An approach theoretic version of Anscombe's theorem with an application in biostatistics

TL;DR

This paper develops an approach theoretic version of Anscombe's theorem and applies it to validate confidence intervals in group sequential trials within biostatistics.

Contribution

It introduces a novel approach theoretic framework for Anscombe's theorem and demonstrates its application in biostatistics for confidence interval justification.

Findings

Validated confidence intervals post group sequential trials

Extended Anscombe's theorem using approach theory

Provided theoretical foundation for biostatistical methods

Abstract

We establish an approach theoretic version of Anscombe's theorem, which we apply to justify the use of confidence intervals based on the sample mean after a group sequential trial.