Confidence intervals for the comparison of two poisson distributions

Lisa A. Weissfeld; R. T.S. Laurent; L. H. Moulton

doi:10.1080/03610929108830688

Confidence intervals for the comparison of two poisson distributions

Lisa A. Weissfeld, R. T.S. Laurent, L. H. Moulton

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

4 Scopus citations

Abstract

Confidence interval construction for the difference in mean event rates for two Independent Poisson samples is discussed. Intervals are derived by considering Bayes estimates of the mean event rates using a family of noninformative priors. The coverage probabilities of the proposed intervals are compared to those of the standard Wald interval for a small number of observed events. A compromise method of constructing an interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.

Original language	English (US)
Pages (from-to)	3071-3081
Number of pages	11
Journal	Communications in Statistics - Theory and Methods
Volume	20
Issue number	10
DOIs	https://doi.org/10.1080/03610929108830688
State	Published - Jan 1 1991
Externally published	Yes

Keywords

Poisson mean
confidence Interva1
noninformative prior

ASJC Scopus subject areas

Statistics and Probability

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10.1080/03610929108830688

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AU - Laurent, R. T.S.

AU - Moulton, L. H.

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AB - Confidence interval construction for the difference in mean event rates for two Independent Poisson samples is discussed. Intervals are derived by considering Bayes estimates of the mean event rates using a family of noninformative priors. The coverage probabilities of the proposed intervals are compared to those of the standard Wald interval for a small number of observed events. A compromise method of constructing an interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.

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KW - confidence Interva1

KW - noninformative prior

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Confidence intervals for the comparison of two poisson distributions

Abstract

Keywords

ASJC Scopus subject areas

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