Paper Info
Title
Anatomy of a domain of continuous random variables I
Abstract
In this paper we study the family of thin probability measures on the domain A^~ of finite and infinite words over a finite alphabet A. This structure is inspired by work of Jean Goubault-Larrecq and Daniele Varacca, who recently proposed a model of continuous random variables over bounded complete domains. Their presentation leaves out many details, and also misses some motivations. In this and a related paper we attempt to fill in some of these details, and in the process, we reveal some features of their model. Our approach to constructing the thin probability measures uses domain theory, and we show the family forms a bounded complete algebraic domain over A^~. In the second paper in this series, we explore using the thin probability measures to reconstruct the bounded complete domain of continuous random variables over any bounded complete domain due originally to Goubault-Larrecq and Varacca.
Year
DOI
Venue
2014
10.1016/j.tcs.2014.03.008
Theoretical Computer Science
Keywords
DocType
Volume
bounded complete domain,lawson-compact antichain,random variable,thin probability measure
Journal
546
Issue
ISSN
Citations 
1
0304-3975
2
PageRank 
References 
Authors
0.42
13
1
Name
Order
Citations
PageRank
Michael Mislove1968.78