Confidence intervals for the comparison of two Poisson distributions

Lisa A. Weissfeld; Roy T. St. Laurent; Lawrence H. Moulton; Roy T St Laurent

doi:10.1080/03610929108830688

Confidence intervals for the comparison of two Poisson distributions

Lisa A. Weissfeld, Roy T. St. Laurent, Lawrence H. Moulton, Roy T St Laurent

Mathematics and Statistics

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

4 Scopus citations

Abstract

Confidence interval construction the difference in mean event rates for two Index 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 are compared to those of the standard Wald interval for of observed events. A compromise method of constructing interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.

Original language	English
Pages (from-to)	3071-3081
Journal	Communications in Statistics, Theory and Methods
Volume	20
DOIs	https://doi.org/10.1080/03610929108830688
State	Published - 1991

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10.1080/03610929108830688

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@article{1d7d183982564081a175bb3354fa0b50,

title = "Confidence intervals for the comparison of two Poisson distributions",

abstract = "Confidence interval construction the difference in mean event rates for two Index 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 are compared to those of the standard Wald interval for of observed events. A compromise method of constructing interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.",

author = "Weissfeld, \{Lisa A.\} and \{St. Laurent\}, \{Roy T.\} and Moulton, \{Lawrence H.\} and \{St Laurent\}, \{Roy T\}",

year = "1991",

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language = "English",

volume = "20",

pages = "3071--3081",

journal = "Communications in Statistics, Theory and Methods",

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TY - JOUR

T1 - Confidence intervals for the comparison of two Poisson distributions

AU - Weissfeld, Lisa A.

AU - St. Laurent, Roy T.

AU - Moulton, Lawrence H.

AU - St Laurent, Roy T

PY - 1991

Y1 - 1991

N2 - Confidence interval construction the difference in mean event rates for two Index 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 are compared to those of the standard Wald interval for of observed events. A compromise method of constructing interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.

AB - Confidence interval construction the difference in mean event rates for two Index 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 are compared to those of the standard Wald interval for of observed events. A compromise method of constructing interval based on the data is suggested and its properties are evaluated. The method is illustrated in several examples.

U2 - 10.1080/03610929108830688

DO - 10.1080/03610929108830688

M3 - Article

VL - 20

SP - 3071

EP - 3081

JO - Communications in Statistics, Theory and Methods

JF - Communications in Statistics, Theory and Methods

ER -

Confidence intervals for the comparison of two Poisson distributions

Abstract

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