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Gini’s Delta to Measure Intensity of Multidimensional Performance

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Theoretical and Applied Statistics (SIS 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 274))

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Abstract

In the present paper we suggest the use of Alkire-Foster [1, 3] dual cut-off method as a measure of multidimensional performance and a modified version of Gini’s delta to measure the concentration of achievements and/or deprivations. On either tails, the information on the joint distribution of achievements or deprivations can be used to measure their concentration. In particular we suggest the use of Gini’s delta to measure concentration within a same tail - for different second order cut-off values k. We call this measure a measure of performance intensity. As an example we apply it to both tails of an OECD regional well-being performance indicator, and to the Multidimensional Poverty Index (MPI).

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Notes

  1. 1.

    Household disposable income per capita; Employment rate; Unemployment rate; Number of rooms per person; Life expectancy at birth; Age adjusted mortality rate; Share of labour force with at least secondary education; Estimated average exposure to air pollution in PM2.5; Homicide rate; Voter turnout; Share of households with broadband access.

  2. 2.

    Years of schooling; School attendance; Child Mortality; Nutrition; Electricity: Drinking Water; Sanitation; Flooring; Cooking Fuel; Assets.

References

  1. Alkire, S., Foster, J.: Counting and multidimensional poverty measurement. J. Public Econ. 95(7–8), 476–487 (2009)

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  2. Alkire, S., Santos, M.E.: Acute multidimensional poverty: a new index for developing countries, OPHI working paper No. 38 (2010)

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  3. Alkire, S., Foster, J.: Understandings and misunderstandings of multidimensional poverty measurement. J. Econ. Inequal. 9(2), 289–314 (2011)

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  4. OECD Regional well being: a users guide. www.oecdregionalwellbeing.org

  5. UNDP: Human Development Report (2014). http://www.hdr.undp.org/sites/default/files/hdr14-report-en-1.pdf

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Correspondence to Silvia Terzi .

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Terzi, S., Moroni, L. (2019). Gini’s Delta to Measure Intensity of Multidimensional Performance. In: Crocetta, C. (eds) Theoretical and Applied Statistics. SIS 2015. Springer Proceedings in Mathematics & Statistics, vol 274. Springer, Cham. https://doi.org/10.1007/978-3-030-05420-5_5

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