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Una precisazione sulla scomposizione dell’indice di redistribuzione RE di Aronson-Johnson-Lambert e una proposta di estensione dell’indice di Plotnick

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  • Achille VERNIZZI

Abstract

Aronson-Johnson-Lambert redistribution index RE can be correctly applied provided that after taxation incomes maintain the same pre-tax order in what it concerns (i) group average incomes and (ii) within group incomes. If this is not the case, R should be replaced by the transvariation index defined e. g. by Dagum (1997). Of course when R is different from the tranvariation index, in considering RE one neglects income rerankings between groups averages and within groups incomes. This note suggests how information on rerankings may be recovered, through a proper decomposition of Plotnick index. The decomposed Plotnick index might be a useful tool in choosing optimal interval bandwidth, controlling either for group-average reranking and within group reranking. Moreover minor suggestions are added which might be applied in analyzing taxation effects for incomes grouped according to socio-demographic or other criterions.

Suggested Citation

  • Achille VERNIZZI, 2006. "Una precisazione sulla scomposizione dell’indice di redistribuzione RE di Aronson-Johnson-Lambert e una proposta di estensione dell’indice di Plotnick," Departmental Working Papers 2006-28, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    • Handle: RePEc:mil:wpdepa:2006-28
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    Cited by:

    1. Achille VERNIZZI, 2009. "Playing with the Hadamard product in decomposing Gini, concentration, redistribution and re-ranking indexes," Departmental Working Papers 2009-50, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    2. Achille VERNIZZI & Simone PELLEGRINO, 2007. "On the Aronson-Johnson-Lambert decomposition of the redistributive effect," Departmental Working Papers 2007-13, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano, revised 26 Jun 2007.

    More about this item

    Keywords

    Horizontal and Vertical Equity; Gini index and concentration index decompositions; redistribution index; reranking indexes;
    All these keywords.

    JEL classification:

    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H22 - Public Economics - - Taxation, Subsidies, and Revenue - - - Incidence
    • H24 - Public Economics - - Taxation, Subsidies, and Revenue - - - Personal Income and Other Nonbusiness Taxes and Subsidies
    • H31 - Public Economics - - Fiscal Policies and Behavior of Economic Agents - - - Household
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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