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2006 | nr 15 Metody formalne w teorii gier, teorii wzrostu i ekonomii finansowej | 89-107
Tytuł artykułu

An Application of Cooperativ Game Theory to the Appriasal of the Component Analysis

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Warianty tytułu
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EN
Abstrakty
EN
We present recently created method of components analysis, i.e. Simple Component Analysis on the background of the well - known construction ofprincipal component and propose an application of some cooperative game model to assessment of informative individuality of each component. We test practical usefulness of our suggestion using set of 18 socio - economic indicators characterizing situation on the labor market in 66 Polish towns with the powiat status in 2002. (original abstract)
Słowa kluczowe
Twórcy
  • Urząd Statystyczny w Poznaniu
Bibliografia
  • Banzhaf J. F., Ill (1965), Weighted Voting Does Not Work: a Mathematical Analysis,.Rutgers Law Review, vol. 19., pp. 317 -343.
  • CSO (2003 a), Statistical Yearbook of the Labor, Central Statistical Office of Poland, Warsaw.
  • CSO (2003 b), Powiats in Poland, Central Statistical Office of Poland, Warsaw.
  • Gervini D. and Rousson V. (2004), Criteria for Evaluating Dimension - Reduction Components for Multivariate Data, The American Statistician, vol. 58, No. 1, pp. 72 - 76.
  • Hellwig Z. (1968), Procedure to Evaluating High Level Manpower Data and Typology of Countries by Means of the Taxonomic Method, Statistical Review, vol. XV, No. 4, pp. 307 - 327 (in Polish).
  • Hotelling H. (1933), Analysis of a Complex of Statistical Variables into Principal Components, Journal of Educational Psychology, vol. 24, pp. 417 - 441 and 498-520.
  • Jolliffe I. T. (1995), Rotation of Principal Components: Choice of Normalization Constraints, Journal of Applied Statistics, vol. 22, pp. 29-35.
  • Kaiser H. F. (1958), The Varimax Criterion for Analytic Rotation in Factor Analysis, Psychometrika, vol. 23, pp. 187 - 200.
  • Młodak A. (2002 a), Cooperative Games in a Taxonomic Analysis for Instance of Labor Market, Statistical News, vol. XLVII, No. 3, pp. 6 - 17 (in Polish).
  • Młodak A. (2002 b), An Approach to the Problem of Spatial Differentiation of Multi - Feature Objects Using Methods of Game Theory, Statistics in Transition, vol. 5. No. 5., pp. 857 - 872.
  • Młodak A. (2003), On application of the Taxonomy of Structures and Solutions of Cooperative Games to the Analysis ofResults of Election, Operations Research and Decisions, No. 2, pp. 47 - 60 (in Polish).
  • Młodak A. (2004), An application of the Shapley Value Coefficients in a Numerical Taxonomy, Statistical Review, vol. LI, No. 4, pp. 101 - 114.
  • Młodak A. (2006), Simple Component Analysis in the socio - economic statistics, Statistical News, vol. LI, No. 1, pp. 1 - 13 (in Polish).
  • Rousson V. and Gasser T. (2003), Some Case Studies of Simple Component Analysis, Institute for Social and Preventive Medicine, Department of Biostatistics, University of Zürich, Switzerland, typescript (available in the electronic form at the following web page: http ://www.unizh. ch/biostat/Manuscripts/).
  • Rousson V. and Gasser T. (2004), Simple Component Analysis, Applied Statistics, vol. 53, pp. 539 - 555.
  • Ruiz L. M., Valenciano F, Zarzuelo J. M. (1996), The Least Square Prenucleolus and The Least Square Nucleolus. Two Values for TU Games Based on The Excess Vector, International Journal of Game Theory, vol. 25, pp. 113 - 134.
  • Shapley L. S. (1953), A Value for n-Person Game, Annals of Mathematical Studies, vol. 28, pp. 307 - 317.
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Bibliografia
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bwmeta1.element.ekon-element-000171220893
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