Journal of Mathematical Sciences

, Volume 76, Issue 1, pp 2163–2168 | Cite as

Convergence rate estimates in some limit theorems for maximum random sums

  • V. Yu. Korolev
  • D. O. Selivanova


Some estimates of the accuracy of the approximation of the distribution of maximum partial random sums by the distribution of the maximum of the standard Wiener process are given in the case of an asymptotically degenerate index.


Convergence Rate Limit Theorem Rate Estimate Wiener Process Standard Wiener Process 
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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • V. Yu. Korolev
    • 1
  • D. O. Selivanova
    • 1
  1. 1.Moscow State UniversityMoscowRussia

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