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Characterization of rankings generated by linear discriminant analysis

  • Kamiya, Hidehiko
  • Takemura, Akimichi
Registered author(s):

    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.

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    File URL: http://www.sciencedirect.com/science/article/B6WK9-4B667TT-5/2/95fe07fd8f58ced20de27453f6bad019
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    Article provided by Elsevier in its journal Journal of Multivariate Analysis.

    Volume (Year): 92 (2005)
    Issue (Month): 2 (February)
    Pages: 343-358

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    Handle: RePEc:eee:jmvana:v:92:y:2005:i:2:p:343-358
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    1. A. P. Thirlwall, 1983. "Introduction," Journal of Post Keynesian Economics, M.E. Sharpe, Inc., vol. 5(3), pages 341-344, April.
    2. Yoshio Takane & Hamparsum Bozdogan & Tadashi Shibayama, 1987. "Ideal point discriminant analysis," Psychometrika, Springer, vol. 52(3), pages 371-392, September.
    3. Andrew Caplin & Barry Nalebuff, 1990. "Aggregation and Social Choice: A Mean Voter Theorem," Cowles Foundation Discussion Papers 938, Cowles Foundation for Research in Economics, Yale University.
    4. Yoshio Takane, 1987. "Analysis of contingency tables by ideal point discriminant analysis," Psychometrika, Springer, vol. 52(4), pages 493-513, December.
    5. A. Meltzer & Peter Ordeshook & Thomas Romer, 1983. "Introduction," Public Choice, Springer, vol. 41(1), pages 1-5, January.
    6. Grandmont, Jean-Michel, 1978. "Intermediate Preferences and the Majority Rule," Econometrica, Econometric Society, vol. 46(2), pages 317-30, March.
    7. Caplin, Andrew S & Nalebuff, Barry J, 1988. "On 64%-Majority Rule," Econometrica, Econometric Society, vol. 56(4), pages 787-814, July.
    8. 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.
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