Title
Hyper Normalisation and Conditioning for Discrete Probability Distributions.
Abstract
Normalisation in probability theory turns a subdistribution into a proper distribution. It is a partial operation, since it is unde fined for the zero subdistribution. This partiality makes it hard to reason equationally about normalisation. A novel description of normalisation is given as a mathematically well-behaved total function. The output of this 'hyper' normalisation operation is a distribution of distributions. It improves reasoning about normalisation. After developing the basics of this theory of (hyper) normalisation, it is put to use in a similarly new description of conditioning, producing a distribution of conditional distributions. This is used to give a clean abstract reformulation of refinement in quantitative information flow.
Year
DOI
Venue
2017
10.23638/LMCS-13(3:17)2017
LOGICAL METHODS IN COMPUTER SCIENCE
DocType
Volume
Issue
Journal
13
3
ISSN
Citations 
PageRank 
1860-5974
2
0.38
References 
Authors
11
1
Name
Order
Citations
PageRank
B. Jacobs11046100.09