Poverty measures and poverty orderings

• Autores: Miguel Angel Sordo Díaz , Héctor Manuel Ramos Romero , Carmen Dolores Ramos González
• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 31, Nº. 2, 2007, págs. 169-180
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We examine the conditions under which unanimous poverty rankings of income distributions can be obtained for a general class of poverty indices. The �per-capita income gap� and the Shorrocks and Thon poverty measures are particular members of this class. The conditions of dominance are stated in terms of comparisons of the corresponding TIP curves and areas.

• Referencias bibliográficas
  • Atkinson, A.B. (1970). On the measurement of inequality. Journal of Economic Theory, 2, 244-263.
  • Atkinson, A.B. (1987). On the measurement of poverty. Econometrica, 55, 749-764.
  • Atkinson, A.B. (1992). Measuring poverty and differences in family composition. Economica, 59, 1-16.
  • Baccelli, F. and Makowski, A.M. (1989). Multi-dimensional stochastic ordering and associated random variables. Operations Research, 37, 478-487.
  • Bhattacharjee, M.C. (1991). Some generalized variability orderings among life distributions with reliability applications. Journal of Applied...
  • Bhattacharjee, M.C. and Bhattacharya, R.N. (2000). Stochastic equivalence of convex ordered distributions and applications. Probability in...
  • Bhattacharjee, M.C. and Sethuraman, J. (1990). Families of life distributions characterized by two moments. Journal of Applied Probability,...
  • Cai, J. and Wu, Y. (1997). Characterization of life distributions under some generalized stochastic orderings. Journal of Applied Probability,...
  • Davidson, R. and Duclos, J. (2000). Statistical inference for stochastic dominance and for the measurement of poverty and inequality. Econometrica,...
  • Duclos, J. and Gregoire, P. (2002). Absolute and Relative Deprivation and the Measurement of Poverty. Review of Income and Wealth, 48, 471-92.
  • Duclos, J. and Araar, A. (2006). Poverty and Equity: Measurement, Policy and Estimation with DAD. New York: Springer.
  • Del Rı́o, C. and Ruiz Castillo, J. (2001). Intermediate Inequality and Welfare: The Case of Spain, 1980-81 to 1990-91. Review of Income...
  • Del Rı́o, C. and Ruiz Castillo, J. (2001). TIPs for Poverty Analysis: The Case of Spain, 1980-81 to 1990- 91. Investigaciones Economicas,...
  • Denuit, M., Lefèvre, C. and Shaked, M. (2000). On the theory of high convexity stochastic orders. Statistics and Probability Letters, 47,...
  • Foster, J.E. (1984). On economic poverty: a survey of aggregate measures. Advances in Econometrics, 3, 215-251.
  • Foster, J.E., Greer, J. and Thorbecke, E. (1984). Notes and comments. A class of decomposable poverty measures. Econometrica, 52, 761-766.
  • Foster, J.E. and Shorrocks, A.F. (1988). Notes and comments. Poverty orderings. Econometrica, 56, 173- 177.
  • Foster, J.E. and Shorrocks, A.F. (1988). Poverty orderings and welfare dominance. Social Choice and Welfare, 5, 179-198.
  • Hagenaars, A. (1987). A class of poverty indices. International Economics Review, 28, 583-607.
  • Howes, S. (1993). Mixed Dominance: a New Criterion for Analysis. UK: Mimeo. London School of Economics.
  • Jenkins, S.P. and Lambert, P.J. (1993). Ranking income distributions when needs differ. Review of Income and Wealth, 39, 337-356.
  • Jenkins, S.P. and Lambert, P.J. (1997). Three I’s of poverty curves, with an analysis of UK poverty trends. Oxford Economics Papers, 49, 317-327.
  • Jenkins S.P. and Lambert, P.J. (1998). Ranking poverty gap distributions: further tips for poverty analysis. Research on Economic Inequality,...
  • Jenkins S.P. and Lambert, P.J. (1998). Three I’s of poverty curves and poverty dominance: tips for poverty analysis. Research on Economic...
  • Jun, C. (1994). Characterizations of life distributions by moments of extremes and sample mean. Journal of Applied Probability, 31, 148-155.
  • Li, H. and Zhu, H. (1994). Stochastic equivalence of ordered random variables with applications in reliability theory. Statistics and Probability...
  • Mehran, F. (1976). Linear measures of income inequality. Econometrica, 44, 805-809.
  • Scarsini, M. and Shaked, M. (1990). Some conditions for stochastic equality. Naval Research Logistics Quarterly, 37, 617-625.
  • Sen, A. (1976). Poverty: an ordinal approach to measurement. Econometrica, 44, 219-231.
  • Shorrocks, A.F. (1995). Notes and comments. Revisiting the Sen poverty index. Econometrica, 63, 1225- 1230.
  • Shorrocks, A.F. (1998). Deprivation profiles and deprivation indices. In The Distribution of Welfare and Household Production: International...
  • Spencer, B.D. and Fisher, S. (1992). On comparing distributions of poverty gaps. Sankhya: The Indian Journal of Statistics, Series B 54, 114-126.
  • Stoyan, D. (1983). Comparison Methods for Queues and Other Stochastic Models. New York: John Wiley.
  • Thon, D. (1979). On measuring poverty. Review of Income and Wealth, 25, 429-440.
  • Thon, D. (1983). A poverty measure. Indian Economic Journal, 30, 55-70.
  • Zheng, B. (1999). On the power of poverty orderings. Social Choice and Welfare, 16, 349-371.
  • Zheng, B. (2000). Poverty orderings. Journal of Economics Surveys, 14, 427-466.
  • Zygmund, A. (1959). Trigonometric series Vol. I. Cambridge: Cambridge University Press.