A multidimensional view on poverty in the European Union by partial order theory

References

• S. Alkire and J.E. Foster, Counting and multidimensional poverty measurement, J. Public Econom. 95 (2011), pp. 476–487.
   Web of Science ®Google Scholar
• S. Alkire and J.E. Foster, Understandings and misunderstandings of multidimensional poverty measurement, J. Econom. Inequal. 9 (2011), pp. 289–314.
   Web of Science ®Google Scholar
• P. Annoni, M. Fattore, and R. Bruggemann, A multi-criteria fuzzy approach for analyzing poverty structure, Stat. Appl. Spec. Issue. (2011), pp. 7–31.
   Google Scholar
• P. Annoni and D. Weziak-Bialowolska, A measure to target anti-poverty policies in the European Union regions, Appl. Res. Qual. Life. in press. doi:10.1007/s11482-014-9361-z
   Web of Science ®Google Scholar
• P. Annoni, D. Weziak-Bialowolska, and L. Dijkstra, Quality of life at the sub-national level: an operational example for the EU, JRC Sci. Policy Reports, EUR 25630, 2012.
   Google Scholar
• G.M. Antony and K. Visweswara Rao, A composite index to explain variations in poverty, health, nutritional status and standard of living: use of multivariate statistical methods, Public Health. 121 (2007), pp. 578–587.
   PubMed Web of Science ®Google Scholar
• A.B. Atkinson, E. Marlier, and P. Wolff, Beyond GDP, measuring well-being and EU-SILC, in Income and Living Conditions in Europe. Eurostat – Statistical books, A.B. Atkinson, E. Marlier, eds., Publications Office of the European Union, Luxembourg, 2010, pp. 388–397.
   Google Scholar
• G. Betti, F. Gagliardi, A. Lemmi, V. Verma, Subnational indicators of poverty and deprivation in Europe: methodology and applications, Camb. J. Reg. Econom. Soc. 5 (2012), pp. 129–147.
   Web of Science ®Google Scholar
• G. Birkhoff, Lattice Theory. American Mathematical Society, Vol. XXV, Colloquium Publications, Providence, Rhode Island, 1984.
   Google Scholar
• H.H. Bock, Automatische Klassifikation, Vandenhoeck&Ruprecht, Göttingen, 1974.
   Google Scholar
• R. Bruggemann and L. Carlsen, An improved estimation of averaged ranks of partial orders, MATCH Commun. Math. Comput. Chem. 65 (2011), pp. 383–414.
   Web of Science ®Google Scholar
• R. Bruggemann and L. Carlsen, Multi-criteria decision analyses. Viewing MCDA in terms of both process and aggregation methods: some thoughts, motivated by the paper of Huang, Keisler and Linkov, Sci. Total Environ. 425 (2012), pp. 293–295.
   PubMed Web of Science ®Google Scholar
• R. Bruggemann and L. Carlsen, Incomparable – what now? MATCH Commun. Math. Comput. Chem. 71 (2014), pp. 699–716.
   Web of Science ®Google Scholar
• R. Bruggemann, L. Carlsen, K. Voigt, and R. Wieland, PyHasse software for partial order analysis, in Multi-Indicator Systems and Modelling in Partial Order, R. Bruggemann, L. Carlsen, and J. Wittmann, eds., Springer, New York, 2014, pp. 389–423.
   Google Scholar
• R. Bruggemann and G.P. Patil, Ranking and Prioritization for Multi-indicator Systems – Introduction to Partial Order Applications, Springer, New York, 2011.
   Google Scholar
• E. Callander, D. Schofield, and R. Shrestha, Towards a holistic understanding of poverty: a new multidimensional measure of poverty for Australia, Health Soc. Rev. 21 (2012), pp. 141–155.
   Web of Science ®Google Scholar
• K. Decancq and M.A. Lugo, Weights in multidimensional indices of wellbeing: an overview, Econom. Rev. 32 (2013), pp. 7–34.
   Web of Science ®Google Scholar
• EU-SILC. European Union Statistics on Income and Living Conditions [Internet]. 2010. Available at: http://epp.eurostat.ec.europa.eu/portal/page/portal/microdata/eu_silc
   Google Scholar
• J. Figueira, S. Greco, and M. Ehrgott, Multiple Criteria Decision Analysis, State of the Art Surveys, Springer, Boston, MA, 2005.
   Google Scholar
• J. Foster, J. Greer, and E. Thorbecke, A class of decomposable poverty measures, Econometrica. 52 (1984), pp. 761–765.
   Web of Science ®Google Scholar
• J.E. Foster, M. McGillivray, and S. Seth, Composite indices: rank robustness, statistical association, and redundancy, Econom. Rev. 32 (2013), pp. 35–56.
   Web of Science ®Google Scholar
• S. Hajkowicz and A. Higgins, A comparison of multiple criteria analysis techniques for water resource management, Eur. J. Oper. Res. 184 (2008), pp. 255–265.
   Web of Science ®Google Scholar
• E. Halfon and M.G. Reggiani, On ranking chemicals for environmental hazard, Environ. Sci. Technol. 20 (1986), pp. 1173–1179.
   Web of Science ®Google Scholar
• N.T. Longford, M.G. Pittau, R. Zelli, R. Massari, Measures of poverty and inequality in the countries and regions of EU, J. Appl. Stat. 39 (2012), pp. 1557–1576.
   Web of Science ®Google Scholar
• N. Lustig, Multidimensional indices of achievements and poverty: what do we gain and what do we lose? An introduction to JOEI Forum on multidimensional poverty, J. Econom. Inequal. 9 (2011), pp. 227–234.
   Web of Science ®Google Scholar
• I. Molina and J.N.K. Rao, Small area estimation of poverty indicators, Can. J. Stat. 38 (2010), pp. 369–385.
   Web of Science ®Google Scholar
• A.M. Mood, F.A. Graybill, and D.C. Boes, Introduction to the Theory of Statistics, 3rd ed., McGraw Hill, New York, 1974.
   Google Scholar
• G. Munda, Social Multi-criteria Evaluation for a Sustainable Economy, Springer, Heidelberg, 2008, p. 227.
   Google Scholar
• J. Navicke, O. Rastrigina, and H. Sutherland, Nowcasting indicators of poverty risk in the European Union: a microsimulation approach, Soc. Indic. Res. (2013). doi:10.1007/s11205-013-04918
   Web of Science ®Google Scholar
• J. Neggers and H. Kim, Basic Posets, World Scientific, Singapore, 1998.
   Google Scholar
• M. Ravallion, On multidimensional indices of poverty, J. Econom. Inequal. 9 (2011), pp. 235–248.
   Web of Science ®Google Scholar
• M. Rojas, Happiness, income, and beyond, Appl. Res. Qual. Life. 6 (2011), pp. 265–276.
   Web of Science ®Google Scholar
• M.M. Rueda and J.F. Muñoz, Estimation of poverty measures with auxiliary information in sample surveys, Qual. Quant. 45 (2011), pp. 687–700.
   Web of Science ®Google Scholar
• L. Sachs, Angewandte Statistik – Anwendung statistischer Methoden, 7th ed., Springer, Berlin, 1992.
   Google Scholar
• P. Saunders, The Poverty Wars: Reconnecting Research with Reality, UNSW Press, Sydney, 2005.
   Google Scholar
• R.J. Thiessen and G. Achari, Can the national classification system for contaminated sites be used to rank sites, J. Civ. Eng. 39 (2012), pp. 415–431.
   Web of Science ®Google Scholar
• V.-M. Törmälehto and H. Sauli, Distributional impact of imputed rent in EU-SILC, Eurostat Methodologies Working Paper, 2010, pp. 1–78.
   Google Scholar
• W.T. Trotter, Combinatorics and Partially Ordered Sets: Dimension Theory, The Johns Hopkins University Press, Baltimore, 1992.
   Google Scholar
• U. Wagle, Multidimensional Poverty Measurement. Concepts and Applications, Springer, New York, NY, 2008.
   Google Scholar
• P. Winkler, Average height in a partially ordered set, Discrete Math. 39 (1982), pp. 337–341.
   Web of Science ®Google Scholar