DocumentCode :
923639
Title :
On the continuity of the error distortion function for multiple-hypothesis decisions (Corresp.)
Author :
Farago, T. ; Gyorfi, Laszlo
Volume :
21
Issue :
4
fYear :
1975
fDate :
7/1/1975 12:00:00 AM
Firstpage :
458
Lastpage :
460
Abstract :
Analogously to the rate distortion function, the error distortion function is defined for a multiple-hypothesis decision problem. The error distortion function 
is defined as the supremum of the Bayes\´ error probability for transformed observations for which the average distortion is less than 
The main result is that the function is continuous at O.
is defined as the supremum of the Bayes\´ error probability for transformed observations for which the average distortion is less than The main result is that the function is continuous at O.Keywords :
Bayes procedures; Decision procedures; Distortion measurement; Electrons; Error probability; Extraterrestrial measurements; Feature extraction; Nonlinear distortion; Q measurement; Random variables; Rate-distortion; Upper bound;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1975.1055412
Filename :
1055412
Link To Document :
