Jean Jacod: Difference between revisions
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Jean Jacod | |
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Born | [1] | 13 November 1944
Nationality | French |
Alma mater | Ecole Polytechnique |
Known for | Limit theorems for stochastic processes, Malliavin calculus for jump processes |
Awards | Gay Lussac-Humboldt Prize (2007) |
Scientific career | |
Fields | Probability |
Institutions | Université Pierre et Marie Curie |
Doctoral advisor | Jacques Neveu |
Jean Jacod (born 1944) is a French mathematician specializing in Stochastic processes and probability theory. He has been a professor at the [[Université Pierre et Marie Curie] .[2] He has made fundamental contributions to a wide range of topics in probability theory including stochastic calculus, limit theorems, martingale problems, Malliavin calculus and statistics of stochastic processes.
Biography
Jean Jacod graduated from Ecole Polytechnique in 1965 and obtained his Doctorat d'État in Mathematics from the Université Paris-VI. His advisor was Jacques Neveu.
Selected bibliography
- Jacod, Jean; Shiryaev, Albert N. (1987). Limit theorems for stochastic processes. doi:10.1007/978-3-662-05265-5. ISBN 9783540439325.
- J. JACOD, P. PROTTER: Asymptotic error distributions for the Euler method for stochastic
differential equations. Ann. Probab., 26, 267-307 (1998).
- J. JACOD: Non-parametric kernel estimation of the diffusion for a diffusion
process. Scand. J. Statist. 27, 83-96 (2000).
- E. EBERLEIN, J. JACOD, S. RAIBLE: Levy term structure models: no–arbitrage and
completeness. Finance and Stochastics, 9, 67–88 (2005)
- J. JACOD: Asymptotic properties of power variations of L´evy processes. ESAIM-PS, 11,
173-196 (2007).
- J. JACOD: Asymptotic properties of realized power variations and associated functionals 129-A
of semimartingales. Stoch. Proc. Appl., 118, 517-559 (2008).
- Y. AIT–SAHALIA, J. JACOD: Testing for jumps in a discretely observed process. Annals
of Statistics, 37, 1, 184-222 (2009).
- J. JACOD, Y. LI, P. MYKLAND, M. PODOLSKIJ, M. VETTER: Microstructure noise
in the continuous case: the pre-averaging approach. Stoch. Proc. Appl., 119, 7, 2249-2276 (2009).
- J. JACOD, Z. KOWALSKI, A. NIKEGHBALI: Mod-Gaussian convergence: new limit
theorems in probability and number theory. Forum Math. 23, 835-873 (2011).
- A. DIOP, J. JACOD, V. TODOROV: Central Limit Theorem for Approximate Quadratic
Variations of Pure Jump Ito Semimartingales. Stoch. Proc. Appl. 123, 839-886 (2013).