Calculus on random integral mappings and their applications.
2011/01/B/ST1/01257
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)
Number of co-investigators in the project: 1
Call
OPUS 1 – announced on 2011-03-15
- Amount awarded
- 150 000 PLN
- Project start date
- 2011-12-01
- Project end date
- 2014-11-30
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- Laptop DELL. Cost: 5 000 PLN
Information in the final report
Publication in academic press/journals (7)
-
A random integral calculus on generalized s-selfdecomposable probability measures
- Authors:
- Zbigniew J. Jurek
- Academic press:
- Sankhya A (year: 2014, volume: 76 , Issue 1, pages: 46036), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s13171-013-0038-8 – link to the publication
-
Invariant measures under random integral mappings and marginal distributions of fractional Levy processes
- Authors:
- Zbigniew J. Jurek
- Academic press:
- Statistics and Probability Letters (year: 2013, volume: 83, pages: 177-183), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.spl.2012.09.04 – link to the publication
-
Strong mixing and operator-selfdecomposability
- Authors:
- Richard C. Bradley and Zbigniew J. Jurek
- Academic press:
- Journal of Theoretical Probability (year: 2016, volume: 29 (1), pages: 292-306), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10959-014-0575-7 – link to the publication
-
On central limit theorem for shrunken weakly dependent random variables
- Authors:
- Richard C. Bradley and Zbigniew J. Jurek
- Academic press:
- Houston Mathematical Journal (year: 2015, volume: 41 no 2, pages: 621-638), Publisher: Huston University
- Status:
- Published
-
Remarks on the factorization property of some random integrals
- Authors:
- Zbigniew J. Jurek
- Academic press:
- Statistics and Probability Letters (year: 2014, volume: 94, pages: 192-195), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/.spl.2014.07.021 – link to the publication
-
The Strong mixing and the selfdecomposability properties
- Authors:
- R.C. Bradley and Z. J. Jurek
- Academic press:
- Statitics and Probability Letters (year: 2014, volume: 84, pages: 67-71), Publisher: Elsevier
- Status:
- Published
- DOI:
- 10.1016/j.spl.2013.09.015 – link to the publication
-
On a method of introducing free-infinitely divisible probability measures
- Authors:
- Zbigniew J. Jurek
- Status:
- Accepted for publication