Regular choice systems: A general technique to represent them by random variables

Autor:	Reinhard Suck
Rok vydání:	2016
Předmět:	Discrete mathematics Algebra Generalization Applied Mathematics Regular polygon Polytope Möbius function Representation (mathematics) Random variable General Psychology Data matrix (multivariate statistics) Mathematics Connection (mathematics)
Zdroj:	Journal of Mathematical Psychology. 75:110-117
ISSN:	0022-2496
DOI:	10.1016/j.jmp.2016.04.003
Popis:	Regular choice systems and their random utility representations are investigated. A generalization of the derivation of the Block–Marschak conditions, based on the Mobius function of a partial order is presented. The technique is demonstrated in connection with two examples. The first is similar to complete choice data. In the second example a complete characterization of the ensuing polytope is obtained including a procedure to explicitly derive a convex representation of a data matrix if it is in the polytope.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3619631e3b11d834b77c1049fe7dd1e2 https://doi.org/10.1016/j.jmp.2016.04.003 Zobrazit plný text záznamu Full Text from ScienceDirect