The maximum difference between the binomial and Poisson distributions

H. Vincent Poor

doi:10.1016/0167-7152(91)90125-B

The maximum difference between the binomial and Poisson distributions

H. Vincent Poor

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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 language	English (US)
Pages (from-to)	103-106
Number of pages	4
Journal	Statistics and Probability Letters
Volume	11
Issue number	2
DOIs	https://doi.org/10.1016/0167-7152(91)90125-B
State	Published - Feb 1991

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Keywords

Poisson approximation
binomial distribution

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10.1016/0167-7152(91)90125-B

Cite this

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title = "The maximum difference between the binomial and Poisson distributions",

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).",

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N2 - 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).

AB - 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).

KW - Poisson approximation

KW - binomial distribution

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U2 - 10.1016/0167-7152(91)90125-B

DO - 10.1016/0167-7152(91)90125-B

M3 - Article

AN - SCOPUS:0043261591

SN - 0167-7152

VL - 11

SP - 103

EP - 106

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 2

ER -

The maximum difference between the binomial and Poisson distributions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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