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Biometrika 1966 53(3-4):571-577; doi:10.1093/biomet/53.3-4.571
© 1966 by Biometrika Trust
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On two methods of bias reduction in the estimation of ratios

J. N. K. RAO and J. T. WEBSTER

Texas A and M University and Southern Methodist University

Quenouille's method of bias reduction, based on splitting the sample at random into groups, is applied to estimation of ratios and the optimum choice of the number of groups, g, is investigated assuming a model. It is shown that both the bias and variance of the estimator are decreasing functions of g. The estimator is compared with a modified ratio estimator assuming the same model.


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