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Some limit theorems for the homogeneous Poisson process

Author

Listed:
  • Auer, P.
  • Hornik, K.
  • Révész, P.

Abstract

We give strong results for the maximal number of points of a d-dimensional Poisson process in cubes of volume VT contained in [0, T]d for the case where VT is below the Erdös-Réyni range, i.e. VT = o(log T).

Suggested Citation

  • Auer, P. & Hornik, K. & Révész, P., 1991. "Some limit theorems for the homogeneous Poisson process," Statistics & Probability Letters, Elsevier, vol. 12(2), pages 91-96, August.
    • Handle: RePEc:eee:stapro:v:12:y:1991:i:2:p:91-96
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    1. Borges, Adilson & Herter, Márcia Maurer & Chebat, Jean-Charles, 2015. "“It was not that long!†: The effects of the in-store TV screen content and consumers emotions on consumer waiting perception," Journal of Retailing and Consumer Services, Elsevier, vol. 22(C), pages 96-106.

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