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PODOLSKIJ Mark

University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

ORCID
0000-0002-3302-2455
Main Referenced Co-authors
AMORINO, Chiara  (3)
Basse-O'Connor, Andreas (3)
PILIPAUSKAITE, Vytauté  (3)
Belomestny, Denis (2)
CIOLEK, Gabriela  (2)
Main Referenced Keywords
Statistics and Probability (8); Statistics, Probability and Uncertainty (4); local time (3); Lévy processes (3); Modeling and Simulation (3);
Main Referenced Disciplines
Mathematics (19)

Publications (total 19)

The most downloaded
167 downloads
CIOLEK, G., MARUSHKEVYCH, D., & PODOLSKIJ, M. (2020). On Dantzig and Lasso estimators of the drift in a high dimensional Ornstein-Uhlenbeck model. Electronic Journal of Statistics, 14 (2), 4395-4420. doi:10.1214/20-EJS1775 https://hdl.handle.net/10993/45475

The most cited

14 citations (Scopus®)

Mazur, S., Otryakhin, D., & PODOLSKIJ, M. (2020). Estimation of the linear fractional stable motion. Bernoulli, 26 (1), 226–252. doi:10.3150/19-BEJ1124 https://hdl.handle.net/10993/45359

AMORINO, C., PODOLSKIJ, M., PILIPAUSKAITE, V., ZHOU, S.-Y., & Belomestny, D. (In press). Polynomial rates via deconvolution for nonparametric estimation in McKean-Vlasov SDEs. Probability Theory and Related Fields. doi:10.1007/s00440-024-01346-5
Peer Reviewed verified by ORBi

CIOLEK, G., MARUSHKEVYCH, D., & PODOLSKIJ, M. (01 August 2025). On Lasso estimator for the drift function in diffusion models. Bernoulli, 31 (3), 1811-1833. doi:10.3150/24-BEJ1781
Peer Reviewed verified by ORBi

Basse-O'Connor, A., & PODOLSKIJ, M. (10 May 2024). Asymptotic theory for quadratic variation of harmonizable fractional stable processes. Theory of Probability and Mathematical Statistics, 110, 3-12. doi:10.1090/tpms/1203
Peer Reviewed verified by ORBi

AMORINO, C., Jaramillo, A., & PODOLSKIJ, M. (March 2024). Optimal estimation of the local time and the occupation time measure for an α-stable Lévy process. Modern Stochastics: Theory and Applications, 11 (2), 149 - 168. doi:10.15559/24-VMSTA243
Peer Reviewed verified by ORBi

CAMPESE, S., LENGERT, N., & PODOLSKIJ, M. (2024). Limit theorems for general functionals of Brownian local times. Electronic Journal of Probability, 29 (none). doi:10.1214/24-EJP1196
Peer Reviewed verified by ORBi

Mies, F., & PODOLSKIJ, M. (01 October 2023). Estimation of mixed fractional stable processes using high-frequency data. Annals of Statistics, 51 (5), 1946-1964. doi:10.1214/23-AOS2312
Peer Reviewed verified by ORBi

AMORINO, C., HEIDARI, A., Pilipauskaitė, V., & PODOLSKIJ, M. (September 2023). Parameter estimation of discretely observed interacting particle systems. Stochastic Processes and Their Applications, 163, 350 - 386. doi:10.1016/j.spa.2023.06.011
Peer Reviewed verified by ORBi

Christensen, K., Nielsen, M. S., & PODOLSKIJ, M. (July 2023). High-dimensional estimation of quadratic variation based on penalized realized variance. Statistical Inference for Stochastic Processes, 26 (2), 331 - 359. doi:10.1007/s11203-022-09282-8
Peer Reviewed verified by ORBi

Belomestny, D., PILIPAUSKAITE, V., & PODOLSKIJ, M. (01 February 2023). Semiparametric estimation of McKean-Vlasov SDEs. Annales de l'I.H.P. Probabilités et Statistiques, 59 (1), 79-96. doi:10.1214/22-AIHP1261
Peer Reviewed verified by ORBi

Ljungdahl, M. M., & PODOLSKIJ, M. (June 2022). Multidimensional parameter estimation of heavy-tailed moving averages. Scandinavian Journal of Statistics, 49 (2), 593 - 624. doi:10.1111/sjos.12527
Peer Reviewed verified by ORBi

Ivanovs, J., & PODOLSKIJ, M. (2022). Optimal estimation of the supremum and occupation times of a self-similar Lévy process∗. Electronic Journal of Statistics, 16 (1), 892 - 934. doi:10.1214/21-EJS1928
Peer Reviewed verified by ORBi

Heiny, J., & PODOLSKIJ, M. (August 2021). On estimation of quadratic variation for multivariate pure jump semimartingales. Stochastic Processes and Their Applications, 138, 234 - 254. doi:10.1016/j.spa.2021.04.016
Peer Reviewed verified by ORBi

Basse-O'Connor, A., PILIPAUSKAITE, V., & PODOLSKIJ, M. (2021). Power variations for fractional type infinitely divisible random fields. Electronic Journal of Probability, 26, 1-35. doi:10.1214/21-EJP617
Peer Reviewed verified by ORBi

Basse-O'connor, A., Grønbæk, T., & PODOLSKIJ, M. (2021). Local asymptotic self-similarity for heavy tailed harmonizable fractional Lévy motions. ESAIM: Probability and Statistics, 25, 286 - 297. doi:10.1051/ps/2021011
Peer Reviewed verified by ORBi

Mazur, S., Otryakhin, D., & PODOLSKIJ, M. (2020). Estimation of the linear fractional stable motion. Bernoulli, 26 (1), 226–252. doi:10.3150/19-BEJ1124
Peer Reviewed verified by ORBi

PODOLSKIJ, M., Veliyev, B., & Yoshida, N. (2020). Edgeworth expansion for Euler approximation of continuous diffusion processes. Annals of Applied Probability, 30 (4), 1971–2003. doi:10.1214/19-AAP1549
Peer Reviewed verified by ORBi

Ljungdahl, M., & PODOLSKIJ, M. (2020). A minimal contrast estimator for the linear fractional stable motion. Statistical Inference for Stochastic Processes, 23, 381–413. doi:10.1007/s11203-020-09216-2
Peer Reviewed verified by ORBi

Basse-O'Connor, A., Thäle, C., & PODOLSKIJ, M. (2020). A Berry-Esseén theorem for partial sums of functionals of heavy-tailed moving averages. Electronic Journal of Probability, 25 (31), 1–31. doi:10.1214/20-EJP435
Peer Reviewed verified by ORBi

CIOLEK, G., MARUSHKEVYCH, D., & PODOLSKIJ, M. (2020). On Dantzig and Lasso estimators of the drift in a high dimensional Ornstein-Uhlenbeck model. Electronic Journal of Statistics, 14 (2), 4395-4420. doi:10.1214/20-EJS1775
Peer Reviewed verified by ORBi

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