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Can forbidden zones for the expectation explain noise influence in behavioral economics and decision sciences?

Harin, Alexander (2017): Can forbidden zones for the expectation explain noise influence in behavioral economics and decision sciences?

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Abstract

The present article is devoted to discrete random variables that take a limited number of values in finite closed intervals. I prove that if non-zero lower bounds exist for the variances of the variables, then non-zero bounds or forbidden zones exist for their expectations near the boundaries of the intervals. This article is motivated by the need in rigorous theoretical support for the analysis of the influence of scattering and noise on data in behavioral economics and decision sciences.

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