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Characterization of rankings generated by linear discriminant analysis

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  • Kamiya, Hidehiko
  • Takemura, Akimichi

Abstract

Pairwise linear discriminant analysis can be regarded as a process to generate rankings of the populations. But in general, not all rankings are generated. We give a characterization of generated rankings. We also derive some basic properties of this model.

Suggested Citation

  • Kamiya, Hidehiko & Takemura, Akimichi, 2005. "Characterization of rankings generated by linear discriminant analysis," Journal of Multivariate Analysis, Elsevier, vol. 92(2), pages 343-358, February.
    • Handle: RePEc:eee:jmvana:v:92:y:2005:i:2:p:343-358
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    References listed on IDEAS

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    1. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(4), pages 493-513, December.
    2. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Social Choice: A Mean Voter Theorem," Econometrica, Econometric Society, vol. 59(1), pages 1-23, January.
    3. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    4. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-330, March.
    5. Hidehiko Kamiya & Akimichi Takemura, 1998. "Rankings Generated by Spherical Discriminant Analysis," CIRJE F-Series CIRJE-F-15, CIRJE, Faculty of Economics, University of Tokyo.
    6. Clare, Andrew & Priestley, Richard, 2002. "Calculating the probability of failure of the Norwegian banking sector," Journal of Multinational Financial Management, Elsevier, vol. 12(1), pages 21-40, February.
    7. Kamiya, Hidehiko & Takemura, Akimichi, 1997. "On Rankings Generated by Pairwise Linear Discriminant Analysis of m Populations," Journal of Multivariate Analysis, Elsevier, vol. 61(1), pages 1-28, April.
    8. Yoshio Takane & Hamparsum Bozdogan & Tadashi Shibayama, 1987. "Ideal point discriminant analysis," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 371-392, September.
    Full references (including those not matched with items on IDEAS)

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