Minimal Complete Classes of Tests of Hypotheses with Multivariate One-Sided Alternatives

Minimal Complete Classes of Tests of Hypotheses with Multivariate One-Sided Alternatives

In this paper we present minimal complete class theorems for testing problems with simple null hypotheses and multivariate one-sided alternative hypotheses. The results extend previous ones by not requiring that the tests be based on exponentially distributed random variables or that the null and al...

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Veröffentlicht in:The Annals of statistics 1982-09, Vol.10 (3), p.962-970
1. Verfasser: Marden, John I.
Format: Artikel
Sprache:eng
Schlagworte:
62C07
62C10
62C15
62F05
62H15
admissibility
Analysis of variance
Average linear density
Bayes tests
C2H20
C2J10
Correlation coefficients
Density
hypothesis testing
invariant tests
Mathematics
Minimal complete class
multivariate analysis
Null set
Perceptron convergence procedure
Topology
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Beschreibung
Zusammenfassung:In this paper we present minimal complete class theorems for testing problems with simple null hypotheses and multivariate one-sided alternative hypotheses. The results extend previous ones by not requiring that the tests be based on exponentially distributed random variables or that the null and alternative parameter spaces be topologically separated.
ISSN:0090-5364
2168-8966
DOI:10.1214/aos/1176345886