Valid confidence intervals for post-model-selection predictors

Understand

We consider inference post-model-selection in linear regression.

• In this setting, Berk et al.(2013) recently introduced a class of confidence sets, the so-called PoSI intervals, that cover a certain non-standard quantity of interest with a user-specified minimal coverage probability, irrespective of the model selection procedure that is being used.
• In this paper, we generalize the PoSI intervals to post-model-selection predictors.