Excursions of vector-valued Gaussian stochastic processes: exact asymptotics
2018/31/B/ST1/00370
Keywords
Descriptors
- ST1_13: Rachunek prawdopodobieństwa i statystyka matematyczna
Panel
ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution
Uniwersytet Wrocławski, Wydział Matematyki i Informatyki
Voivodeship: dolnośląskie
Principal investigator (from the host institution)
prof. Krzysztof Grzegorz Dębicki
Number of co-investigators in the project: 3
Call
OPUS 16 – announced on 2018-09-14
- Amount awarded
- 377 040 PLN
- Project start date
- 2019-07-24
- Project end date
- 2024-07-23
- Project duration
- 60 months (the same as in the proposal)
- Project status
- Project settled
Project description
Download the project description in a pdf file
Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
Publication in academic press/journals (17)
-
On Berman Functions
- Authors:
- Krzysztof Dębicki, Enkelejd Hashorva, Zbigniew Michna
- Academic press:
- Methodology and Computing in Applied Probability (year: 2024, volume: 1,08472222222222, pages: 46049), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11009-023-10059-6 – link to the publication
-
Derivative of the expected supremum of fractional Brownian motion at H=1
- Authors:
- Krzysztof Bisewski, Krzysztof Dȩbicki, Tomasz Rolski
- Academic press:
- Queueing Systems (year: 2022, volume: 102, pages: 53-68), Publisher: Springer US
- Status:
- Published
- DOI:
- 10.1007/s11134-022-09859-3 – link to the publication
-
Simultaneous ruin probability for multivariate Gaussian risk model
- Authors:
- Bisewski Krzysztof, Dębicki Krzysztof, Kriukov Nikolai
- Academic press:
- Stochastic Processes and their Applications (year: 2023, volume: 160, pages: 386-408), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1016/j.spa.2023.03.002 – link to the publication
-
Sojourns of fractional Brownian motion queues: transient asymptotics
- Authors:
- Dębicki Krzysztof, Hashorva Enkelejd, Liu Peng
- Academic press:
- Queueing Systems (year: 2023, volume: 105, pages: 139-170), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s11134-023-09890-y – link to the publication
-
Running supremum of Brownian motion in dimension 2: exact and asymptotic results
- Authors:
- Krzysztof Kępczyński
- Academic press:
- Stochastic Modles (year: 2022, volume: 38, pages: 116-129), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/15326349.2021.1982395 – link to the publication
-
Bounds for expected supremum of fractional Brownian motion with drift
- Authors:
- Krzysztof Bisewski, Krzysztof Dębicki, Michel Mandjes
- Academic press:
- Journal of Applied Probability (year: 2021, volume: 58, pages: 411-427), Publisher: Cambridge University Press
- Status:
- Published
- DOI:
- 10.1017/jpr.2020.98 – link to the publication
-
Sojourns of stationary Gaussian processes over a random interval
- Authors:
- Dębicki Krzysztof, Peng Xiaofan
- Academic press:
- ALEA-Latin Am. J. Probab. Math. (year: 2023, volume: 20, pages: 1017–1039), Publisher: IMS
- Status:
- Published
- DOI:
- 10.30757/ALEA.v20-37 – link to the publication
-
Sojourn times of Gaussian and related random fields
- Authors:
- Dębicki Krzysztof, Hashorva Enkelejd, Liu Peng, Michna Zbigniew
- Academic press:
- ALEA-Latin Am. J. Probab. Math. (year: 2023, volume: 20, pages: 249–289), Publisher: IMS
- Status:
- Published
- DOI:
- 10.30757/ALEA.v20-10 – link to the publication
-
Probability of entering an orthant by correlated fractional Brownian motion with drift: exact asymptotics
- Authors:
- Krzysztof Dębicki, Lanpeng Ji, Svyatoslav Novikov
- Academic press:
- Extremes (year: 2024, volume: 27, pages: 613–641), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10687-024-00489-x – link to the publication
-
Extremes of reflecting Gaussian processes on discrete grid
- Authors:
- Krzysztof Dębicki, Grigori Jasnovidov
- Academic press:
- Journal of Mathematical Analysis and Applications (year: 2024, volume: 532 (1), pages: 127952), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.jmaa.2023.127952 – link to the publication
-
Finite-time ruin probability for correlated Brownian motions
- Authors:
- Krzysztof Dębicki, Enkelejd Hashorva, Konrad Krystecki
- Academic press:
- Scandinavian Actuarial Journal (year: 2021, volume: 2021, pages: 890-915), Publisher: Taylor & Francis
- Status:
- Published
- DOI:
- 10.1080/03461238.2021.1902853 – link to the publication
-
On the continuity of pickands constants
- Authors:
- Krzysztof Dębicki , Enkelejd Hashorva, Zbigniew Michna
- Academic press:
- Journal of Applied Probability (year: 2022, volume: 59 (1), pages: 187-201), Publisher: Cambridge University Press
- Status:
- Published
- DOI:
- 10.1017/jpr.2021.42 – link to the publication
-
Derivatives of sup-functionals of fractional Brownian motion evaluated at H=1/2
- Authors:
- Krzysztof Bisewski, Krzysztof Dębicki, Tomasz Rolski
- Academic press:
- Electronic Journal of Probability (year: 2022, volume: 27, pages: 12785), Publisher: The Institute of Mathematical Statistics and the Bernoulli Society
- Status:
- Published
- DOI:
- 10.1214/22-EJP848 – link to the publication
-
Exact asymptotics of component-wise extrema of two-dimensional Brownian motion
- Authors:
- K. Dębicki, L. Ji, T. Rolski
- Academic press:
- Extremes (year: 2020, volume: 23, pages: 569–602), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10687-020-00387-y – link to the publication
-
Pandemic-type failures in multivariate Brownian risk models
- Authors:
- Krzysztof Dębicki, Enkelejd Hashorva, Nikolai Kriukov
- Academic press:
- Extremes (year: 2022, volume: 25, pages: 46045), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10687-021-00424-4 – link to the publication
-
Proportional reinsurance for fractional Brownian risk model
- Authors:
- K. Kępczyński
- Academic press:
- Silesian Statistical Review (year: 2020, volume: 18, pages: 149-162), Publisher: Uniwersytet Ekonomiczny we Wrocławiu
- Status:
- Published
- DOI:
- 10.15611/sps.2020.18.08 – link to the publication
-
Extremes of vector-valued Gaussian processes
- Authors:
- K. Dębicki, E. Hashorva, L. Wang
- Academic press:
- Stochastic Processes and their Applications (year: 2020, volume: 130, pages: 5802-5837), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.spa.2020.04.008 – link to the publication