Quantifying non-monotonicity of functions and the lack of positivity in signed measures
arXiv:1705.02742 · doi:10.15559/17-VMSTA84
Abstract
In various research areas related to decision making, problems and their solutions frequently rely on certain functions being monotonic. In the case of non-monotonic functions, one would then wish to quantify their lack of monotonicity. In this paper we develop a method designed specifically for this task, including quantification of the lack of positivity, negativity, or sign-constancy in signed measures. We note relevant applications in Insurance, Finance, and Economics, and discuss some of them in detail.
Published at http://dx.doi.org/10.15559/17-VMSTA84 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)