Open AccessEffect of anisotropy coeficient on error rates of linear discriminant functions
Author(s) -
Kęstutis Dučinskas,
Lina Dreižienė
Publication year - 2021
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2007.24228
Subject(s) - mathematics , statistics , covariance , linear discriminant analysis , anisotropy , gaussian , word error rate , type i and type ii errors , pattern recognition (psychology) , bayes error rate , discriminant , bayesian probability , artificial intelligence , bayes' theorem , computer science , physics , bayes classifier , quantum mechanics
Paper deals with statistical classification of spatial data as a part of widely applicable statistical approach to pattern recognition. Error rates in supervised classification of Gaussian random field observation into one of two populations specified by different constant means and common stationary geometric anisotropic covariance are considered. Formula for the exact Bayesian error rate is derived. The influence of the ratio of anisotropy to the error rates is evaluated numerically for the case of complete parametric certainty.