Efficient estimation of relative risk, odds ratio and their logarithms for rare events

Luis Mendo

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arXiv · 2604.04278

Efficient estimation of relative risk, odds ratio and their logarithms for rare events

Luis Mendo

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Abstract

Sequential estimators are proposed for the relative risk, odds ratio, log relative risk or log odds ratio of a dichotomous attribute in two populations. The estimators take the same number of observations from each population, and guarantee that the relative mean-square error for the relative risk or odds ratio, or the mean-square error for their logarithmic versions, is less than a given target. The efficiency of the estimators, defined in terms of the Cram\'er-Rao bound, is high when the considered attribute is rare or moderately rare.

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Luis Mendo. 2026-04-05. Efficient estimation of relative risk, odds ratio and their logarithms for rare events. https://arxiv.org/abs/2604.04278

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