Effect of anisotropy coeficient on error rates of linear discriminant functions
Articles
Kęstutis Dučinskas
Klaipedos University
Lina Dreižienė
Klaipedos University
Published 2021-06-14
https://doi.org/10.15388/LMR.2007.24228
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Keywords

geometric anisotropy
anisotropy ratio
Gaussian random field
equicorrelation
Bayesian discriminant function
actual error rate
expected error rate

How to Cite

Dučinskas, K. and Dreižienė, L. (2021) “Effect of anisotropy coeficient on error rates of linear discriminant functions”, Lietuvos matematikos rinkinys, 47(spec.), pp. 359–363. doi:10.15388/LMR.2007.24228.

Abstract

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.

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