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Comparison of ML and OLS Estimators in Discriminant Analysis of Spatially Correlated Observations
Volume 13, Issue 2 (2002), pp. 227–238
Jūratė Šaltytė   Kęstutis Dučinskas  

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https://doi.org/10.3233/INF-2002-13206
Pub. online: 1 January 2002      Type: Research Article     

Received
1 November 2001
Published
1 January 2002

Abstract

The problem of supervised classification of the realisation of the stationary univariate Gaussian random field into one of two populations with different means and factorised covariance matrices is considered. Unknown means and the common covariance matrix of the feature vector components are estimated from spatially correlated training samples assuming spatial correlation to be known. For the estimation of unknown parameters two methods, namely, maximum likelihood and ordinary least squares are used. The performance of the plug-in discriminant functions is evaluated by the asymptotic expansion of the misclassification error. A set of numerical calculations is done for the spherical spatial correlation function.

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Keywords
Bayesian classification rule linear discriminant function training samples misclassification probability estimators asymptotic expansion

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INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
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