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Tests statistiques sur les distributions de Dirichlet. (French) Zbl 0575.62023

Stat. Anal. Données 9, No. 3, 45-74 (1984).

Dirichlet’s distribution and its associated statistical family are defined on unit simplex of the Euclidean space \(R^ M\) (M\(\geq 2)\). They depend on M positive scalar parameters \(a_ i\). We examine statistical tests (one and two sided) about one particular \(a_ i\), the others being known or not (nuisance parameters). We study also another parametrization.

MSC:

62F03

Parametric hypothesis testing

Keywords:

Dirichlet’s distribution; unit simplex; nuisance parameters

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