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Generating Function And Polarization

In: Distribution Models Theory

Author

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  • R. M. GARCÍA-FERNÁNDEZ

    (Department of Quantitative Methods in Economics, University of Granada, Campus de Cartuja s/n., Granada, 18071, Spain)

Abstract

In this paper we apply the generating function to obtain the density of the overall sample. This density is called mix density and is proportional to the geometric mean of the subgroups densities. This approach can be use to measure the polarization when it is understood as an economic distance between distributions. An empirical illustration is provided using the data from the Spanish Household Expenditure Survey corresponding to the regions of Andalucía and Cataluña, elaborated by the Instituto Nacional de Estadística (INE) for the year 1999.

Suggested Citation

  • R. M. García-Fernández, 2006. "Generating Function And Polarization," World Scientific Book Chapters, in: Rafael Herrerías Pleguezuelo & José Callejón Céspedes & José Manuel Herrerías Velasco (ed.), Distribution Models Theory, chapter 7, pages 111-123, World Scientific Publishing Co. Pte. Ltd..
  • Handle: RePEc:wsi:wschap:9789812772992_0007
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    Keywords

    Inference; Uncertainty; Copulas; Stochastic Dominance; Bayesian Techniques; Hierarchical Bayesian Model; Poisson-Gamma-Gamma Model; Experience Rating; Specific Fecundity Rates; Fecundity Curves; Topp and Leone Distributions; Waring Distribution; Factorial; Cluster; Discrimination Analyses; Survival Functions;
    All these keywords.

    JEL classification:

    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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