On Bayes Risk Consistent Pattern Recognition Procedures in a Quasi-Stationary Environment

Authors:
Leszek Rutkowski
Affiliations:
Department of Electrical Engineering, Technical University of Częstochawa, Częstochowa, Poland.
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1982

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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.