The maximum difference between the binomial and Poisson distributions

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Abstract

Explicit expressions are given for the maximum error between the binomial distribution with parameters n and p and its Poisson approximants, for sufficiently small values of np. Both the error in the cumulative distribution function and that in the probability mass function are given for Poisson approximants having means λ = np and λ = -n log(1 - p).

Original languageEnglish (US)
Pages (from-to)103-106
Number of pages4
JournalStatistics and Probability Letters
Volume11
Issue number2
DOIs
StatePublished - Jan 1 1991

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Keywords

  • Poisson approximation
  • binomial distribution

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