On uniform approximation of Poisson variates by normal ones

Judah Rosenblatt; D. L. Jackson; W. P. Dole; W. L. Thompson

doi:10.1016/0378-3758(83)90046-0

On uniform approximation of Poisson variates by normal ones

Judah Rosenblatt, D. L. Jackson, W. P. Dole, W. L. Thompson

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

Abstract

In this paper the accuracy of the normal approximation to the Poisson is treated from the viewpoint of direct approximation of Poisson variables by normal ones. The conclusions that are derived on the accuracy of this approximation lead (among others) to very useful results on confidence limits for the mean of a linear combination of independent Poisson variables; these latter are employed in precise determination of the composition of a mixture of radioactive isotopes by means of a scintillation counter.

Original language	English (US)
Pages (from-to)	281-300
Number of pages	20
Journal	Journal of Statistical Planning and Inference
Volume	8
Issue number	3
DOIs	https://doi.org/10.1016/0378-3758(83)90046-0
State	Published - 1983
Externally published	Yes

Keywords

Central limit theorem
Normal approximation
Poisson

ASJC Scopus subject areas

Statistics, Probability and Uncertainty
Applied Mathematics
Statistics and Probability

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10.1016/0378-3758(83)90046-0

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abstract = "In this paper the accuracy of the normal approximation to the Poisson is treated from the viewpoint of direct approximation of Poisson variables by normal ones. The conclusions that are derived on the accuracy of this approximation lead (among others) to very useful results on confidence limits for the mean of a linear combination of independent Poisson variables; these latter are employed in precise determination of the composition of a mixture of radioactive isotopes by means of a scintillation counter.",

keywords = "Central limit theorem, Normal approximation, Poisson",

author = "Judah Rosenblatt and Jackson, {D. L.} and Dole, {W. P.} and Thompson, {W. L.}",

year = "1983",

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AU - Rosenblatt, Judah

AU - Jackson, D. L.

AU - Dole, W. P.

AU - Thompson, W. L.

PY - 1983

Y1 - 1983

N2 - In this paper the accuracy of the normal approximation to the Poisson is treated from the viewpoint of direct approximation of Poisson variables by normal ones. The conclusions that are derived on the accuracy of this approximation lead (among others) to very useful results on confidence limits for the mean of a linear combination of independent Poisson variables; these latter are employed in precise determination of the composition of a mixture of radioactive isotopes by means of a scintillation counter.

AB - In this paper the accuracy of the normal approximation to the Poisson is treated from the viewpoint of direct approximation of Poisson variables by normal ones. The conclusions that are derived on the accuracy of this approximation lead (among others) to very useful results on confidence limits for the mean of a linear combination of independent Poisson variables; these latter are employed in precise determination of the composition of a mixture of radioactive isotopes by means of a scintillation counter.

KW - Central limit theorem

KW - Normal approximation

KW - Poisson

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IS - 3

ER -

On uniform approximation of Poisson variates by normal ones

Abstract

Keywords

ASJC Scopus subject areas

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