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Power variation of some integral fractional processes
11 references·16 citing·39 second hop
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this work references cited by second hop

References

  • 2002Econometric Analysis of Realized Volatility and its Use in Estimating Stochastic Volatility Models2,224 cited
  • 2004Power and Bipower Variation with Stochastic Volatility and Jumps2,033 cited
  • 2004Econometric Analysis of Realized Covariation: High Frequency Based Covariance, Regression, and Correlation in Financial Economics907 cited
  • 1975Weak convergence to fractional brownian motion and to the rosenblatt process794 cited
  • 1979Convergence of integrated processes of arbitrary Hermite rank566 cited
  • 2005Central limit theorems for sequences of multiple stochastic integrals442 cited
  • 1999Essentials of Stochastic Finance412 cited
  • 2000ESSENTIALS OF STOCHASTIC FINANCE301 cited
  • 2006A Central Limit Theorem for Realised Power and Bipower Variations of Continuous Semimartingales282 cited
  • 2004Gaussian Limits for Vector-valued Multiple Stochastic Integrals249 cited
  • 2003Realized power variation and stochastic volatility models243 cited

Cited by

  • 2007Exact Rate of Convergence of Some Approximation Schemes Associated to SDEs Driven by a Fractional Brownian Motion100 cited
  • 2008Power variation for Gaussian processes with stationary increments79 cited
  • 2011Multipower variation for Brownian semistationary processes77 cited

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  • 2008Asymptotic behavior of weighted quadratic and cubic variations of fractional Brownian motion65 cited
  • 2013Asymptotic theory for Brownian semi-stationary processes with application to turbulence61 cited
  • 2019A note on parameter estimation for discretely sampled SPDEs50 cited
  • 2020High-frequency analysis of parabolic stochastic PDEs47 cited
  • 2010Central limit theorems for multiple Skorohod integrals43 cited
  • 2008Weighted power variations of iterated Brownian motion41 cited
  • 2007Inference in Lévy-type stochastic volatility models36 cited
  • 2008Optimal pointwise approximation of stochastic differential equations driven by fractional Brownian motion34 cited
  • 2009Bipower Variation for Gaussian Processes with Stationary Increments33 cited
  • 2009Milstein’s type schemes for fractional SDEs33 cited
  • 2014Assessing relative volatility/ intermittency/energy dissipation30 cited
  • 2021Volatility of volatility: Estimation and tests based on noisy high frequency data with jumps29 cited
  • 2014Asymptotics of weighted random sums26 cited