Single Imputation Methods and Confidence Intervals for the Gini Index
Author
Abstract
Suggested Citation
Download full text from publisher
References listed on IDEAS
- David Haziza & Jean‐François Beaumont, 2007. "On the Construction of Imputation Classes in Surveys," International Statistical Review, International Statistical Institute, vol. 75(1), pages 25-43, April.
- Francisco H. G. Ferreira & Jérémie Gignoux, 2014.
"The Measurement of Educational Inequality: Achievement and Opportunity,"
The World Bank Economic Review, World Bank, vol. 28(2), pages 210-246.
- Ferreira, Francisco H. G. & Gignoux, Jérémie, 2011. "The Measurement of Educational Inequality: Achievement and Opportunity," IZA Discussion Papers 6161, Institute of Labor Economics (IZA).
- Francisco H. G. Ferreira & Jérémie Gignoux, 2011. "The Measurement of Educational Inequality: Achievement and Opportunity," Working Papers halshs-00646594, HAL.
- Ferreira, Francisco H. G. & Gignoux, Jeremie, 2011. "The measurement of educational inequality : achievement and opportunity," Policy Research Working Paper Series 5873, The World Bank.
- Francisco H. G. Ferreira & Jérémie Gignoux, 2014. "The Measurement of Educational Inequality: Achievement and Opportunity," PSE-Ecole d'économie de Paris (Postprint) halshs-01030825, HAL.
- Francisco H. G. Ferreira & Jérémie Gignoux, 2011. "The Measurement of Educational Inequality: Achievement and Opportunity," PSE Working Papers halshs-00646594, HAL.
- Francisco H. G. Ferreira & Jérémie Gignoux, 2014. "The Measurement of Educational Inequality: Achievement and Opportunity," Post-Print halshs-01030825, HAL.
- Francisco H. G. Ferreira & Jérémie Gignoux, 2011. "The measurement of educational inequality: Achievement and opportunity," Working Papers 240, ECINEQ, Society for the Study of Economic Inequality.
- Hai Zhong, 2010. "The impact of missing data in the estimation of concentration index: a potential source of bias," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 11(3), pages 255-266, June.
- Boyce, James K. & Zwickl, Klara & Ash, Michael, 2016. "Measuring environmental inequality," Ecological Economics, Elsevier, vol. 124(C), pages 114-123.
- Stephen Jenkins, 2015.
"World income inequality databases: an assessment of WIID and SWIID,"
The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(4), pages 629-671, December.
- Jenkins, Stephen P., 2014. "World Income Inequality Databases: An Assessment of WIID and SWIID," IZA Discussion Papers 8501, Institute of Labor Economics (IZA).
- P. Jenkins, Stephen, 2014. "World Income Inequality Databases: an assessment of WIID and SWIID," ISER Working Paper Series 2014-31, Institute for Social and Economic Research.
- Jenkins, Stephen P., 2015. "World income inequality databases: an assessment of WIID and SWIID," LSE Research Online Documents on Economics 62173, London School of Economics and Political Science, LSE Library.
- Detollenaere, Jens & Desmarest, Ann-Sophie & Boeckxstaens, Pauline & Willems, Sara, 2018. "The link between income inequality and health in Europe, adding strength dimensions of primary care to the equation," Social Science & Medicine, Elsevier, vol. 201(C), pages 103-110.
- Giovanni Maria Giorgi & Chiara Gigliarano, 2017. "The Gini Concentration Index: A Review Of The Inference Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 31(4), pages 1130-1148, September.
- Frederick Solt, 2020. "Measuring Income Inequality Across Countries and Over Time: The Standardized World Income Inequality Database," Social Science Quarterly, Southwestern Social Science Association, vol. 101(3), pages 1183-1199, May.
- Berger Yves G. & Balay İklim Gedik, 2020. "Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling," Journal of Official Statistics, Sciendo, vol. 36(2), pages 237-249, June.
- Davidson, Russell, 2009.
"Reliable inference for the Gini index,"
Journal of Econometrics, Elsevier, vol. 150(1), pages 30-40, May.
- Russell Davidson, 2007. "Reliable Inference For The Gini Index," Working Papers halshs-00353856, HAL.
- Russell Davidson, 2009. "Reliable inference for the GINI Index," Working Papers halshs-00443553, HAL.
- N. A. Campbell, 1980. "Robust Procedures in Multivariate Analysis I: Robust Covariance Estimation," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(3), pages 231-237, November.
- repec:hal:pseose:halshs-01030825 is not listed on IDEAS
- Ardington, Cally & Lam, David & Leibbrandt, Murray & Welch, Matthew, 2006. "The sensitivity to key data imputations of recent estimates of income poverty and inequality in South Africa," Economic Modelling, Elsevier, vol. 23(5), pages 822-835, September.
- Tomson Ogwang, 2000. "A Convenient Method of Computing the Gini Index and its Standard Error," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(1), pages 123-129, February.
- Elias Karagiannis & Milorad Kovacevic', 2000. "A Method to Calculate the Jackknife Variance Estimator For the Gini Coefficient," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(1), pages 119-122, February.
- Yongwei Chen & Dahai Fu, 2015. "Measuring income inequality using survey data: the case of China," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 13(2), pages 299-307, June.
- María Mar Rueda & Juan Muñoz, 2011. "Estimation of poverty measures with auxiliary information in sample surveys," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(3), pages 687-700, April.
- M. D. R. Evans & Jonathan Kelley & S. M. C. Kelley & C. G. E. Kelley, 2019. "Rising Income Inequality During the Great Recession Had No Impact on Subjective Wellbeing in Europe, 2003–2012," Journal of Happiness Studies, Springer, vol. 20(1), pages 203-228, January.
- repec:bla:obuest:v:62:y:2000:i:1:p:119-22 is not listed on IDEAS
- Yitzhaki, Shlomo, 1991. "Calculating Jackknife Variance Estimators for Parameters of the Gini Method," Journal of Business & Economic Statistics, American Statistical Association, vol. 9(2), pages 235-239, April.
- Qin, Yongsong & Rao, J.N.K. & Wu, Changbao, 2010. "Empirical likelihood confidence intervals for the Gini measure of income inequality," Economic Modelling, Elsevier, vol. 27(6), pages 1429-1435, November.
- Wang, Dongliang & Zhao, Yichuan & Gilmore, Dirk W., 2016. "Jackknife empirical likelihood confidence interval for the Gini index," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 289-295.
- Krzysztof Zagorski & Mariah Evans & Jonathan Kelley & Katarzyna Piotrowska, 2014. "Does National Income Inequality Affect Individuals’ Quality of Life in Europe? Inequality, Happiness, Finances, and Health," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 117(3), pages 1089-1110, July.
- Parsa, Motahareh & Di Crescenzo, Antonio & Jabbari, Hadi, 2018. "Analysis of reliability systems via Gini-type index," European Journal of Operational Research, Elsevier, vol. 264(1), pages 340-353.
- Michael Healy & Michael Westmacott, 1956. "Missing Values in Experiments Analysed on Automatic Computers," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 5(3), pages 203-206, November.
- Krzysztof Zagorski & Mariah Evans & Jonathan Kelley & Katarzyna Piotrowska, 2014. "Erratum to: Does National Income Inequality Affect Individuals’ Quality of Life in Europe? Inequality, Happiness, Finances, and Health," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 118(2), pages 939-939, September.
- Giovanni Maria Giorgi & Paola Palmitesta & Corrado Provasi, 2006. "Asymptotic and bootstrap inference for the generalized Gini indices," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1), pages 107-124.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Allison, R. Andrew & Foster, James E., 2004. "Measuring health inequality using qualitative data," Journal of Health Economics, Elsevier, vol. 23(3), pages 505-524, May.
- Lerman, Robert I. & Yitzhaki, Shlomo, 1984. "A note on the calculation and interpretation of the Gini index," Economics Letters, Elsevier, vol. 15(3-4), pages 363-368.
- Rebecca R. Andridge & Roderick J. A. Little, 2010. "A Review of Hot Deck Imputation for Survey Non‐response," International Statistical Review, International Statistical Institute, vol. 78(1), pages 40-64, April.
- Matti Langel & Yves Tillé, 2013. "Variance estimation of the Gini index: revisiting a result several times published," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 176(2), pages 521-540, February.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Berger Yves G. & Balay İklim Gedik, 2020. "Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling," Journal of Official Statistics, Sciendo, vol. 36(2), pages 237-249, June.
- Xiaofeng Lv & Gupeng Zhang & Guangyu Ren, 2017. "Gini index estimation for lifetime data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 23(2), pages 275-304, April.
- Mazzi Gian Luigi & Mitchell James & Carausu Florabela, 2021.
"Measuring and Communicating the Uncertainty in Official Economic Statistics,"
Journal of Official Statistics, Sciendo, vol. 37(2), pages 289-316, June.
- Mazzi Gian Luigi & Mitchell James & Carausu Florabela, 2021. "Measuring and Communicating the Uncertainty in Official Economic Statistics," Journal of Official Statistics, Sciendo, vol. 37(2), pages 289-316, June.
- Judith A. Clarke & Ahmed A. Hoque, 2014. "On Variance Estimation for a Gini Coefficient Estimator Obtained from Complex Survey Data," Econometrics Working Papers 1401, Department of Economics, University of Victoria.
- Wang, Dongliang & Zhao, Yichuan & Gilmore, Dirk W., 2016. "Jackknife empirical likelihood confidence interval for the Gini index," Statistics & Probability Letters, Elsevier, vol. 110(C), pages 289-295.
- Karoly, Lynn & Schröder, Carsten, 2015.
"Fast methods for jackknifing inequality indices,"
Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 37(1), pages 125-138.
- Karoly, Lynn & Schröder, Carsten, 2013. "Fast methods for jackknifing inequality indices," Economics Working Papers 2013-04, Christian-Albrechts-University of Kiel, Department of Economics.
- Lynn A. Karoly & Carsten Schröder, 2014. "Fast Methods for Jackknifing Inequality Indices," SOEPpapers on Multidisciplinary Panel Data Research 643, DIW Berlin, The German Socio-Economic Panel (SOEP).
- Lynn A. Karoly & Carsten Schröder, 2013. "Fast Methods for Jackknifing Inequality Indices," LIS Working papers 601, LIS Cross-National Data Center in Luxembourg.
- Lynn A. Karoly & Carsten Schroder, 2013. "Fast Methods for Jackknifing Inequality Indices," Working Papers WR-1017, RAND Corporation.
- David E. A. Giles, 2004.
"Calculating a Standard Error for the Gini Coefficient: Some Further Results,"
Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(3), pages 425-433, July.
- David E. A. Giles, 2002. "Calculating a Standard Error for the Gini Coefficient: Some Further Results," Econometrics Working Papers 0202, Department of Economics, University of Victoria.
- Xiaofeng Lv & Gupeng Zhang & Xinkuo Xu & Qinghai Li, 2017. "Bootstrap-calibrated empirical likelihood confidence intervals for the difference between two Gini indexes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(2), pages 195-216, June.
- Alessio Guandalini, 2022. "Things you should know about the Gini index," RIEDS - Rivista Italiana di Economia, Demografia e Statistica - The Italian Journal of Economic, Demographic and Statistical Studies, SIEDS Societa' Italiana di Economia Demografia e Statistica, vol. 76(4), pages 4-12, October-D.
- Xiaofeng Lv & Gupeng Zhang & Xinkuo Xu & Qinghai Li, 2017. "Bootstrap-calibrated empirical likelihood confidence intervals for the difference between two Gini indexes," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 15(2), pages 195-216, June.
- Ilaria Benedetti & Federico Crescenzi & Tiziana Laureti, 2020. "Measuring Uncertainty for Poverty Indicators at Regional Level: The Case of Mediterranean Countries," Sustainability, MDPI, vol. 12(19), pages 1-19, October.
- I. Josa & A. Aguado, 2020. "Measuring Unidimensional Inequality: Practical Framework for the Choice of an Appropriate Measure," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 149(2), pages 541-570, June.
- Ziqing Dong & Yves Tillé & Giovanni M. Giorgi & Alessio Guandalini, 2021. "Linearization and variance estimation of the Bonferroni inequality index," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 184(3), pages 1008-1029, July.
- Silvia De Nicol`o & Maria Rosaria Ferrante & Silvia Pacei, 2021. "Mind the Income Gap: Bias Correction of Inequality Estimators in Small-Sized Samples," Papers 2107.08950, arXiv.org, revised May 2023.
- Sudheesh K. Kattumannil & N. Sreelakshmi & N. Balakrishnan, 2022. "Non-Parametric Inference for Gini Covariance and its Variants," Sankhya A: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 84(2), pages 790-807, August.
- Kuan Xu, 2007.
"U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures,"
Econometric Reviews, Taylor & Francis Journals, vol. 26(5), pages 567-577.
- Kuan Xu, 2006. "U-Statistics and Their Asymptotic Results for Some Inequality and Poverty Measures," Working Papers daleconwp2007-06, Dalhousie University, Department of Economics.
- Carsten Schröder & Yolanda Golan & Shlomo Yitzhaki, 2014.
"Inequality and the time structure of earnings: evidence from Germany,"
The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 12(3), pages 393-409, September.
- Schröder, Carsten & Golan, Yolanda & Yitzhaki, Shlomo, 2014. "Inequality and the time structure of earnings: Evidence from Germany," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, vol. 12(3), pages 349-409.
- Zhao, Puying & Haziza, David & Wu, Changbao, 2020. "Survey weighted estimating equation inference with nuisance functionals," Journal of Econometrics, Elsevier, vol. 216(2), pages 516-536.
- Pier Luigi Conti & Alberto Iorio & Alessio Guandalini & Daniela Marella & Paola Vicard & Vincenzina Vitale, 2020. "On the estimation of the Lorenz curve under complex sampling designs," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 29(1), pages 1-24, March.
- Lingsheng Meng & Binzhen Wu & Zhaoguo Zhan, 2016. "Linear regression with an estimated regressor: applications to aggregate indicators of economic development," Empirical Economics, Springer, vol. 50(2), pages 299-316, March.
More about this item
Keywords
missing data; variance estimation; coverage; inequality; non-response mechanism;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3252-:d:703440. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.