Parametric and Nonparametric Discrimination for Categorical Variables

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Authors

FORBELSKÁ Marie ČERMÁKOVÁ Anna

Year of publication 2004
Type Article in Proceedings
Conference Summer School DATASTAT 03 Folia Facultatis Scientiarum Naturalium Universitatis Masarykianae Brunensis
MU Faculty or unit

Faculty of Science

Citation
Field Applied statistics, operation research
Keywords multinomial classification; parametric and nonparametric discriminant analysis; kernel density estimation; product kernels; bandwidth choice; multivariate binary data; unordered categorical data
Description The problem discussed here is that of discriminating between groups on the basis of m categorical variables. Two main approaches to discriminant analysis are explained with respect to the use of either parametric (based on multinomial distribution) or nonparametric (based on the kernel density estimation) models. An example is given to illustrate the methods.
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