Engel's Law Reconsidered
Engel's Law expresses a negative stochastic association of the bivariate distribution of income and food share across a population. Among the many different definitions which can be found in the statistical literature four concepts are discussed and tested: Kendall's τ, quadrant dependence, stochastic decreasing conditional food share distribution function and decreasing regression. Only the last one is used in the economic literature, yet it does not imply useful information of the underlying distribution. For linking Engels's Law to micro-economics, stronger concepts of stochastic association are needed. This motivates the empirical study of the proposed alternative concepts of negative association.
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- Richard W. Blundell & Martin Browning & Ian A. Crawford, 2003.
"Nonparametric Engel Curves and Revealed Preference,"
Econometric Society, vol. 71(1), pages 205-240, January.
- Richard Blundell & Martin Browning & Ian Crawford, 1998. "Nonparametric Engel Curves and Revealed Preference," Discussion Papers 99-07, University of Copenhagen. Department of Economics.
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"Cross section Engel Curves over Time,"
Discussion Papers (REL - Recherches Economiques de Louvain)
1991045, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
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- HÄRDLE, Wolfgang & JERISON, Michael, . "Cross section Engel curves over time," CORE Discussion Papers RP 991, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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- Karl Schlag, 2008. "A new method for constructing exact tests without making any assumptions," Economics Working Papers 1109, Department of Economics and Business, Universitat Pompeu Fabra.
- Joachim Engel & Alois Kneip, 1996. "Recent approaches to estimating Engel curves," Journal of Economics, Springer, vol. 63(2), pages 187-212, June.
- Roger Newson, 2002. "Parameters behind "nonparametric" statistics: Kendall's tau,Somers' D and median differences," Stata Journal, StataCorp LP, vol. 2(1), pages 45-64, February.
- Garry F. Barrett & Stephen G. Donald, 2003. "Consistent Tests for Stochastic Dominance," Econometrica, Econometric Society, vol. 71(1), pages 71-104, January.
- Qi Li & Jeffrey Scott Racine, 2006. "Nonparametric Econometrics: Theory and Practice," Economics Books, Princeton University Press, edition 1, number 8355, 01-2013.
- Lewbel, Arthur, 1991. "The Rank of Demand Systems: Theory and Nonparametric Estimation," Econometrica, Econometric Society, vol. 59(3), pages 711-30, May.
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