T. G. Andersen, T. Bollerslev, and F. X. Diebold, Parametric and nonparametric measurement of volatilityHandbook of Financial Econometrics, pp.67-138, 2010.

T. G. Andersen, T. Bollerslev, F. X. Diebold, and P. Labys, The distribution of exchange rate volatility, Journal of the American Statistical Association, vol.96, issue.98, pp.42-55, 2001.
DOI : 10.3386/w6961

T. G. Andersen, T. Bollerslev, F. X. Diebold, and P. Labys, Modeling and Forecasting Realized Volatility, Econometrica, vol.71, issue.2, pp.579-625, 2003.
DOI : 10.1111/1468-0262.00418

T. G. Andersen, T. Bollerslev, and N. Meddahi, Realized volatility forecasting and market microstructure noise, Journal of Econometrics, vol.160, issue.1, 2010.
DOI : 10.1016/j.jeconom.2010.03.032

D. W. Andrews, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation, Econometrica, vol.59, issue.3, pp.817-858, 1991.
DOI : 10.2307/2938229

F. M. Bandi and J. R. Russell, Realized covariation, realized beta and microstructure noise, 2005.

F. M. Bandi and J. R. Russell, Separating microstructure noise from volatility, Journal of Financial Economics, vol.79, issue.3, pp.655-692, 2006.
DOI : 10.1016/j.jfineco.2005.01.005

F. M. Bandi and J. R. Russell, Microstructure Noise, Realized Variance, and Optimal Sampling, Review of Economic Studies, vol.75, issue.2, pp.339-369, 2008.
DOI : 10.1111/j.1467-937X.2008.00474.x

L. Fisher, Some New Stock-Market Indexes, The Journal of Business, vol.39, issue.S1, pp.191-225, 1966.
DOI : 10.1086/294848

J. Fleming, C. Kirby, and B. Ostdiek, The economic value of volatility timing using ???realized??? volatility, Journal of Financial Economics, vol.67, issue.3, pp.473-509, 2003.
DOI : 10.1016/S0304-405X(02)00259-3

E. Ghysels, A. C. Harvey, and E. Renault, Stochastic volatilityStatistical Methods in Finance, pp.119-191, 1996.

P. Glasserman, Monte Carlo Methods in Financial Engineering, 2004.
DOI : 10.1007/978-0-387-21617-1

S. Goncalves and N. Meddahi, Bootstrapping realized volatility, Econometrica, vol.77, pp.283-306, 2009.

J. E. Griffin and R. C. Oomen, Appendix to Covariance Measurement in the Presence of Non-Synchronous Trading and Market Microstructure Noise, SSRN Electronic Journal, 2009.
DOI : 10.2139/ssrn.1438825

D. M. Guillaume, M. M. Dacorogna, R. R. Dave, U. A. Müller, R. B. Olsen et al., From the bird's eye view to the microscope: a survey of new stylized facts of the intra-daily foreign exchange markets, Finance and Stochastics, vol.2, pp.95-130, 1997.

P. R. Hansen and G. Horel, Quadratic variation by markov chains', working paper, 2009.

P. R. Hansen, J. Large, and A. Lunde, Moving Average-Based Estimators of Integrated Variance, Econometric Reviews, vol.14, issue.1, pp.79-111, 2008.
DOI : 10.1080/07474930701853640

P. R. Hansen and A. Lunde, A Realized Variance for the Whole Day Based on Intermittent High-Frequency Data, Journal of Financial Econometrics, vol.3, issue.4, pp.525-554, 2005.
DOI : 10.1093/jjfinec/nbi028

P. R. Hansen and A. Lunde, Realized Variance and Market Microstructure Noise, Journal of Business & Economic Statistics, vol.24, issue.2, pp.127-218, 2006.
DOI : 10.1198/073500106000000071

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.467.3402

F. Harris, T. Mcinish, G. Shoesmith, and R. Wood, Cointegration, Error Correction, and Price Discovery on Informationally Linked Security Markets, The Journal of Financial and Quantitative Analysis, vol.30, issue.4, pp.563-581, 1995.
DOI : 10.2307/2331277

T. Hayashi, J. Jacod, and N. Yoshida, Irregular sampling and central limit theorems for power variations: The continuous case, Annales de l'Institut Henri Poincar??, Probabilit??s et Statistiques, vol.47, issue.4, 2008.
DOI : 10.1214/11-AIHP432

T. Hayashi and N. Yoshida, On covariance estimation of non-synchronously observed diffusion processes, Bernoulli, vol.11, issue.2, pp.359-379, 2005.
DOI : 10.3150/bj/1116340299

J. Jacod, Limit of random measures associated with the increments of a Brownian semimartingale, 1994.

J. Jacod, Statistics and high-frequency data, 2008.
DOI : 10.1201/b12126-4

J. Jacod, Y. Li, P. A. Mykland, M. Podolskij, and M. Vetter, Microstructure noise in the continuous case: The pre-averaging approach, Stochastic Processes and Their Applications, pp.2249-2276, 2009.
DOI : 10.1016/j.spa.2008.11.004

J. Jacod and P. Protter, Asymptotic error distributions for the Euler method for stochastic differential equations, The Annals of Probability, vol.26, issue.1, pp.267-307, 1998.
DOI : 10.1214/aop/1022855419

I. Kalnina and O. Linton, Estimating quadratic variation consistently in the presence of endogenous and diurnal measurement error, Journal of Econometrics, vol.147, issue.1, pp.47-59, 2008.
DOI : 10.1016/j.jeconom.2008.09.016

URL : https://hal.archives-ouvertes.fr/hal-00533604

J. Large, Accounting for the Epps effect: Realized covariation, cointegration and common factors, 2007.

Y. Li, P. Mykland, E. Renault, L. Zhang, and X. Zheng, Realized volatility when endogeniety of time matters. Working Paper, 2009.

P. Malliavin and M. E. Mancino, Fourier series method for measurement of multivariate volatilities, Finance and Stochastics, vol.6, issue.1, pp.49-61, 2002.
DOI : 10.1007/s780-002-8400-6

M. Martens, Estimating unbiased and precise realized covariances. Unpublished paper: Department of Finance, Erasmus School of Economics, 2003.

P. A. Mykland and L. Zhang, ANOVA for diffusions and It?? processes, The Annals of Statistics, vol.34, issue.4, pp.1931-1963, 2006.
DOI : 10.1214/009053606000000452

P. A. Mykland and L. Zhang, The econometrics of high frequency dataStatistical Methods for Stochastic Differential Equations', Forthcoming, 2009.

P. A. Mykland and L. Zhang, Inference for Continuous Semimartingales Observed at High Frequency: A General Approach, SSRN Electronic Journal, vol.77, pp.1403-1455, 2009.
DOI : 10.2139/ssrn.1030851

W. K. Newey and K. D. West, A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix, Econometrica, vol.55, issue.3, pp.703-708, 1987.
DOI : 10.2307/1913610

P. C. Phillips and J. Yu, Information loss in volatility measurement with flat price trading. Unpublished paper: Cowles Foundation for Research in Economics, 2008.

E. Renault and B. Werker, Causality effects in return volatility measures with random times, Journal of Econometrics, vol.160, issue.1, 2010.
DOI : 10.1016/j.jeconom.2010.03.036

R. Reno, A CLOSER LOOK AT THE EPPS EFFECT, International Journal of Theoretical and Applied Finance, vol.06, issue.01, pp.87-102, 2003.
DOI : 10.1142/S0219024903001839

N. Shephard and K. K. Sheppard, Realising the future: forecasting with high-frequency-based volatility (HEAVY) models, Journal of Applied Econometrics, vol.100, issue.8, 2009.
DOI : 10.1002/jae.1158

B. W. Silverman, Density Estimation for Statistical and Data Analysis, 1986.

M. Vetter, Estimation methods in noisy diffusion models, 2008.

V. Voev and A. Lunde, Integrated Covariance Estimation using High-frequency Data in the Presence of Noise, Journal of Financial Econometrics, vol.5, issue.1, pp.68-104, 2007.
DOI : 10.1093/jjfinec/nbl011

L. Zhang, Efficient estimation of stochastic volatility using noisy observations: a multi-scale approach, Bernoulli, vol.12, issue.6, pp.1019-1043, 2006.
DOI : 10.3150/bj/1165269149

L. Zhang, P. A. Mykland, and Y. A¨?ta¨?t-sahalia, A Tale of Two Time Scales, Journal of the American Statistical Association, vol.100, issue.472, pp.1394-1411, 2005.
DOI : 10.1198/016214505000000169

B. Zhou, High-frequency data and volatility in foreign-exchange rates, Journal of Business and Economic Statistics, vol.14, pp.45-52, 1996.

B. Zhou, Parametric and nonparametric volatility measurementNonlinear Modelling of High Frequency Financial Time Series, 1998.

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