A Sufficient Statistic for Con-invariant Test Problems

✍ Scribed by Werner Schindler

• Book ID: 102940222
• Publisher: John Wiley and Sons
• Year: 2006
• Tongue: English
• Weight: 909 KB
• Volume: 169
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19941690118

✦ Synopsis

Abstract

In this paper we will construct a sufficient statistic for test problems on G × G × … × G where G is a compact connected Lie group and every admissible hypothesis fulfills a particular symmetry condition. An explicit formula for this sufficient statistic will be derived for G = SO(n) which is the case of most practical interest.