Title :
On Bayes Risk Consistent Pattern Recognition Procedures in a Quasi-Stationary Environment
Author :
Rutkowski, Leszek
Author_Institution :
Department of Electrical Engineering, Technical University of Cz¿stochawa, Cz¿stochowa, Poland.
Abstract :
Van Ryzin and Greblicki showed that pattern recognition procedures derived from orthogonal series estimates of a probability density function are Bayes risk consistent. In this note it is proved that these procedures do not lose-under some additional conditions-their asymptotic properties even if the random environment is nonstationary.
Keywords :
Density measurement; Image segmentation; Labeling; Layout; Nearest neighbor searches; Pattern recognition; Probability density function; Random variables; Relaxation methods; Nonparametric procedures; nonstationary environ-ment; orthogonal series; pattern recognition;
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
DOI :
10.1109/TPAMI.1982.4767201
