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Simplified Jackknife Variance Estimates for Fuzzy Measures of Multidimensional Poverty

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  • Gianni Betti
  • Francesca Gagliardi
  • Vijay Verma

Abstract

In this paper, we present a practical methodology for variance estimation for multi†dimensional measures of poverty and deprivation of households and individuals, derived from sample surveys with complex designs and fairly large sample sizes. The measures considered are based on fuzzy representation of individuals' propensity to deprivation in monetary and diverse non†monetary dimensions. We believe this to be the first original contribution for estimating standard errors for such fuzzy poverty measures. The second objective is to describe and numerically illustrate computational procedures and difficulties in producing reliable and robust estimates of sampling error for such complex statistics. We attempt to identify some of these problems and provide solutions in the context of actual situations. A detailed application based on European Union Statistics on Income and Living Conditions data for 19 NUTS2 regions in Spain is provided.

Suggested Citation

  • Gianni Betti & Francesca Gagliardi & Vijay Verma, 2018. "Simplified Jackknife Variance Estimates for Fuzzy Measures of Multidimensional Poverty," International Statistical Review, International Statistical Institute, vol. 86(1), pages 68-86, April.
    • Handle: RePEc:bla:istatr:v:86:y:2018:i:1:p:68-86
    DOI: 10.1111/insr.12219
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    Cited by:

    1. Srinivas Goli & Nagendra Kumar Maurya & Moradhvaj & Prem Bhandari, 2019. "Regional Differentials in Multidimensional Poverty in Nepal: Rethinking Dimensions and Method of Computation," SAGE Open, , vol. 9(1), pages 21582440198, March.
    2. Margherita Casini & Francesca Gagliardi & Gianni Betti, 2018. "Sustainable Development Goals indicators: a methodological proposal for a fuzzy Super Index in the Mediterranean area," Department of Economics University of Siena 782, Department of Economics, University of Siena.
    3. Tavares, Fernando Flores & Betti, Gianni, 2021. "The pandemic of poverty, vulnerability, and COVID-19: Evidence from a fuzzy multidimensional analysis of deprivations in Brazil," World Development, Elsevier, vol. 139(C).
    4. Vladimir Menshikov & Irena Kokina & Vera Komarova & Oksana Ruža & Alina Danileviča, 2020. "Measuring multidimensional poverty within the resource-based approach: a case study of Latgale region, Latvia," Entrepreneurship and Sustainability Issues, VsI Entrepreneurship and Sustainability Center, vol. 8(2), pages 1211-1227, December.
    5. Martina Ciani & Francesca Gagliardi & Samuele Riccarelli & Gianni Betti, 2018. "Fuzzy Measures of Multidimensional Poverty in the Mediterranean Area: A Focus on Financial Dimension," Sustainability, MDPI, vol. 11(1), pages 1-13, December.
    6. Matheus Pereira Libório & Petr Yakovlevitch Ekel & Oseias da Silva Martinuci & Letícia Ribeiro Figueiredo & Renato Moreira Hadad & Renata de Mello Lyrio & Patrícia Bernardes, 2022. "Fuzzy set based intra-urban inequality indicator," Quality & Quantity: International Journal of Methodology, Springer, vol. 56(2), pages 667-687, April.
    7. Gianni Betti & Francesca Gagliardi & Laura Neri, 2021. "The Heavy Burden of “Dependent Children”: An Italian Story," Sustainability, MDPI, vol. 13(17), pages 1-12, September.
    8. Ali Asadi & Gianni Betti & Francesca Gagliardi & Hossein Khoshbakht, 2018. "Multidimensional and fuzzy poverty at regional level in Iran," Department of Economics University of Siena 796, Department of Economics, University of Siena.
    9. Margherita Casini & Simone Bastianoni & Francesca Gagliardi & Massimo Gigliotti & Angelo Riccaboni & Gianni Betti, 2019. "Sustainable Development Goals Indicators: A Methodological Proposal for a Multidimensional Fuzzy Index in the Mediterranean Area," Sustainability, MDPI, vol. 11(4), pages 1-25, February.
    10. Nita Handastya & Gianni Betti, 2023. "The ‘Double Fuzzy Set’ Approach to Multidimensional Poverty Measurement: With a Focus on the Health Dimension," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 166(1), pages 201-217, February.

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