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A concave log-like transformation allowing non-positive values

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  • Ravallion, Martin

Abstract

A hybrid of the hyperbolic sine and its inverse is proposed for applications that require a concave log-like transformation of non-positive data, such as in measuring income and wealth inequality.

Suggested Citation

  • Ravallion, Martin, 2017. "A concave log-like transformation allowing non-positive values," Economics Letters, Elsevier, vol. 161(C), pages 130-132.
    • Handle: RePEc:eee:ecolet:v:161:y:2017:i:c:p:130-132
    DOI: 10.1016/j.econlet.2017.09.019
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    References listed on IDEAS

    as
    1. J. A. John & N. R. Draper, 1980. "An Alternative Family of Transformations," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(2), pages 190-197, June.
    2. Bourguignon, Francois, 1979. "Decomposable Income Inequality Measures," Econometrica, Econometric Society, vol. 47(4), pages 901-920, July.
    3. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Negative income; Net wealth; Concavity; Hyperbolic sine;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • I32 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - Measurement and Analysis of Poverty

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