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Biometrika 1974 61(2):385-386; doi:10.1093/biomet/61.2.385
© 1974 by Biometrika Trust
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MISCELLANEA

The variance of the inverse binomial estimator

D. J. BEST

C.S.I.R.O. North Ryde, New South Wales

A closed form for the variance of the unbiased estimator of the proportion defective in a population, derived by inverse binomial sampling, is given. Comparisons are made with the maximum likelihood estimator which indicate that the unbiased estimator has greater efficiency and smaller mean squared error.

Key Words: Comparison of sampling variances • Estimation of proportion defective • Inverse binomial • Mean squared error of estimates • Sequential sampling


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