," Economics Papers 2004-W30, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
    Other versions:
  8. Ole E. Barndorff-Nielsen & Peter Reinhard Hansen & Asger Lunde & Neil Shephard, 2004. "Regular and Modified Kernel-Based Estimators of Integrated Variance: The Case with Independent Noise," Economics Papers 2004-W28, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
    Other versions:
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