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Limit theorems for some polynomial statistics of the Poisson process

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Publication:1897264
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DOI10.1007/BF00992616zbMath0840.60025MaRDI QIDQ1897264

A. Plikusas

Publication date: 30 June 1996

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)


zbMATH Keywords

central limit theoremlarge deviationsPoisson processstochastic integral


Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Asymptotic distribution theory in statistics (62E20) Central limit and other weak theorems (60F05) Large deviations (60F10)


Related Items (1)

Limit theorems for some polynomial statistics of the Poisson process



Cites Work

  • A general lemma on probabilities of large deviations
  • Limit theorems for some polynomial statistics of the Poisson process
  • Multiple Wiener integral
  • On a Method of Calculation of Semi-Invariants
  • On infinitely divisible self-similar random fields
  • The multiple stochastic integral
  • Asymptotic properties of intensity estimators for Poisson shot-noise processes
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