Large Deviations and RuinProbabilities for Multivariate Random Iterative Mappings

2011/01/M/ST1/04604

Keywords

Descriptors

  • ST1_8: Analiza
  • 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

Other projects carried out by the institution »

Principal investigator (from the host institution)

prof. Ewa Maria Damek

Number of co-investigators in the project: 7

Call

HARMONIA 1 – announced on 2011-03-15

Amount awarded
223 600 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

Information in the final report

Publication in academic press/journals (4)

  1. Large deviations for solutions to stochastic recurrence equations under Kesten's condition

    Authors:
    D.Buraczewski, E.Damek, J.Zienkiewicz
    Academic press:
    The Annals of Probability (year: 2013, volume: 41 nr 4, pages: 2755-2790), Publisher: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/12-AOP782 – link to the publication
  2. On the rate of convergence in the Kesten renewal theorem

    Authors:
    D.Buraczewski, E.Damek, T.Przebinda
    Academic press:
    Elektronic Journal of Probability (year: 2015, volume: 20, pages: artykuł nr 22, 35 stron), Publisher: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    link to the publication
  3. On the Kesten-Goldie constant

    Authors:
    D.Buraczewski, E. Damek, J.Zienkiewicz
    Academic press:
    Journal of Difference Equations and Applications (year: 2016, volume: 0,924305555555556, pages: 1646-1662), Publisher: Taylor&Francis
    Status:
    Published
    DOI:
    10.1080/10236198.2016.1234613 – link to the publication
  4. Large deviation estimates for exceedance times of perpetuity sequences and their dual processes

    Authors:
    D. Buraczewski, J.Collamore, E.Damek, J.Zienkiewicz
    Academic press:
    Annals of Probability (year: 2016, volume: 44(6), pages: 3688-3739), Publisher: Institute of Mathematical Statistics
    Status:
    Published
    DOI:
    10.1214/15-AOP1059 – link to the publication

Book publications / chapters in book publications (1)

  1. nie dotyczy

    Authors:
    D. Buraczewski, E.Damek, T.Mikosch
    Book:
    Stochastic Models with Power-Law Tails. The Equation X= AX+B (year: 2016, volume: nie dotyczy, pages: 320 stron), Publisher: Springer http://www.springer.com/series/3182
    Status:
    Published
    DOI:
    link to the publication

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