Some recent development in multiple inference



Sture Holm
Mathematical Statistics
Chalmers and Göteborg University


Abstract

A review will be given of branches of the development of multiple inference the past twenty years. During this period there has been a major development of closed tests, step down tests and step up tests. The important questions of directional methods has received much interest but only a few scattered results are obtained. In recent years there has been developed some methods for multiple confidence sets related to stagewise tests. Are they reasonable and possible to use? What new ideas are appearing in multiple inference?