FIRST INTERNATIONAL SYMPOSIUM ON
IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

Ghent, Belgium
30 June - 2 July 1999

ELECTRONIC PROCEEDINGS

Thomas Augustin

Globally Least Favorable Pairs and Neyman-Pearson Testing under Interval Probability

Abstract

The paper studies the Generalized Neyman-Pearson problem where both hypotheses are described by interval probability. First the Huber-Strassen theorem and the literature based on it is reviewed. Then some recent results are presented indicating that the restrictive assumption of C-probability (two monotonicity) underlying all that work can be overcome in favor of considering general interval probability in sense of Weichselberger.

Keywords. Interval probability, F-probability, capacities, Neyman-Pearson testing, Huber-Strassen theorem, generalized neighborhood models, least favorable pseudo-capacities

The paper is available in the following formats:

Authors addresses:

Dr. Thomas Augustin
Department of Statistics
Ludwig Maximilians University
Akademiestr. 1
D 80799 M"unchen

E-mail addresses:

Thomas Augustin thomas@stat.uni-muenchen.de

Related Web Sites

Thomas Augustin


[ back to the Proceedings of ISIPTA '99 home page 
Send any remarks to the following address: smc@decsai.ugr.es