IDEAS home Printed from https://ideas.repec.org/a/gam/jecnmx/v8y2020i2p26-d373323.html
   My bibliography  Save this article

Gini Index Estimation within Pre-Specified Error Bound: Application to Indian Household Survey Data

Author

Listed:
  • Francis Bilson Darku

    (Mendoza College of Business, University of Notre Dame, Notre Dame, IN 46556, USA
    This work is part of the final dissertation of Francis Bilson Darku that was submitted to the Department of Mathematical Sciences at The University of Texas at Dallas.)

  • Frank Konietschke

    (Institute of Biometry and Clinical Epidemiology, Charité—Universitätsmedizin Berlin, 10117 Berlin, Germany
    Berlin Institute of Health, Anna-Louisa-Karsch-Straße 2, 10178 Berlin, Germany)

  • Bhargab Chattopadhyay

    (Department of Decision Sciences and Information Systems, Indian Institute of Management Visakhapatnam, Visakhapatnam, Andhra Pradesh 530003, India)

Abstract

The Gini index, a widely used economic inequality measure, is computed using data whose designs involve clustering and stratification, generally known as complex household surveys. Under complex household survey, we develop two novel procedures for estimating Gini index with a pre-specified error bound and confidence level. The two proposed approaches are based on the concept of sequential analysis which is known to be economical in the sense of obtaining an optimal cluster size which reduces project cost (that is total sampling cost) thereby achieving the pre-specified error bound and the confidence level under reasonable assumptions. Some large sample properties of the proposed procedures are examined without assuming any specific distribution. Empirical illustrations of both procedures are provided using the consumption expenditure data obtained by National Sample Survey (NSS) Organization in India.

Suggested Citation

  • Francis Bilson Darku & Frank Konietschke & Bhargab Chattopadhyay, 2020. "Gini Index Estimation within Pre-Specified Error Bound: Application to Indian Household Survey Data," Econometrics, MDPI, vol. 8(2), pages 1-20, June.
    • Handle: RePEc:gam:jecnmx:v:8:y:2020:i:2:p:26-:d:373323
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2225-1146/8/2/26/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2225-1146/8/2/26/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bhargab Chattopadhyay & Shyamal Krishna De, 2016. "Estimation of Gini Index within Pre-Specified Error Bound," Econometrics, MDPI, vol. 4(3), pages 1-12, June.
    2. Ričardas Zitikis & Joseph L. Gastwirth, 2002. "The Asymptotic Distribution of the S–Gini Index," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 44(4), pages 439-446, December.
    3. Kanninen Barbara J., 1993. "Design of Sequential Experiments for Contingent Valuation Studies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 1-11, July.
    4. Victor Aguirregabiria & Pedro Mira, 2007. "Sequential Estimation of Dynamic Discrete Games," Econometrica, Econometric Society, vol. 75(1), pages 1-53, January.
    5. William Greene, 1998. "Gender Economics Courses in Liberal Arts Colleges: Comment," Working Papers 98-06, New York University, Leonard N. Stern School of Business, Department of Economics.
    6. Peter Arcidiacono & John Bailey Jones, 2003. "Finite Mixture Distributions, Sequential Likelihood and the EM Algorithm," Econometrica, Econometric Society, vol. 71(3), pages 933-946, May.
    7. William H. Greene, 1998. "Gender Economics Courses in Liberal Arts Colleges: Further Results," The Journal of Economic Education, Taylor & Francis Journals, vol. 29(4), pages 291-300, January.
    8. Bhattacharya, Debopam, 2007. "Inference on inequality from household survey data," Journal of Econometrics, Elsevier, vol. 137(2), pages 674-707, April.
    9. Shyamal K. De & Bhargab Chattopadhyay, 2017. "Minimum Risk Point Estimation of Gini Index," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 247-277, November.
    10. Bhattacharya, Debopam, 2005. "Asymptotic inference from multi-stage samples," Journal of Econometrics, Elsevier, vol. 126(1), pages 145-171, May.
    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. Shyamal K. De & Bhargab Chattopadhyay, 2017. "Minimum Risk Point Estimation of Gini Index," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 247-277, November.
    2. Iain M. Cockburn & Megan J. MacGarvie, 2011. "Entry and Patenting in the Software Industry," Management Science, INFORMS, vol. 57(5), pages 915-933, May.
    3. Uwe Jirjahn & Jens Mohrenweiser & Stephen C Smith, 2022. "Works councils and workplace health promotion in Germany," Economic and Industrial Democracy, Department of Economic History, Uppsala University, Sweden, vol. 43(3), pages 1059-1094, August.
    4. Joan Costa-Font & Mireia Jofre-Bonet, 2013. "Anorexia, Body Image and Peer Effects: Evidence from a Sample of European Women," Economica, London School of Economics and Political Science, vol. 80(317), pages 44-64, January.
    5. Pérez, Carlos & Martín-Román, Ángel & Moral, Alfonso, 2020. "Two decades of the complementary leisure effect in Spain," The Journal of the Economics of Ageing, Elsevier, vol. 15(C).
    6. Huang, Qianqian & Jiang, Feng & Lie, Erik & Yang, Ke, 2014. "The role of investment banker directors in M&A," Journal of Financial Economics, Elsevier, vol. 112(2), pages 269-286.
    7. Vivien Burrows, 2018. "The Impact of House Prices on Consumption in the UK: a New Perspective," Economica, London School of Economics and Political Science, vol. 85(337), pages 92-123, January.
    8. Ridhima Gupta, 2011. "Agro-environmental revolution in Punjab: Case of the happy seeder technology," Discussion Papers 11-11, Indian Statistical Institute, Delhi.
    9. Marchetta, Francesca, 2012. "Return Migration and the Survival of Entrepreneurial Activities in Egypt," World Development, Elsevier, vol. 40(10), pages 1999-2013.
    10. Chen, Sheng-Syan & Hsu, Ching-Yu & Huang, Chia-Wei, 2016. "The white squire defense: Evidence from private investments in public equity," Journal of Banking & Finance, Elsevier, vol. 64(C), pages 16-35.
    11. François‐Charles Wolff & Ralitza Dimova, 2009. "Upstream Transfers And The Donor'S Labour Supply: Evidence From Migrants Living In France," Manchester School, University of Manchester, vol. 77(2), pages 204-224, March.
    12. Aguirregabiria, Victor & Mira, Pedro, 2010. "Dynamic discrete choice structural models: A survey," Journal of Econometrics, Elsevier, vol. 156(1), pages 38-67, May.
    13. Mehrzad B. Baktash & John S. Heywood & Uwe Jirjahn, 2022. "Performance pay and alcohol use in Germany," Industrial Relations: A Journal of Economy and Society, Wiley Blackwell, vol. 61(4), pages 353-383, October.
    14. Baktash, Mehrzad B. & Heywood, John S. & Jirjahn, Uwe, 2023. "Does Performance Pay Increase the Risk of Marital Instability?," GLO Discussion Paper Series 1305, Global Labor Organization (GLO).
    15. Blasch, Julia & Filippini, Massimo & Kumar, Nilkanth, 2019. "Boundedly rational consumers, energy and investment literacy, and the display of information on household appliances," Resource and Energy Economics, Elsevier, vol. 56(C), pages 39-58.
    16. Lefebvre, Marianne & Raggi, Meri & Gomez Y Paloma, Sergio & Viaggi, Davide, 2014. "An analysis of the intention-realisation discrepancy in EU farmers’ land investment decisions," Review of Agricultural and Environmental Studies - Revue d'Etudes en Agriculture et Environnement (RAEStud), Institut National de la Recherche Agronomique (INRA), vol. 95(1).
    17. Uwe Jirjahn, 2016. "Works Councils and Employer Attitudes toward the Incentive Effects of HRM Practices," Research Papers in Economics 2016-07, University of Trier, Department of Economics.
    18. Pfeiffer, Friedhelm & Reize, Frank, 2000. "Business start-ups by the unemployed -- an econometric analysis based on firm data," Labour Economics, Elsevier, vol. 7(5), pages 629-663, September.
    19. Uwe Jirjahn & Jens Mohrenweiser, 2021. "Works councils and organizational gender policies in Germany," British Journal of Industrial Relations, London School of Economics, vol. 59(4), pages 1020-1048, December.
    20. 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.

    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:gam:jecnmx:v:8:y:2020:i:2:p:26-:d:373323. 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.

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