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Original Articles

On the Estimation of Integrated Volatility With Jumps and Microstructure Noise

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Pages 457-467 | Received 01 Feb 2012, Published online: 28 Jul 2014

REFERENCES

  • Aït-Sahalia, Y., and Jacod, J. (2009), “Estimating the Degree of Activity of Jumps in High Frequency Financial Data,” The Annals of Statistics, 37, 184–222.
  • Andersen, T.G., Bollerslev, T., Diebold, F., and Labys, P. (2003), “Modeling and Forecasting Realized Volatility,” Econometrica, 71, 579–625.
  • Bajgrowicz, P., Scaillet, O., and Treccani, A. (2013), “Jumps in High-Frequency Data: Spurious Detections, Dynamics, and News,” working paper, available at http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1343900.
  • Bandi, F.M., and Russell, J.R. (2006), “Separating Microstructure Noise From Volatility,” Journal of Financial Economics, 79, 655–692.
  • Barndorff-Nielsen, O., Graversen, S., Jacod, J., Podolskij, M., and Shephard, N. (2006), “A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales,” in From Stochastic Analysis to Mathematical Finance, Festschrift for Albert Shiryaev, eds. Y. Kabanov and R. Lipster, Berlin: Springer.
  • Barndorff-Nielsen, O.E., Hansen, P.R., Lunde, A., and Shephard, N. (2008), “Designing Realised Kernels to Measure the Ex-post Variation of Equity Prices in the Presence of Noise,” Econometrica, 76, 1481–1536.
  • Barndorff-Nielsen, O.E., and Shephard, N. (2004), “Power and Bipower Variation With Stochastic Volatility and Jumps,” Journal of Financial Econometrics, 2, 1–37.
  • Barndorff-Nielsen, O.E., and Shephard, N. (2006), “Econometrics of Testing for Jumps in Financial Economics Using Bipower Variation,” Journal of Financial Econometrics, 4, 1–30.
  • Christensen, K., Oomen, R., and Podolskij, M. (2014), “Fact or Friction: Jumps at Ultra High Frequency,” Journal of Financial Economics, forthcoming.
  • Cont, R., and Tankov, P. (2004), Financial Modelling With Jump Processes, London: Chapman & Hall / CRC Press.
  • Fan, J., and Wang, Y. (2007), “Multi-Scale Jump and Volatility Analysis for High-Frequency Financial Data,” Journal of the American Statistical Association, 102, 1349–1362.
  • Jacod, J. (2008), “Asymptotic Properties of Realized Power Variations and Related Functionals of Semimartingales,” Stochastic Processes and their Application, 118, 517–559.
  • Jacod, J. (2012), “Statistics and High Frequency Data,” in Proceedings of the 7th Séminaire Européen de Statistique, La Manga, 2007: Statistical Methods for Stochastic Differential Equations, eds. M. Kessler, A. Lindner, and M. Sorensen, Boca Raton, FL: Chapman & Hall / CRC Press.
  • Jacod, J., Li, Y., Mykland, P.A., Podolskij, M., and Vetter, M. (2009), “Microstructure Noise in the Continuous Case: The Pre-Averaging Approach,” Stochastic Processes and their Applications, 119, 2249–2276.
  • Jacod, J., Podolskij, M., and Vetter, M. (2010), “Limit Theorems for Moving Averages of Discretized Processes Plus Noise,” The Annals of Statistics, 38, 1478–1545.
  • Mancini, C. (2009), “Nonparametric Threshold Estimation for Models With Stochastic Diffusion Coefficient and Jumps,” Scandinavian Journal of Statistics, 36, 270–296.
  • Podolskij, M., and Vetter, M. (2009a), “Bipower-Type Estimation in a Noisy Diffusion Setting,” Stochastic Processes and their Applications, 119, 2803–2831.
  • Podolskij, M., and Vetter, M. (2009b), “Estimation of Volatility Functionals in the Simultaneous Presence of Microstructure Noise and Jumps,” Bernoulli, 15, 634–658.
  • Rosenbaum, M. (2009), “Integrated Volatility and Round-off Error,” Bernoulli, 15, 687–720.
  • Veraart, A. (2011), “How Precise is the Finite Sample Approximation of the Asymptotic Distribution of Realised Variation Measures in the Presence of Jumps?,” Advances in Statistical Analysis, 95, 253–291.
  • Wang, Y. (1995), “Jump and Sharp Cusp Detection by Wavelets,” Biometrika, 82, 385–397.
  • Wu, L. (2008), “Modeling Financial Security Returns Using Levy Processes,” in Handbooks in Operations Research and Management Science: Financial Engineering, Amsterdam: Elsevier.
  • Xiu, D. (2010), “Quasi-Maximum Likelihood Estimation of Volatility With High Frequency Data,” Journal of Econometrics, 159, 235–250.
  • Zhang, L. (2006), “Efficient Estimation of Stochastic Volatility Using Noisy Observations: A Multi-Scale Approach,” Bernoulli, 12, 1019–1043.
  • Zhang, L., Mykland, P., and Aït-Sahalia, Y. (2005), “A Tale of Two Time Scales: Determining Integrated Volatility With Noisy High-Frequency Data,” Journal of the American Statistical Association, 100, 1394–1411.

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