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Statistical Pattern Recognition Principles

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International Encyclopedia of Statistical Science

Problem Description

Mathematically, pattern recognition is a classification problem. Consider the recognition of characters. We wish to design a system such that a handwritten symbol will be recognized as an “A,” a “B,” etc. In other words, the machine we design must classify the observed handwritten character into one of 26 classes. The handwritten characters are often ambiguous, and there will be misclassified characters. The major goal in designing a pattern recognition machine is to have a low probability of misclassification.

There are many problems that can be formulated as pattern classification problems. For example, the weather may be divided into three classes, fair, rain, and possible rain, and the problem is to classify tomorrow’s weather into one of these three classes. In the recognition of electrocardiograms, the classes are disease categories plus the class of normal subjects. In binary data transmission, a “one” and a “zero” are represented by signals of amplitudes A...

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References and Further Reading

  • Abramowitz M, Stegun IA (1964) Handbook of mathematical functions. National Bureau of Standards, New York

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  • Bishop CM (2006) Pattern recognition and machine learning. Springer, New York

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  • Nechval NA (1992) Radar CFAR thresholding in clutter under detection of airborne birds. In: Proceedings of the 21st meeting of bird strike committee Europe. BSCE, Jerusalem, pp 127–140

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  • Nechval NA (1997) Adaptive CFAR tests for detection of a signal in noise and deflection criterion. In: Wysocki T, Razavi H, Honary B (eds) Digital signal processing for communication systems. Kluwer, Boston, pp 177–186

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  • Nechval NA, Nechval KN (1998) Recognition of applicant for project realization with good contract risk. In: Pranevicius H, Rapp B (eds) Organisational structures, management, simulation of business sectors and systems. Kaunas University of Technology, Lithuania, pp 70–72

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  • Nechval NA, Nechval KN (1999) CFAR test for moving window detection of a signal in noise. In: Proceedings of the 5th international symposium on DSP for communication systems, Curtin University of Technology, Perth-Scarborough, pp 134–141

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  • Nechval NA, Nechval KN, Srelchonok VF, Vasermanis EK (2004) Adaptive CFAR tests for detection and recognition of targets signals in radar clutter. In: Berger-Vachon C, Gil Lafuente AM (eds) The 2004 conferences best of. AMSE Periodicals, Barcelona, pp 62–80

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© 2011 Springer-Verlag Berlin Heidelberg

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Nechval, N.A., Nechval, K.N., Purgailis, M. (2011). Statistical Pattern Recognition Principles. In: Lovric, M. (eds) International Encyclopedia of Statistical Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04898-2_550

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