A Sufficient Statistic for Con‐invariant Test Problems | Zendy

Schindler Werner | Zendy

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A Sufficient Statistic for Con‐invariant Test Problems

Author(s) -

Schindler Werner

Publication year - 1994

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.19941690118

Subject(s) - mathematics , statistic , invariant (physics) , test statistic , lie group , test (biology) , construct (python library) , symmetry (geometry) , pure mathematics , statistics , combinatorics , discrete mathematics , statistical hypothesis testing , geometry , mathematical physics , computer science , paleontology , biology , programming language

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.

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