Article

The Variance-Stabilizing Transformation for the Poisson Rate Ratio: Closed-Form Confidence Intervals

2026-07-18

Abstract excerpt

The incidence rate ratio R is the standard measure for comparing event rates in clinical trials and epidemiology. In vaccine trials, the vaccine efficacy is VE = 1− R . When events are rare, the two arm counts are Poisson. The estimator of R is heteroskedastic: its sampling variance changes with the data. So no fixed-width interval covers correctly everywhere. The usual log-Wald interval is undefined at zero ev...

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Literature Corpus work: 5723126b-073a-5de7-ba51-dd4ca64c11f1
DOI: 10.64898/2026.07.16.26358255

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