Discriminant Analysis of Binary Data with Multinomial Distribution by Using the Iterative Cross Entropy Minimization Estimation

- Journal title : Communications for Statistical Applications and Methods
- Volume 12, Issue 1, 2005, pp.125-137
- Publisher : The Korean Statistical Society
- DOI : 10.5351/CKSS.2005.12.1.125

Title & Authors

Discriminant Analysis of Binary Data with Multinomial Distribution by Using the Iterative Cross Entropy Minimization Estimation

Lee Jung Jin;

Lee Jung Jin;

Abstract

Many discriminant analysis models for binary data have been used in real applications, but none of the classification models dominates in all varying circumstances(Asparoukhov & Krzanowski(2001)). Lee and Hwang (2003) proposed a new classification model by using multinomial distribution with the maximum entropy estimation method. The model showed some promising results in case of small number of variables, but its performance was not satisfactory for large number of variables. This paper explores to use the iterative cross entropy minimization estimation method in replace of the maximum entropy estimation. Simulation experiments show that this method can compete with other well known existing classification models.

Keywords

Discriminant Analysis;Binary Data;Multinomial Distribution;Cross Entropy;

Language

English

Cited by

1.

Cluster Analysis with Balancing Weight on Mixed-type Data,;;;

2.

Cluster Analysis Using Principal Coordinates for Binary Data,;;

References

1.

이정진, 황준 (2003). Discriminant Analysis of Binary Data by Using the Maximum Entropy Distribution, '한국통계학회논문집', 제10권, 제3호, 909-917

2.

이정진, 김수관 (2002). Classification Analysis in Information Retrieval by Using Gauss Patterns, '한국통계학회논문집', 제9권, 제1호, 1-11

3.

Asparoukhov, O.K. and Krzanowski, W.J. (2001). A comparison of discriminant procedures for binary variables. Computational Statistics and Data Analysis, 38, 139-160

4.

Cramer, E. (2000). Probability Measures with Given Marginals and Conditionals: . I-Projections and Conditional Iterative Proportional Fitting, Statistics & Decisions, Vol 18, 311-329

5.

Duda, R.O., Hart, P.E., and Stork, D.G. (2001). Pattern Classification, Wiley

6.

Johnson, R. and Wichern, D. (1988). Applied Multivariate Statistical Analysis, Prentice Hall

7.

Ireland, C.T. and Kullback, S. (1968). Contingency tables with given marginals, Biometrika, Vol 55, 1, 179-188

8.

Lachenbruch (1981). Discriminant Analysis, Prentice Hall