3rd International Symposium on
Imprecise Probabilities and Their Applications

ISIPTA '03

University of Lugano
Lugano, Switzerland
14-17 July 2003

ELECTRONIC PROCEEDINGS

Marcus Hutter

Robust Estimators under the Imprecise Dirichlet Model

Abstract

Walley's Imprecise Dirichlet Model (IDM) for categorical data overcomes several fundamental problems which other approaches to uncertainty suffer from. Yet, to be useful in practice, one needs efficient ways for computing the imprecise=robust sets or intervals. The main objective of this work is to derive exact, conservative, and approximate, robust and credible interval estimates under the IDM for a large class of statistical estimators, including the entropy and mutual information.

Keywords. Imprecise Dirichlet Model; exact, conservative, approximate, robust, confidence interval estimates; entropy; mutual information.

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Authors addresses:

Galleria 2
CH-6928 Manno-Lugano

E-mail addresses:

Marcus Hutter marcus@idsia.ch

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