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Dynamics of HDI Index: Temporal Dependence Based on D-vine Copulas Model for Three-Way Data

Author

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  • Marta Nai Ruscone

    (University of Genova)

  • Daniel Fernández

    (Polytechnic University of Catalonia-BarcelonaTech
    Institute of Mathematics of UPC - BarcelonaTech (IMTech))

Abstract

The HDI (Human Development Index) is a widely used index based on the average of measures of health, education, and income. It assesses the progress of countries worldwide. The publicly available data set associated with the HDI can be seen as a table with 3 dimensions (three-way table): countries, indexes regarding progress, and years (from 2010 to 2018). Thus, modeling the serial dependence structure of this type of intricate three-way tables is a challenge. D-vine copulas are a special class of multivariate copulas that are particularly suited for modeling serial dependence. This work aims to assess the evolution of the dependence relationship between the indexes of the HDI data set over time through D-vine copulas, which has not been fully used before in the area, as far as we are concerned. We tested our approach to European and African countries and compare their results.

Suggested Citation

  • Marta Nai Ruscone & Daniel Fernández, 2021. "Dynamics of HDI Index: Temporal Dependence Based on D-vine Copulas Model for Three-Way Data," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 158(2), pages 563-593, December.
    • Handle: RePEc:spr:soinre:v:158:y:2021:i:2:d:10.1007_s11205-021-02682-y
    DOI: 10.1007/s11205-021-02682-y
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    References listed on IDEAS

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    1. Culotta, Fabrizio & Alaimo, Leonardo Salvatore & Bravo, Jorge Miguel & di Bella, Enrico & Gandullia, Luca, 2022. "Total-employed longevity gap, pension fairness and public finance: Evidence from one of the oldest regions in EU," Socio-Economic Planning Sciences, Elsevier, vol. 82(PA).
    2. Andrea Nigri & Susanna Levantesi & Gabriella Piscopo, 2022. "Causes-of-Death Specific Estimates from Synthetic Health Measure: A Methodological Framework," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 162(2), pages 887-908, July.

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