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Biometrika 1986 73(3):583-588; doi:10.1093/biomet/73.3.583
© 1986 by Biometrika Trust
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Asymptotic properties of moment estimators for overdispersed counts and proportions

DIRK F. MOORE

Division of Biostatistics, Dana-Farber Cancer Institute Boston, Massachusetts 02115, U.S.A.

Consistency and asymptotic normality of moment estimates of regression parameters and an overdispersion parameter are shown for data with extra-binomial and extra-Poisson variation. The asymptotic covariance of the regression parameters is found to be unaffected by estimation of the overdispersion parameter. The moment estimates may be obtained using iterated weighted least squares.

Key Words: Extra-binomial and extra-Poisson variation • Method of moments • Overdispersion • Uniform consistency


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