His scientific interests lie mostly in Semimartingale, Volatility, Econometrics, Brownian motion and Martingale. His Semimartingale research is multidisciplinary, relying on both Poisson random measure and Quadratic variation. Jean Jacod focuses mostly in the field of Volatility, narrowing it down to matters related to Estimator and, in some cases, Optimal estimation.
His work in the fields of Econometrics, such as Stochastic volatility, overlaps with other areas such as Financial econometrics. His Local martingale study, which is part of a larger body of work in Martingale, is frequently linked to Convex function, bridging the gap between disciplines. His Applied mathematics research incorporates themes from Asset return, Sampling and Test statistic.
Jean Jacod mainly investigates Applied mathematics, Semimartingale, Volatility, Central limit theorem and Econometrics. Jean Jacod does research in Applied mathematics, focusing on Martingale specifically. In his study, which falls under the umbrella issue of Semimartingale, Stable process is strongly linked to Lévy process.
Jean Jacod studied Volatility and Estimator that intersect with Nonparametric statistics and Parametric statistics. His Central limit theorem research includes elements of Normalization, Combinatorics, Limit, Law of large numbers and Discretization. He has researched Mathematical analysis in several fields, including Point process and Pure mathematics.
Jean Jacod mainly focuses on Volatility, Semimartingale, Central limit theorem, Econometrics and Applied mathematics. His Volatility study which covers Estimator that intersects with Nonparametric statistics, Parametric statistics and Rate of convergence. His research in Semimartingale intersects with topics in Lebesgue measure, Test statistic, Integral element and Combinatorics.
His Central limit theorem research is multidisciplinary, incorporating elements of Mathematical analysis, Pure mathematics, Stable process, Law of large numbers and Quadratic variation. The Mathematical analysis study combines topics in areas such as Martingale and Discrete mathematics. His Applied mathematics research is multidisciplinary, incorporating perspectives in Mathematical optimization, Optimal control, Point process, Uniqueness and Differential equation.
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Limit Theorems for Stochastic Processes
Jean Jacod;Albert N Shiryaev.
(1987)
Calcul stochastique et problèmes de martingales
Jean Jacod.
(1979)
Microstructure Noise in the Continuous Case: The Pre-Averaging Approach ∗
Jean Jacod;Yingying Li;Per A. Mykland;Mark Podolskij.
Stochastic Processes and their Applications (2009)
Testing for jumps in a discretely observed process
Yacine Aït-Sahalia;Jean Jacod.
Annals of Statistics (2009)
Discretization of Processes
Jean Jacod;Philip E. Protter.
(2011)
Asymptotic error distributions for the Euler method for stochastic differential equations
Jean Jacod;Philip Protter.
Annals of Probability (1998)
High-Frequency Financial Econometrics
Yacine Aït-Sahalia;Jean Jacod.
(2014)
Asymptotic properties of realized power variations and related functionals of semimartingales
Jean Jacod.
Stochastic Processes and their Applications (2008)
Malliavin calculus for processes with jumps
Klaus Bichteler;Jean-Bernard Gravereaux;Jean Jacod.
(1987)
Estimating the degree of activity of jumps in high frequency data
Yacine Aït-Sahalia;Jean Jacod.
Annals of Statistics (2009)
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