Communications for Statistical Applications and Methods

  • 제12권1호
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  • Pages.125-137
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  • 2005
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  • 2287-7843(pISSN)
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  • 2383-4757(eISSN)
한국통계학회 (The Korean Statistical Society)
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Discriminant Analysis of Binary Data with Multinomial Distribution by Using the Iterative Cross Entropy Minimization Estimation

  • Lee Jung Jin (Department of Statistics, Soong Sil University)
  • 발행 : 2005.04.01
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초록

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.

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참고문헌

  1. 이정진, 황준 (2003). Discriminant Analysis of Binary Data by Using the Maximum Entropy Distribution, '한국통계학회논문집', 제10권, 제3호, 909-917 https://doi.org/10.5351/CKSS.2003.10.3.909
  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 https://doi.org/10.1016/S0167-9473(01)00032-9
  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 https://doi.org/10.1093/biomet/55.1.179
  8. Lachenbruch (1981). Discriminant Analysis, Prentice Hall
  9. Kantor, P.B. and Lee, J.J. (1998). Testing the Maximum Entropy Principle for Information Retrieval. Journal of American Society for Irformation Science, Vol 49, 6, 557-566 https://doi.org/10.1002/(SICI)1097-4571(19980501)49:6<557::AID-ASI7>3.0.CO;2-G

피인용 문헌

  1. Discriminant analysis of binary data following multivariate Bernoulli distribution vol.38, pp.6, 2011, https://doi.org/10.1016/j.eswa.2010.12.126