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On Stein-Chen factors for Poisson approximation

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Publication:1897103
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DOI10.1016/0167-7152(94)00131-QzbMath0829.60015OpenAlexW2064718644MaRDI QIDQ1897103

Timothy C. Brown, Aihua Xia

Publication date: 22 January 1996

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-7152(94)00131-q


zbMATH Keywords

point processStein-Chen methodtotal variation distanceimmigration-death process


Mathematics Subject Classification ID

Distribution theory (60E99)


Related Items

Removing logarithms from Poisson process error bounds. ⋮ Parametric Stein operators and variance bounds ⋮ Stein's method and Poisson process approximation for a class of Wasserstein metrics ⋮ A new metric between distributions of point processes ⋮ Approximation of the difference of two Poisson-like counts by Skellam



Cites Work

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  • Some Poisson approximations using compensators
  • The Stein-Chen method, point processes and compensators
  • Stein's method and point process approximation
  • A general Poisson approximation theorem
  • Poisson approximation for dependent trials
  • Poisson approximation for some statistics based on exchangeable trials


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