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On the Cramér transform, large deviations in boundary value problems, and the conditional invariance principle

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Publication:1921795
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DOI10.1007/BF02109831zbMath0915.60043OpenAlexW2328149345MaRDI QIDQ1921795

Aleksandr A. Borovkov

Publication date: 4 July 1999

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02109831


zbMATH Keywords

large deviationsCramér transformconditional invariance principle


Mathematics Subject Classification ID

Large deviations (60F10) Functional limit theorems; invariance principles (60F17)


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Characterization of large deviation probabilities for regenerative sequences ⋮ The second rate function and the asymptotic problems of renewal and hitting the boundary for multidimensional random walks ⋮ Martin boundary of a reflected random walk on a half-space ⋮ The exact asymptotics of the large deviation probabilities in the multivariate boundary crossing problem



Cites Work

  • Sanov property, generalized I-projection and a conditional limit theorem
  • On the Rate of Convergence in the “Conditional” Invariance Principle
  • CONVERGENCE OF MEASURES AND RANDOM PROCESSES
  • Boundary-Value Problems for Random Walks and Large Deviations in Function Spaces
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