| Title |
Quadratic discriminant analysis of spatially correlated data |
| Translation of Title |
Erdviniai koreliuotų duomenų kvadratinė diskriminantinė analizė. |
| Authors |
Dučinskas, K ; Šaltytė, J |
| DOI |
10.15388/NA.2001.6.1.15212 |
| Full Text |
|
| Is Part of |
Nonlinear analysis : modelling and control.. Vilnius : Institute of Mathematics and Informatics. 2001, vol. 6, no. 2, p. 15-28.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
Bayesian classification rule ; quadratic discriminant function ; training samples ; expected error rate ; asymptotic expansion |
| Abstract [eng] |
The problem of classification of the realisation of the stationary univariate Gaussian random field into one of two populations with different means and different factorised covariance matrices is considered. In such a case optimal classification rule in the sense of minimum probability of misclassification is associated with non-linear (quadratic) discriminant function. Unknown means and the covariance matrices of the feature vector components are estimated from spatially correlated training samples using the maximum likelihood approach and assuming spatial correlations to be known. Explicit formula of Bayes error rate and the first-order asymptotic expansion of the expected error rate associated with quadratic plug-in discriminant function are presented. A set of numerical calculations for the spherical spatial correlation function is performed and two different spatial sampling designs are compared. |
| Published |
Vilnius : Institute of Mathematics and Informatics |
| Type |
Journal article |
| Language |
English |
| Publication date |
2001 |
| CC license |
|
