DocumentCode :
909920
Title :
The amount of information that y gives about X
Author :
Blachman, Netson M.
Volume :
14
Issue :
1
fYear :
1968
fDate :
1/1/1968 12:00:00 AM
Firstpage :
27
Lastpage :
31
Abstract :
No single measure 
of the amount of information that a specific value 
of a random variable 
gives about another random variable 
has all of the desirable properties possessed by Shannon\´s measure 
of the average mutual information of and . It is shown that one of these properties (additivity) determines one particular form for , while others (non-negativity or coordinate independance) determine a different form. The latter, which is the more useful and accepted information measure, is thus seen to be unique.
of the amount of information that a specific value of a random variable gives about another random variable has all of the desirable properties possessed by Shannon\´s measure of the average mutual information of and . It is shown that one of these properties (additivity) determines one particular form for , while others (non-negativity or coordinate independance) determine a different form. The latter, which is the more useful and accepted information measure, is thus seen to be unique.Keywords :
Information theory; Random variables; Coordinate measuring machines; Entropy; Helium; Marine vehicles; Mutual information; Particle measurements; Q measurement; Random variables;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1968.1054094
Filename :
1054094
Link To Document :
