IDEAS home Printed from https://ideas.repec.org/a/spr/joecin/v22y2024i4d10.1007_s10888-023-09617-2.html
   My bibliography  Save this article

Recovering income distribution in the presence of interval-censored data

Author

Listed:
  • Fernando Rios-Avila

    (Levy Institute at Bard College)

  • Gustavo Canavire-Bacarreza

    (The World Bank
    Universidad Privada Boliviana)

  • Flavia Sacco-Capurro

    (The World Bank)

Abstract

We propose a method to analyze interval-censored data using a multiple imputation based on a Heteroskedastic Interval regression approach. The proposed model aims to obtain a synthetic dataset that can be used for standard analysis, including standard linear regression, quantile regression, or poverty and inequality estimation. We present two applications to show the performance of our method. First, we run a Monte Carlo simulation to show the method's performance under the assumption of multiplicative heteroskedasticity, with and without conditional normality. Second, we use the proposed methodology to analyze labor income data in Grenada for 2013-2020, where the salary data are interval-censored according to the salary intervals prespecified in the survey questionnaire. The results obtained are consistent across both exercises.

Suggested Citation

  • Fernando Rios-Avila & Gustavo Canavire-Bacarreza & Flavia Sacco-Capurro, 2024. "Recovering income distribution in the presence of interval-censored data," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 22(4), pages 1039-1060, December.
  • Handle: RePEc:spr:joecin:v:22:y:2024:i:4:d:10.1007_s10888-023-09617-2
    DOI: 10.1007/s10888-023-09617-2
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10888-023-09617-2
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s10888-023-09617-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mark B. Stewart, 1983. "On Least Squares Estimation when the Dependent Variable is Grouped," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 737-753.
    2. Patrick Royston, 2007. "Multiple imputation of missing values: further update of ice, with an emphasis on interval censoring," Stata Journal, StataCorp LP, vol. 7(4), pages 445-464, December.
    3. Walter, Paul & Weimer, Katja, 2018. "Estimating poverty and inequality indicators using interval censored income data from the German microcensus," Discussion Papers 2018/10, Free University Berlin, School of Business & Economics.
    4. Machado, José A.F. & Santos Silva, J.M.C., 2019. "Quantiles via moments," Journal of Econometrics, Elsevier, vol. 213(1), pages 145-173.
    5. Xiuqing Zhou & Yanqin Feng & Xiuli Du, 2017. "Quantile regression for interval censored data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(8), pages 3848-3863, April.
    6. Victor Chernozhukov & Iván Fernández-Val & Blaise Melly, 2022. "Fast algorithms for the quantile regression process," Empirical Economics, Springer, vol. 62(1), pages 7-33, January.
    7. Stephen P. Jenkins & Richard V. Burkhauser & Shuaizhang Feng & Jeff Larrimore, 2011. "Measuring inequality using censored data: a multiple‐imputation approach to estimation and inference," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(1), pages 63-81, January.
    8. Yi-Ting Chen, 2018. "A Unified Approach to Estimating and Testing Income Distributions With Grouped Data," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(3), pages 438-455, July.
    9. McDonald, James & Stoddard, Olga & Walton, Daniel, 2018. "On using interval response data in experimental economics," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 72(C), pages 9-16.
    10. Sergio Firpo & Nicole M. Fortin & Thomas Lemieux, 2009. "Unconditional Quantile Regressions," Econometrica, Econometric Society, vol. 77(3), pages 953-973, May.
    11. Corral Rodas,Paul Andres & Kastelic,Kristen Himelein & Mcgee,Kevin Robert & Molina,Isabel, 2021. "A Map of the Poor or a Poor Map ?," Policy Research Working Paper Series 9620, The World Bank.
    12. Aldi Hagenaars & Klaas de Vos, 1988. "The Definition and Measurement of Poverty," Journal of Human Resources, University of Wisconsin Press, vol. 23(2), pages 211-221.
    13. Fernando Rios-Avila, 2020. "Recentered influence functions (RIFs) in Stata: RIF regression and RIF decomposition," Stata Journal, StataCorp LP, vol. 20(1), pages 51-94, March.
    14. Zachary Parolin & Christoper Wimer, 2020. "Forecasting Estimates of Poverty During the COVID-19 Crisis," Poverty and Social Policy Brief 2046, Center on Poverty and Social Policy, Columbia University.
    15. George G. Vega Yon & Brian Quistorff, 2019. "parallel: A command for parallel computing," Stata Journal, StataCorp LP, vol. 19(3), pages 667-684, September.
    16. Angel G. Angelov & Magnus Ekström, 2019. "Maximum likelihood estimation for survey data with informative interval censoring," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 103(2), pages 217-236, June.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Canavire Bacarreza,Gustavo Javier & Rios Avila,Fernando & Sacco Capurro,Flavia Giannina, 2022. "Recovering Income Distribution in the Presence of Interval-Censored Data," Policy Research Working Paper Series 10147, The World Bank.
    2. Borgen, Nicolai T. & Haupt, Andreas & Wiborg, Øyvind N., 2021. "Flexible and fast estimation of quantile treatment effects: The rqr and rqrplot commands," SocArXiv 4vquh, Center for Open Science.
    3. Nora Fingado & Steven Poelhekke, 2023. "Droughts and Malnutrition in Africa," CESifo Working Paper Series 10385, CESifo.
    4. Jorge Eduardo Camusso & Ana Inés Navarro, 2021. "Asymmetries in aggregate income risk over the business cycle: evidence from administrative data of Argentina," Asociación Argentina de Economía Política: Working Papers 4447, Asociación Argentina de Economía Política.
    5. Francis,David C. & Kubinec ,Robert, 2022. "Beyond Political Connections : A Measurement Model Approach to Estimating Firm-levelPolitical Influence in 41 Economies," Policy Research Working Paper Series 10119, The World Bank.
    6. Serigne Bassirou Lo & Lassana Cissokho, 2023. "Financial development, institutions and industrialization in sub‐Saharan Africa," African Development Review, African Development Bank, vol. 35(2), pages 152-164, June.
    7. Vanesa Jorda & José María Sarabia & Markus Jäntti, 2020. "Estimation of Income Inequality from Grouped Data," LIS Working papers 804, LIS Cross-National Data Center in Luxembourg.
    8. Do, Manh Hung & Nguyen, Trung Thanh, 2024. "Impact of crop commercialization on smallholder farmers’ resilience to shocks: Evidence from panel data for rural Southeast Asia," Food Policy, Elsevier, vol. 128(C).
    9. Christopher F. Baum & Hans Lööf & Andreas Stephan & Klaus F. Zimmermann, 2024. "Estimating the Wage Premia of Refugee Immigrants: Lessons from Sweden," ILR Review, Cornell University, ILR School, vol. 77(4), pages 562-597, August.
    10. Phan, Van & Singleton, Carl & Bryson, Alex & Forth, John & Ritchie, Felix & Stokes, Lucy & Whittard, Damian, 2022. "Accounting for Firms in Ethnicity Wage Gaps throughout the Earnings Distribution," IZA Discussion Papers 15284, Institute of Labor Economics (IZA).
    11. Melanie Jones & Ezgi Kaya, 2024. "Performance‐related pay and the UK gender pay gap," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 63(4), pages 512-529, October.
    12. Shobande, Olatunji A. & Tiwari, Aviral Kumar & Ogbeifun, Lawrence & Trabelsi, Nader, 2024. "Demystifying circular economy and inclusive green growth for promoting energy transition and carbon neutrality in Europe," Structural Change and Economic Dynamics, Elsevier, vol. 70(C), pages 666-681.
    13. Almeida, Eloiza R.F. & Araújo, Veneziano & Gonçalves, Solange L., 2022. "Urban wage premium for women: evidence across the wage distribution," World Development, Elsevier, vol. 159(C).
    14. Himaz, Rozana & Aturupane, Harsha, 2021. "Why are boys falling behind? Explaining gender gaps in school attainment in Sri Lanka," World Development, Elsevier, vol. 142(C).
    15. Boris Hirsch & Philipp Lentge & Claus Schnabel, 2022. "Uncovered workers in plants covered by collective bargaining: Who are they and how do they fare?," British Journal of Industrial Relations, London School of Economics, vol. 60(4), pages 929-945, December.
    16. Byambasuren Dorjnyambuu & Mónika Galambosné Tiszberger, 2024. "The sources and structure of wage inequality changes in the selected Central-Eastern European Countries," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 22(4), pages 893-935, December.
    17. Robson, Matthew & Vollmer, Frank & Doğan, Basak Berçin & Grede, Nils, 2024. "Distributional impacts of cash transfers on the multidimensional poverty of refugees: The Emergency Social Safety Net in Turkey," World Development, Elsevier, vol. 179(C).
    18. Cheng, Zhiming, 2021. "Education and consumption: Evidence from migrants in Chinese cities," Journal of Business Research, Elsevier, vol. 127(C), pages 206-215.
    19. Ben Jann, 2021. "Relative distribution analysis in Stata," Stata Journal, StataCorp LP, vol. 21(4), pages 885-951, December.
    20. Patrick Bennett & Aline Butikofer & Kjell G. Salvanes & Darina Steskal, 2022. "Changes in Urban Wages, Jobs, and Workers from 1958-2017," Working Papers 202214, University of Liverpool, Department of Economics.

    Corrections

    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:spr:joecin:v:22:y:2024:i:4:d:10.1007_s10888-023-09617-2. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.