Dr. Mark Podolskij
PostDoc
RiskLab
Department of Mathematics
ETH-Zentrum, HG G 32.2
Rämistrasse 101
CH-8092 Zürich
Switzerland
Research Interests
Inference for semimartingales, asymptotic theory for high-frequency data, tests in diffusion
models, multiple stochastic integrals, Malliavin calculus, inference for Gaussian processes, Stein's methods,
fractional integration
Publications
Papers
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M. Podolskij and M. Vetter (2010): Understanding limit theorems for semimartingales: a short survey.
to appear in Statistica Nederlandica (special issue) (pdf)
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J. Jacod, M. Podolskij and M. Vetter (2009): Limit theorems for moving averages of discretized processes plus noise.
to appear in Annals of Statistics (pdf)
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M. Podolskij and D. Ziggel (2009): New tests for jumps in semimartingale models.
to appear in Statistical Inference for Stochastic Processes (pdf)
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M. Podolskij and M. Vetter (2009): Estimation of volatility functionals in the simultaneous presence of microstructure noise and jumps.
Bernoulli 15(3), 634-658. (pdf)
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M. Podolskij (2009): Semimartingales.
to appear in Encyclopedia of Quantative Finance, R. Cont eds.
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Podolskij and M. Vetter (2009): Bipower-type estimation in a noisy diffusion setting.
Stochastic Processes and Their Applications 119, 2803-2831 (pdf)
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O. E. Barndorff-Nielsen, J. M. Corcuera, M. Podolskij and J. H. C. Woerner (2009): Bipower variation for Gaussian processes with stationary increments.
Journal of Applied Probability 46, 132-150 (pdf)
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O. E. Barndorff-Nielsen, J. M. Corcuera and M. Podolskij (2009): Power variation for Gaussian processes with stationary increments.
Stochastic Processes and Their Applications 119, 1845-1865 (pdf)
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J. Jacod, Y. Li, P. Mykland, M. Podolskij and M. Vetter (2009): Microstructure noise in the continuous case: the pre-averaging approach.
Stochastic Processes and Their Applications 119, 2249-2276 (pdf)
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K. Christensen, M. Podolskij and M. Vetter (2009): Bias-correcting the realised range-based variance in the presence of market microstructure noise.
Finance and Stochastics 13(2), 239-268 (pdf)
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S. Kinnebrock and M. Podolskij (2008): A note on the central limit theorem for bipower variation of general functions.
Stochastic Processes and Their Applications 118 (2008), 1056-1070 (pdf)
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H. Dette and M. Podolskij (2008): Testing the parametric form of the volatility in continuous time diffusion models - an empirical process approach.
Journal of Econometrics 143, 56-73 (pdf)
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K. Christensen and M. Podolskij (2007): Realised range-based estimation of integrated variance.
Journal of Econometrics 141, 323-349 (pdf)
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H. Dette, M. Podolskij and M. Vetter (2006): Estimation of integrated volatility in continuous time financial models with applications to goodness-of-fit testing.
Scandinavian Journal of Statistics 33, 259-278 (pdf)
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O. E. Barndorff-Nielsen, S. E. Graversen, J. Jacod, M. Podolskij and N. Shephard (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", Springer (pdf)
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M. Podolskij (2006): New theory on estimation of integrated volatility with applications.
PhD thesis, Ruhr-University Bochum (pdf)
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M. Podolskij (2003): Tests auf parametrische Struktur der Volatilität in stochastischen Differentialgleichungen.
Diploma thesis, Ruhr-University Bochum (pdf)
Submitted
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K. Christensen, R. Oomen and M. Podolskij (2009): Realised quantile-based estimation of the integrated variance. (pdf) (MatLabCode)
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K. Christensen, S. Kinnebrock and M. Podolskij (2008): Pre-averaging estimators of the ex-post covariance matrix in noisy diffusion models with non-synchronous data. (pdf)
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O. E. Barndorff-Nielsen, J. M. Corcuera and M. Podolskij (2009): Multipower variation for Brownian semi-stationary processes. (pdf)
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K. Christensen and M. Podolskij (2009): Range-based estimation of quadratic variation. (pdf)
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O. E. Barndorff-Nielsen, J. M. Corcuera and M. Podolskij (2009): Limit theorems for functionals of higher order differences of Brownian semi-stationary processes. (pdf)
Technical reports
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M. Podolskij and D. Ziggel (2007): Bootstrapping bipower variation.
Technical report, Ruhr-University Bochum (pdf)
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M. Podolskij (2007): Non-parametric estimation of the volatility path in the presence of noise.
Oberwolfach report, 7/2007
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M. Podolskij (2007): Inference for diffusion processes in the simultaneous presence of noise and jumps.
Oberwolfach report, 15/2007
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S. Kinnebrock and M. Podolskij (2008): An econometric analysis of modulated realised covariance, regression and correlation in noisy diffusion models .
Technical report (pdf)
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M. Podolskij and D. Ziggel (2008): A range-based test for the parametric form of the volatility in diffusion models. (pdf)
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M. Podolskij (2009): Application of the Malliavin calculus to statistical problems on Gaussian fields.
Oberwolfach report, 39/2009
Research projects
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M. Podolskij and D. Ziggel: A note on the range-based estimation: subsampling and multivariate extension.
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N. Hautsch and M. Podolskij: Estimation of quadratic variation with applications.
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I. Nourdin, G. Peccati and M. Podolskij: Stein’s method for stably convergent sequences on Gaussian fields.
Professional activities
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Statistical consulting at the Ruhr-University of Bochum (2006-2007)
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Member of SFB 475 „Reduction of complexity in multivariate data structures“ (2003-2007)
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Referee: Advances in Applied Probability, Annals of Statistics, Applied Mathematical
Finance, Econometrica, ESAIM: Probability and Statistics, Journal of Applied Econometrics,
Journal of Econometrics, Journal of Financial Econometrics, Journal of Statistical Planning and Inference, Statistica Nederlandica, Stochastic Processes and Their
Applications
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Coorganiser of the conference „Symposium on Volatility“ (August 11-14, 2008, Aarhus)
My PhD students
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Dr. Mathias Vetter, PhD thesis: „Estimation methods in noisy diffusion models“
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Dr. Silja Kinnebrock, PhD thesis: „Asymptotic results for semimartingales and related processes with econometric applications“
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Dr. Daniel Ziggel, PhD thesis: „Modellierung von Wertpapierverläufen. Neue Test- und Schätzverfahren für Hochfrequenzdaten“
Selected newspaper articles
[Financial and Insurance Mathematics]
[RiskLab]
Last update: February 1, 2010.