Note on continuity of information rate
type: Item
instance of: scholarly article
title: Note on continuity of information rate
zbMATH Open document ID: 0759.94003
author: Naohumi Muraki
author: Masanori Ohya
published in: Illinois Journal of Mathematics
publication date: 1993-02-10T00:00:00Z
review text: The continuity property of the information rate is studied for finite alphabet communication processes. In three topologies of the input probability measures (``set-wise'' convergence, ``cylinder-wise'' convergence, Ornstein's \(\bar d\) distance). In particular, it is shown that for finite-memory stationary channels the information rate is continuous in the Ornstein \(\bar d\) distance.
Mathematics Subject Classification ID: 94A40
Mathematics Subject Classification ID: 94A15
zbMATH DE Number: 119917
zbMATH Keywords: information rate
zbMATH Keywords: finite alphabet communication processes
zbMATH Keywords: Ornstein's \(\bar d\) distance
zbMATH Keywords: finite-memory stationary channels
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 119917