On the absolute bias ratio of ratio estimators

Xiao-Li Meng

Statistics & Probability Letters, 1993, vol. 18, issue 5, 345-348

Abstract: The elegant Hartley--Ross inequality on the absolute bias ratio (ABR [reverse not equivalent] Bias /S.E.) of a ordinary ratio estimator is here generalized to that of a separate ratio estimator with stratified sampling. It is shown that, as long as the numerators and denominators used to form strata ratios are unbiased estimators, the absolute bias ratio of a separate ratio estimator will never exceed the square root of the sum of squares of the coefficient of variation of the denominators across strata. This provides, at design stages, a simple bound in practice to assess the limit and magnitude of the bias ratio of any separate ratio estimator that shares the same denominators. Exact expressions for biases of separate ratio estimators are also given.

Keywords: Combined; ratio; estimator; separate; ratio; estimator; stratified; sampling (search for similar items in EconPapers)
Date: 1993
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Citations: View citations in EconPapers (3)

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