A Short Note on the Equivalence of the Ontic and the Epistemic View on Data Imprecision for the Case of Stochastic Dominance for Interval-Valued Data

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Georg Schollmeyer ;
Proceedings of the Eleventh International Symposium on Imprecise Probabilities: Theories and Applications, PMLR 103:330-337, 2019.

Abstract

In the context of the analysis of interval-valued or set-valued data it is often emphasized that one has to carefully distinguish between an epistemic and an ontic understanding of set-valued data. However, there are cases, for which an ontic and an epistemic view do still lead to exactly the same results of the corresponding data analysis. The present paper is a short note on this fact in the context of the analysis of stochastic dominance for interval-valued data.

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