Harin, Alexander (2015): An existence theorem for bounds on the expectation of a random variable. Its opportunities for utility theories. V. 2.

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Abstract
An existence theorem is proven for the case of a discrete random variable that can take on only a finite set of possible values. If the random variable takes on values in a finite interval and there is a lower nonzero bound on the modulus of (at least one) its central moment, then nonzero bounds on its expectation exist near the borders of the interval. The revealed bounds can be considered as “forbidden zones” for the expectation. They can be useful, e.g., in utility theories.
Item Type:  MPRA Paper 

Original Title:  An existence theorem for bounds on the expectation of a random variable. Its opportunities for utility theories. V. 2 
Language:  English 
Keywords:  probability theory; dispersion; scatter; scattering; noise; economics; utility theory; prospect theory; decision theories; human behavior; Prelec; probability weighting function; 
Subjects:  C  Mathematical and Quantitative Methods > C1  Econometric and Statistical Methods and Methodology: General D  Microeconomics > D8  Information, Knowledge, and Uncertainty D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty 
Item ID:  67071 
Depositing User:  Alexander Harin 
Date Deposited:  04 Oct 2015 23:36 
Last Modified:  05 Oct 2019 16:40 
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URI:  https://mpra.ub.unimuenchen.de/id/eprint/67071 