A SUFFICIENT STATISTIC FOR CON-INVARIANT TEST PROBLEMS

Authors
SCHINDLER W
Citation
W. Schindler, A SUFFICIENT STATISTIC FOR CON-INVARIANT TEST PROBLEMS, Mathematische Nachrichten, 169, 1994, pp. 243-265
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
169
Year of publication
1994
Pages
243 - 265
Database
ISI
SICI code
0025-584X(1994)169:<243:ASSFCT>2.0.ZU;2-H
Abstract
In this paper we will construct a sufficient statistic for test proble ms on G x G x ... x G where G is a compact connected Lie group and eve ry 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.