Please use this identifier to cite or link to this item:
Title: Why some families of probability distributions are practically efficient: A symmetry-based explanation
Authors: Vladik Kreinovich
Olga Kosheleva
Hung T. Nguyen
Songsak Sriboonchitta
Keywords: Computer Science
Issue Date: 1-Jan-2016
Abstract: © Springer International Publishing Switzerland 2016. Out of many possible families of probability distributions, some families turned out to be most efficient in practical situations. Why these particular families and not others? To explain this empirical success, we formulate the general problem of selecting a distribution with the largest possible utility under appropriate constraints. We then show that if we select the utility functional and the constraints which are invariant under natural symmetries—shift and scaling corresponding to changing the starting point and the measuring unit for describing the corresponding quantity x— then the resulting optimal families of probability distributions indeed include most of the empirically successful families. Thus, we get a symmetry-based explanation for their empirical success.
ISSN: 1860949X
Appears in Collections:CMUL: Journal Articles

Files in This Item:
There are no files associated with this item.

Items in CMUIR are protected by copyright, with all rights reserved, unless otherwise indicated.