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Concentration of multivariate statistical tables

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Abstract

In this paper we lay the foundation of the concentration measurement for statistical tables with more than two columns. A concentration function and a coefficient of concentration are defined which can be used in a similar way as the Lorenz diagram and the Gini coefficient in case of tables with two columns. For computational purposes we derive an explicit formula and give an algorithm. The mathematics behind our approach is formally equivalent to the statistical theory of the comparison of experiments.

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References

  1. Blackwell, D. (1951)Comparison of Experiments. Proc 2nd Berkeley Symp. Math. Statistics Prob., 93–102.

  2. Blackwell, D. (1953)Equivalent Comparisons of Experiments. Ann. Math. Statistics 24, 265–272.

    Article  MathSciNet  Google Scholar 

  3. Dalton, H. (1920)the measurement of the inequality of incomes. Econom. J. 30, 348–361.

    Google Scholar 

  4. Ferschl, F. (1980)Deskriptive Statistik. Physika-Verlag, Wien

    Google Scholar 

  5. Hardy, G.H., J.E. Littlewood and G. Polya (1934).Inequalities. Cambridge Univ. Press, London.

    Google Scholar 

  6. Hewitt E. and K. Stromberg (1965).Real and Abstract Analysis. Springer, Berlin.

    MATH  Google Scholar 

  7. Heyer, H. (1982)Theory of Statistical Experiments. Springer, Berlin.

    MATH  Google Scholar 

  8. Lorenz, M.O. (1905)Methods of measuring concentration of wealth. J. Amer. Statist. Assoz. 9, 209–219.

    Google Scholar 

  9. Marshall, A.W. and I. Olkin (1979)Inequalities: Theory of Majorization and Its Applications. Academic Press, New York.

    MATH  Google Scholar 

  10. Pflug, G. (1979)Statistische Konzentrationsmaße—ein mathematischer Überblick. Allgem. Statist. Archiv 63, 240–260.

    Google Scholar 

  11. Strasser, H. (1985)Mathematical theory of Statistics. Walter de Gruyter, Berlin.

    MATH  Google Scholar 

  12. Torgersen, E.N. (1970)Comparison of Experiments when the Parameter Space is Finite. Z. Wahrscheinlichkeitstheorie verw. Geb. 16, 219–249.

    Article  MATH  MathSciNet  Google Scholar 

  13. Torgersen, E.N. (1991)Comparison of Statistical Experiments. Cambridge Unlv. Press, Cambridge.

    MATH  Google Scholar 

  14. Witting H. (1985)Mathematische Statistik I. Teubner, Stuttgart.

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Statistics, University of Economics and Business Administration, Augasse 2-6, A-1090, Vienna, Austria

    H. Strasser

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  1. H. Strasser
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Strasser, H. Concentration of multivariate statistical tables. Statistical Papers 33, 95–117 (1992). https://doi.org/10.1007/BF02925317

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  • DOI: https://doi.org/10.1007/BF02925317

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