Random Assignment Processes

DOI: 10.5176/2251-1938_ORS46

Authors: Ricardo Velez Ibarrola and Tomas Prieto-Rumeau

Abstract:

In the framework of random assignment processes, which randomly assign an index, within a finite set of labels, to the points of an arbitrary set, we propose sufficient conditions for a family of finite-valued nonexchangeable random variables to verify a De Finetti theorem, meaning that they are conditionally independent given some other random variable. By the way, the analysis of random assignments process gives some interesting strong laws of large numbers. 2010 MSC: 60G09

Keywords: Random assignment processes; Exchangeability; Strong laws of large numbers; De Finetti theorem