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On convergence of empirical point processes


  • Davydov, Youri
  • Egorov, Vladimir


A new approach to the study of asymptotic behavior of truncated sumsis proposed, where (An)[short up arrow] is an increasing sequence of sets and (Xi) are i.i.d. random vectors from the domain of attraction of a stable law. This approach is based on the investigation of weak convergence (more strong than usual) for empirical point processes associated with the vectors (Xi).

Suggested Citation

  • Davydov, Youri & Egorov, Vladimir, 2006. "On convergence of empirical point processes," Statistics & Probability Letters, Elsevier, vol. 76(17), pages 1836-1844, November.
  • Handle: RePEc:eee:stapro:v:76:y:2006:i:17:p:1836-1844

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    References listed on IDEAS

    1. Jonasson, Johan, 1998. "Infinite Divisibility of Random Objects in Locally Compact Positive Convex Cones," Journal of Multivariate Analysis, Elsevier, vol. 65(2), pages 129-138, May.
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