Comparison of Performances of Plug-in Spatial Classification Rules based on Bayesian and ML Estimators

Kestutis Ducinskas, Egle Zikariene, Lina Dreiziene

2014

Abstract

The problem of classifying a scalar Gaussian random field observation into one of two populations specified by a different parametric drifts and common covariance model is considered. The unknown drift and scale parameters are estimated using given a spatial training sample. This paper concerns classification procedures associated to a parametric plug-in Bayes Rule obtained by substituting the unknown parameters in the Bayes rule by their estimators. The Bayesian estimators are used for the particular prior distributions of the unknown parameters. A closed-form expression is derived for the actual risk associated to the aforementioned classification rule. An estimator of the expected risk based on the derived actual risk is used as a performance measure for the classifier incurred by the plug-in Bayes rule. A stationary Gaussian random field with an exponential covariance function sampled on a regular 2-dimensional lattice is used for the simulation experiment. A critical performance comparison between the plug-in Bayes Rule defined above and a one based on ML estimators is performed.

Paper Citation

in Harvard Style

Ducinskas K., Zikariene E. and Dreiziene L. (2014). Comparison of Performances of Plug-in Spatial Classification Rules based on Bayesian and ML Estimators . In Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-758-018-5, pages 161-166. DOI: 10.5220/0004760701610166

in Bibtex Style

@conference{icpram14,
author={Kestutis Ducinskas and Egle Zikariene and Lina Dreiziene},
title={Comparison of Performances of Plug-in Spatial Classification Rules based on Bayesian and ML Estimators},
booktitle={Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},
year={2014},
pages={161-166},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004760701610166},
isbn={978-989-758-018-5},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - Comparison of Performances of Plug-in Spatial Classification Rules based on Bayesian and ML Estimators
SN - 978-989-758-018-5
AU - Ducinskas K.
AU - Zikariene E.
AU - Dreiziene L.
PY - 2014
SP - 161
EP - 166
DO - 10.5220/0004760701610166