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  1. A dominance criterion for measuring income inequality from a centrist view
    the case of Australia
    Author: Azpitarte, Francisco; Alonso Villar, Olga
    Published: 2012
    Publisher:  Melbourne Institute of Applied Economic and Social Research, University of Melbourne, [Melbourne]

    Location:
    ZBW - Leibniz-Informationszentrum Wirtschaft, Standort Kiel
    Signature:
    W 315 (2012,3)
    Inter-library loan:
    Unlimited inter-library loan, copies and loan
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    Content information
    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Print
    ISBN: 0734042639; 9780734042637
    Series: Melbourne Institute working paper ; 12,3
    Subjects: Einkommensverteilung; Lorenz-Kurve; Australien; Income distribution; Lorenz curve
    Scope: 19 p, ill, 21 cm
    Notes:

    Title from cover

    Includes bibliographical references (p. 17-19)

    Also available online. Address as at 17/3/12 :http://www.melbourneinstitute.com/downloads/working_paper_series/wp2012n03.pdf
  2. The barycenter of the distribution and its application to the measurement of inequality
    the balance of inequality, the Gini index, and the Lorenz curve
    Author: Di Maio, Giorgio
    Published: March 2022
    Publisher:  Luxembourg Income Study (LIS), asbl, Luxembourg

    This paper introduces in statistics the notion of the barycenter of the distribution of a non-negative random variable Y with a positive finite mean μY and the quantile function Q(x). The barycenter is denoted by μX and defined as the expected value... more

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    Verlag (kostenfrei)
    Resolving-System (kostenfrei)

    Location:
    ZBW - Leibniz-Informationszentrum Wirtschaft, Standort Kiel
    Signature:
    DS 153
    Inter-library loan:
    No inter-library loan

     

    This paper introduces in statistics the notion of the barycenter of the distribution of a non-negative random variable Y with a positive finite mean μY and the quantile function Q(x). The barycenter is denoted by μX and defined as the expected value of the random variable X having the probability density function fX(x) = Q(x)/μY. For continuous populations, the Gini index is 2μX − 1, i.e., the normalization of the barycenter, which is in the range [0, 1/2], the concentration area is μX − 1/2, and the Gini’s mean difference is 4μY (μX − 1/2). The same barycenter-based formulae hold for normalized discrete populations. The introduction of the barycenter allows for new economic, geometrical, physical, and statistical interpretations of these measures. For income distributions, the barycenter represents the expected recipient of one unit of income, as if the stochastic process that leads to the distribution of the total income among the population was observable as it unfolds. The barycenter splits the population into two groups, which can be considered as “the winners” and “the losers” in the income distribution, or “the rich” and “the poor”. We provide examples of application to thirty theoretical distributions and an empirical application with the estimation of personal income inequality in Luxembourg Income Study Database’s countries. We conclude that the barycenter is a new measure of the location or central tendency of distributions, which may have wide applications in both economics and statistics.

     
    Export to reference management software   RIS file
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    Source: Union catalogues
    Language: English
    Media type: Book
    Format: Online
    Other identifier:
    hdl: 10419/267030
    Series: LIS working paper series ; no. 830
    Subjects: Balance of Inequality; Balance of Inequality index; Barycenter; BOI index; Concentration; Concentration area; Concentration ratio; Gini index; Gini mean difference; Inequality; Income inequality; Lorenz curve; Pen parade; Quantile function
    Scope: 1 Online-Ressource (circa 90 Seiten), Illustrationen