Skip to main content
Log in

A random packing model for elections

  • Published:
Annals of the Institute of Statistical Mathematics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. Aoyama, H. (1962). Note on ordered random intervals and its application,Ann. Inst. Statist. Math.,13, 243–250.

    Article  Google Scholar 

  2. Bankövi, G. (1962). On gaps generated by a random space filling procedure,Publ. Math. Inst. Hung. Acad. Sci.,7, 395–407.

    MathSciNet  MATH  Google Scholar 

  3. Barton, D. E. and David, F. N. (1956). Some notes on ordered random intervals,J. R. Statist. Soc., B,18, 79–94.

    MathSciNet  MATH  Google Scholar 

  4. Dvoretzky, A. and Robbins, H. (1964). On the ‘packing problem’,Publ. Math. Inst. Hung. Acad. Sci.,9, 209–225.

    MATH  Google Scholar 

  5. Hasegawa, M. and Tanemura, M. (1976). On the pattern of space division by territories,Japanese Journal of Applied Statist.,5, 47–61 (in Japanese).

    Article  Google Scholar 

  6. Hayashi, C. (1977). Mathematics on election,Surikagaku, No. 167, 5–9 (in Japanese).

    Google Scholar 

  7. Hayashi, C. and Takakura, S. (1964). Statistical methodology for prediction of election polls,Proc. Inst. Statist. Math.,12, 9–86. (in Japanese with English summary).

    Google Scholar 

  8. Itoh, Y. and Ueda, S. (1978). Note on random packing models models for an analysis of elections,Proc. Inst. Statist. Math.,25, 23–27 (in Japanese with English summary).

    MATH  Google Scholar 

  9. Kakeya, S. (1941). On a final election vote,Tokyo Butsuri Gakko Zasshi, No. 595, 1–5 (in Japanese).

    Google Scholar 

  10. MacArthur, R. H. (1957). On the relative abundance of bird species,Proc. Nat. Acad. Sci. USA,43, 293–295.

    Article  Google Scholar 

  11. Nisihira, S. (1972).Elections in Japan, Shiseido (in Japanese).

  12. Rényi, A. (1958). On a one-dimensional problem concerning random space-filling,Publ. Math. Inst. Hung. Acad. Sci.,3, 109–127.

    MathSciNet  MATH  Google Scholar 

  13. Shinozaki, K. and Urata, N. (1953). Apparent Abundance of Different Species and Heterogeneity,Researches on Population Ecology, II, Entomological Laboratory, Kyoto University, 8–22 (in Japanese with English summary).

    Article  Google Scholar 

Download references

Authors

Additional information

The Institute of Statistical Mathematics

About this article

Cite this article

Itoh, Y., Ueda, S. A random packing model for elections. Ann Inst Stat Math 31, 157–167 (1979). https://doi.org/10.1007/BF02480273

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02480273

Keywords

Navigation