Abstract
In recent years there has been a surge of interest in the subject of inequality, fuelled by new facts and new thinking. The literature on inequality has expanded rapidly as official data on income, wealth, and other personal information have become richer and more easily accessible. Ideas about the meaning of inequality have expanded to encompass new concepts and different dimensions of economic inequality. The purpose of this chapter is to give a concise overview of the issues that are involved in translating ideas about inequality into practice using various types of data.
References
Abul Naga RH, Stapenhurst C, Yalonetzky G (2020) Asymptotic versus bootstrap inference for inequality indices of the cumulative distribution function. Econometrics 8:1–15
Alfons A, Templ M, Filzmoser P (2013) Robust estimation of economic indicators from survey samples based on Pareto tail modelling. Journal of the Royal Statistical Society: Series C (Applied Statistics) 62:271–286
Alvaredo F (2011) A note on the relationship between top income shares and the Gini coefficient. Econ Lett 110:274–277
Alvaredo F, Atkinson AB, Chancel L, Piketty T, Saez E, Zucman, G (2016) Distributional national accounts (DINA) guidelines: Concepts and methods used in WID.world. WID.world working paper series 2016/2
Anand S, Segal P (2015) The global distribution of income. In: Atkinson AB, Bourguignon F (eds) Handbook of income distribution, vol 2. Elsevier, New York
Atkinson AB (1970) On the measurement of inequality. J Econ Theory 2:244–263
Atkinson AB (2005) Top incomes in the UK over the twentieth century. J R Stat Soc Ser A 168:325–343
Atkinson AB (2007) Chapter 2: measuring top incomes: methodological issues. In: Atkinson AB, Piketty T (eds) Top incomes over the 20th century: a contrast between continental European and English-speaking countries. Oxford University Press, Oxford, pp 18–42
Atkinson AB (2017) Pareto and the upper tail of the income distribution in the UK: 1799 to the present. Economica 84:129–156
Atkinson AB, Piketty T (eds) (2007) Top incomes over the 20th century: a contrast between continental European and English-speaking countries. Oxford University Press, Oxford
Atkinson AB, Piketty T (2010) Top incomes: a global perspective. Oxford University Press, Oxford
Atkinson AB, Piketty T, Saez E (2011) Top incomes in the long run of history. J Econ Lit 49(1):3–71
Bandourian R, McDonald JB, Turley RS (2003) A comparison of parametric models of income distribution across countries and over time. Estadística 55:135–152
Bartels C, Metzing M (2019) An integrated approach for a top-corrected income distribution. J Econ Inequal 17:125–143
Bartels C, Waldenström D (2021) Inequality and top incomes. In: Handbook of labor, human resources and population economics. Springer
Beirlant J, Goegebeur Y, Segers J, Teugels J (2004) Statistics of extremes: theory and applications. Wiley Series in Probability and Statistics
Benhabib J, Bisin A (2018) Skewed wealth distributions: theory and empirics. J Econ Lit 56:1261–1291
Biewen M (2002) Bootstrap inference for inequality, mobility and poverty measurement. J Econ 108:317–342
Blackorby C, Donaldson D, Auersperg M (1981) A new procedure for the measurement of inequality within and among population subgroups. Can J Econ 14:665–685
Blanchet T, Flores I, Morgan M (2018) The weight of the rich: Correcting surveys with tax data. WID.world working paper series 2018/12
Blanchet T, Fournier J, Piketty T (2017) Generalized Pareto curves: Theory and applications. WID.world working paper series 2017/3
Bollinger CR, Hirsch BT, Hokayem CM, Ziliak JP (2019) Trouble in the tails? What we know about earnings nonresponse 30 years after Lillard, smith, and Welch. J Polit Econ 127:2143–2185
Bourguignon F (2018) Simple adjustments of observed distributions for missing income and missing people. J Econ Inequal 16:171–188
Burkhauser RV, Feng S, Jenkins SP, Larrimore J (2011) Estimating trends in US income inequality using the current population survey: the importance of controlling for censoring. Journal of Economic Inequality Paper 9:393–415
Burkhauser RV, Feng S, Jenkins SP, Larrimore J (2012) Recent trends in top income shares in the United States: reconciling estimates from march CPS and IRS tax return data. Rev Econ Stat 94(2):371–388
Chakravarty SR (1990) Ethical social index numbers. Springer-Verlag, Berlin
Chancel L, Piketty T (2019) Indian income inequality, 1922–2015: from British raj to billionaire raj? Rev Income Wealth 65:S33–S62
Chantreuil F, Courtin S, Fourrey K, Lebon I (2019) A note on the decomposability of inequality measures. Soc Choice Welf 53:283–298
Chantreuil F, Trannoy A (1999) Inequality decomposition values: the trade-off between marginality and consistency. Working papers 99–24, Université de Cergy-Pontoise
Charpentier A, Flachaire E (2022) Pareto models for top incomes and wealth. Journal of Economic Inequality (forthcoming)
Coder J (1991) Exploring nonsampling errors in the wage and salary income data from the march current population survey. Housing and Household Economic Statistics Division, U.S. Bureau of the Census
Cowell FA (1980) Generalized entropy and the measurement of distributional change. Eur Econ Rev 13:147–159
Cowell FA (2011) Measuring inequality, 3rd edn. Oxford University Press, Oxford
Cowell FA, Ebert U (2004) Complaints and inequality. Soc Choice Welf 23:71–89
Cowell FA, Fiorio C (2011) Inequality decompositions – a reconciliation. J Econ Inequal 9:509–528
Cowell FA, Flachaire E (2007) Income distribution and inequality measurement: the problem of extreme values. J Econ 141:1044–1072
Cowell FA, Flachaire E (2015) Statistical methods for distributional analysis. In: Atkinson AB, Bourguignon F (eds) Handbook of income distribution, vol 2. Elsevier, New York
Cowell FA, Flachaire E (2017) Inequality with ordinal data. Economica 84:290–321
Cowell FA, Flachaire E (2018) Inequality measures and the median: why inequality increased more than we thought. PEP discussion paper, STICERD, LSE
Cowell FA, Flachaire E (2021) Maximum inequality: the case of categorical data. Res Econ Inequal 29:95–103
Cowell FA, Flachaire E, Bandyopadhyay S (2013) Reference distributions and inequality measurement. J Econ Inequal 11:421–437
Cowell FA, Van Kerm P (2015) Wealth inequality: a survey. J Econ Surv 29:671–710
Cowell FA, Victoria-Feser M-P (1996) Robustness properties of inequality measures. Econometrica 64:77–101
Cowell FA, Victoria-Feser M-P (2003) Distribution-free inference for welfare indices under complete and incomplete information. J Econ Inequal 1:191–219
Cowell FA, Victoria-Feser M-P (2007) Robust stochastic dominance: a semi-parametric approach. J Econ Inequal 5:21–37
Dalton H (1920) Measurement of the inequality of incomes. Econ J 30:348–361
Davidson R, Flachaire E (2007) Asymptotic and bootstrap inference for inequality and poverty measures. J Econ 141:141–166
de Barros RP, Ferreira F, Chanduvi J, Vega J (2008) Measuring inequality of opportunities in Latin America and the Caribbean. Palgrave Macmillan
Deaton AS (1997) The analysis of household surveys. Johns Hopkins Press for the World Bank, Baltimore
Deutsch J, Silber J (2008) On the Shapley value and the decomposition of inquality by population subgroups with special emphasis on the Gini index. In: Betti G, Lemmi A (eds) Advances on income inequality and concentration measures. Routledge
Dufour J-M, Flachaire E, Khalaf L (2019) Permutation tests for comparing inequality measures. J Bus Econ Stat 37(3):457–470
Embrechts P, Klüppelberg C, Mikosch T (1997) Modelling extremal events. Applications of mathematics: stochastic modelling and applied probability. Springer-Verlag, Berlin, Heidelberg
Fedotenkov I (2018) A review of more than one hundred pareto-tail index estimators. MPRA paper 90072
Ferreira FHG, Lustig N, Teles D (2015) Appraising cross-national income inequality databases: an introduction. J Econ Inequal 13:497–526
Foster JE, Shneyerov AA (1999) A general class of additively decomposable inequality measures. Economic Theory 14:89–111
Foster JE, Shneyerov AA (2000) Path independent inequality measures. J Econ Theory 91:199–222
Gabaix X (2009) Power laws in economics and finance. Annual Review of Economics 1:255–293
Garbinti B, Goupille-Lebret J, Piketty T (2018) Income inequality in France, 1900–2014: evidence from distributional National Accounts (DINA). J Public Econ 162:63–77
Gastwirth JL (2014) Median-based measures of inequality: reassessing the increase in income inequality in the U.S. and Sweden. Stat J IAOS 30:311–320
Gini C (1912) Variabilità e mutabilità. Studi Economico-Giuridici dell’Università di Cagliari 3:1–158
Gradín C (2020) Quantifying the contribution of a subpopulation to inequality: an application to Mozambique. J Econ Inequal 18:391–419
Groves RE, Couper MP (1998) Nonresponse in household interview surveys. Wiley, New-York
Higgins S, Lustig N, Vigorito A (2018) The rich underreport their income: assessing bias in inequality estimates and correction methods using linked survey and tax data. Ecineq WP:475
Hlasny V (2020) Nonresponse bias in inequality measurement: Crosscountry analysis using Luxembourg income study surveys. Social Science Quaterly 101:712–731
Hlasny V, Verme P (2016) Top incomes and the measurement of inequality in Egypt. World Bank Econ Rev 32(2):428–455
Hlasny V, Verme P (2018) Top incomes and inequality measurement: a comparative analysis of correction methods using the EU SILC data. Econometrics 6:30
Jenkins SP (2017) Pareto models, top incomes and recent trends in UK income inequality. Economica 84:261–289
Jenkins SP (2021) Inequality comparisons with ordinal data. Rev Income Wealth 67(3):547–563
Jones CI (2015) Pareto and Piketty: the macroeconomics of top income and wealth inequality. J Econ Perspect 29:29–46
Kolm S-C (1969) The optimal production of social justice. In: Margolis J, Guitton H (eds) Public economics. Macmillan, London, pp 145–200
König J, Schröder C, Wolff EN (2021) Wealth inequalities. In: Handbook of labor, human resources and population economics. Springer
Korinek A, Mistiaen JA, Ravallion M (2006) Survey nonresponse and the distribution of income. J Econ Inequal 4:33–55
Korinek A, Mistiaen JA, Ravallion M (2007) An econometric method of correcting for unit nonresponse bias in surveys. J Econ 136:213–235
La Haye R, Zizler P (2019) The Gini mean difference and variance. Metro 77:43–52
Lakner C, Milanovic B (2016) Global income distribution: From the fall of the Berlin wall to the great recession. World Bank Econ Rev 30(2):203–232
Lorenz MO (1905) Methods for measuring concentration of wealth. J Am Stat Assoc 9:209–219
Lustig N (2019) The missing rich in household surveys: causes and correction approaches. CEQ working paper 75
Morelli S, Smeeding T, Thompson J (2015) Post-1970 trends in within-country inequality and poverty: rich and middle-income countries. In: Atkinson AB, Bourguignon F (eds) Handbook of income distribution, vol 2. Elsevier, New York
Novokmet F, Piketty T, Zucman G (2018) From soviets to oligarchs: inequality and property in Russia 1905–2016. J Econ Inequal 16:189–223
Okamoto M (2011) Source decomposition of changes in income inequality: the integral-based approach and its approximation by the chained Shapley-value approach. J Econ Inequal 9(2):145–181
Paul S (2004) Income sources effects on inequality. J Dev Econ 73:435–451
Pigou AC (1912) Wealth and welfare. Macmillan, London
Piketty T (2001) Les hauts revenus en France au 20eme siècle – Inégalités et redistributions,1901–1998. Editions Grasset, Paris
Piketty T (2003) Income inequality in France, 1901–1998. J Polit Econ 111:1004–1042
Piketty T, Saez E (2003) Income inequality in the United States, 1913–1998. Q J Econ 118:1–39
Piketty T, Saez, E (2006) Response by Thomas Piketty and Emmanuel Saez to: the top 1% … of what? By Alan Reynolds. http://www.econ.berkeley.edu/saez/answer-WSJreynolds.pdf
Piketty T, Saez E (2014) Inequality in the long run. Science 344(6186):838–843
Piketty T, Saez E, Zucman G (2018) Distributional national accounts: methods and estimates for the United States. Q J Econ 133:553–609
Piketty T, Yang L, Zucman G (2019) Capital accumulation, private property, and rising inequality in China, 1978–2015. Am Econ Rev 109:2469–2496
Ruiz N, Woloszko N (2016) What do household surveys suggest about the top 1% incomes and inequality in OECD countries? OECD economics department working paper no. 1265
Sastre M, Trannoy A (2002) Shapley inequality decomposition by factor components: some methodological issues. Journal of Economics Supplement 9:51–90
Schluter C (2018) Top incomes, heavy tails, and rank-size regressions. Econometrics 6(10):1–16
Schluter C, Trede M (2002) Statistical inference for inequality and poverty measurement with dependent data. Int Econ Rev 43:493–508
Sen AK (1973) On economic inequality. Clarendon Press, Oxford
Shorrocks AF (1980) The class of additively decomposable inequality measures. Econometrica 48:613–625
Shorrocks AF (1982) Inequality decomposition by factor components. Econometrica 50(1):193–211
Shorrocks AF (1983) The impact of income components on the distribution of family income. Q J Econ 98:311–326
Shorrocks AF (2013) Decomposition procedures for distributional analysis: a unified framework based on the Shapley value. J Econ Inequal 11:99–126
Silber J, Yalonetzky G (2021) Ordinal variables and the measurement of inequality, poverty and welfare. In: Handbook of labor, human resources and population economics. Springer
Theil H (1979) The measurement of inequality by components of income. Econ Lett 2:197–199
Yaari ME (1988) A controversial proposal concerning inequality measurement. J Econ Theory 44(4):381–397
Yitzhaki S (1979) Relative deprivation and the Gini coefficient. Q J Econ 93:321–324
Yitzhaki S (1982) Stochastic dominance, mean variance and Gini’s mean difference. Am Econ Rev 72:178–185
Acknowledgments
Responsible Section Editor: Eva Sierminska.
The chapter has benefitted from comments of the editors. The work was supported financially by ESRC project ES/L016273/1, and by projects ANR- 17-EURE-0020, ANR-17-CE41-0007-02, and ANR-19-FRAL-0006 managed by the French National Research Agency (ANR). There is no conflict of interest. We are grateful to Visheshika Baheti for help in producing the final version of the chapter.
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Cowell, F.A., Flachaire, E. (2021). Inequality Measurement: Methods and Data. In: Zimmermann, K.F. (eds) Handbook of Labor, Human Resources and Population Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-57365-6_148-1
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