On upper limits to the difference in bias between two ratio estimates

SummaryIn this short paper upper limits to the difference in bias between two ratio estimates relative to the standard error of the difference are given. The estimates compared may have their basis in any type of probability sample. When the two ratio estimates are either independent or negatively correlated the limit under consideration always exists and its expression is simple. On the other hand when the estimates are positively correlated the limit exists, but is subject to the rare qualification that the standard errors of the two estimates are unequal.

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