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Exact Selective Inference with Randomization

Snigdha PanigrahiKevin FryJonathan Taylor
Dec 2022
摘要
We introduce a pivot for exact selective inference with randomization. Notonly does our pivot lead to exact inference in Gaussian regression models, butit is also available in closed form. We reduce the problem of exact selectiveinference to a bivariate truncated Gaussian distribution. By doing so, we giveup some power that is achieved with approximate inference in Panigrahi andTaylor (2022). Yet we always produce narrower confidence intervals than aclosely related data-splitting procedure. For popular instances of Gaussianregression, this price -- in terms of power -- in exchange for exact selectiveinference is demonstrated in simulated experiments and in an HIV drugresistance analysis.
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