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Ukrainian Mathematical Journal

, Volume 57, Issue 11, pp 1712–1725 | Cite as

Ruin problem for a generalized Poisson process with reflection

  • M. S. Bratiichuk
  • O. V. Lukovych
Article

Abstract

We consider a generalized Poisson process with reflection at the level T > 0. Under certain conditions on the distribution of the values of positive jumps of the process, we obtain representations for the characteristic functions of functionals associated with the exit of the indicated process to the negative semiaxis.

Keywords

Characteristic Function Poisson Process Positive Jump Negative Semiaxis Generalize Poisson Process 
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References

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • M. S. Bratiichuk
    • 1
  • O. V. Lukovych
    • 2
  1. 1.Politechnika ŚląskaGliwicePoland
  2. 2.Shevchenko Kyiv National UniversityKyiv

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