Engel's Law Reconsidered

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• 作者：Manisha  ; Chakrabarty^a ; Werner  ; Hildenbrand^b ;   ; ¹ ;   ; ^{fghildenbrand@uni-bonn.de}
• 关键词：Empirical laws ; Stochastic association ; Nonparametric regression ; Stochastic dominance ; Kendall's tau ; Quadrant dependence
• 刊名：Journal of Mathematical Economics
• 出版年：2011
• 出版时间：May 2011
• 年：2011
• 卷：47
• 期：3
• 页码：289-299
• 全文大小：612 K

文摘

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 ¦Ó, 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.