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Regular version of the site

Book chapter

The fuzzy representation of prior information for separating outliers in statistical experiments.

P. 167-174.
Bronevich A. G., Мацыпаев Д. А.

The paper presents a new fuzzy set based description which helps to distinguish the expected values of the statistical experiment from the outliers. Since the Neyman-Pearson criterion is not adequate in some real applications for such purpose, we propose to use triangular norms for conjuction of two propositions about typical and non-typical values and describe both of them as a fuzzy set that is called the typical transform. We also investigate such a property of the typical transform as stability.

In book

The fuzzy representation of prior information for separating outliers in statistical experiments.
Edited by: P. Grzegorzewski, M. Gagolewsi, O. Hryniewicz et al. Vol. 315. Heidelberg; NY; Dordrecht; L.: Springer, 2015.