Properties of the nonparametric decision function with a priori information on independence of attributes of classified objects
Aleksandr V. Lapko, Vasiliy A. Lapko · Optoelectronics Instrumentation and Data Processing · 2012
Asymptotic properties of a nonparametric estimate of the separating surface equation defined in the space of independent attributes of classified objects are studied. Based on this analysis, the importance of the influence of a priori information about independence of random variables on the approximation properties of the nonparametric decision function in a two-alternative problem of pattern recognition is established.