Engel's verbal formulation of his Law expresses a "negativ stochastic association" of the bivariate distribution of income and food share across the population. Among the many different definitions of association four are chosen: Kendall's tau, negative quadrant dependence, stochastically...

Engel's verbal formulation of his Law expresses a "negativ stochastic association" of the bivariate distribution of income and food share across the population. Among the many different definitions of association four are chosen: Kendall's tau, negative quadrant dependence, stochastically...

This paper attempts to find out the explanatory power of observed changes in the distribution of current income in explaining the relative change in aggregate consumption using the distributional approach of aggregation by Hildenbrand and Kneip (1999, 2001). The coefficients in the aggregate...

This paper attempts to provide empirical evidence of the positive definiteness of the mean income effect matrix, a sufficient condition for market demand to satisfy the 'law of demand' derived by Härdle, Hildenbrand and Jerison [HHJ(1991)]. Increasing heterogeneity in spending of populations of...

This paper empirically tests the validity of using only mean income as a representative variable for the whole population in the aggregate consumption relation and of assuming time-invariance of the coefficients in this relation, as done in macromodels. We use a statistical distributional...

This paper empirically tests the validity of using only mean income as a representative variable for the whole population in the aggregate consumption relation and of assuming time-invariance of the coefficients in this relation, as done in macromodels. We use a statistical distributional...

This paper attempts to find out the explanatory power of observed changes in the distribution of current income in explaining the relative change in aggregate consumption using the distributional approach of aggregation by Hildenbrand and Kneip (1999, 2001). The coefficients in the aggregate...

This paper attempts to provide empirical evidence of the positive definiteness of the mean income effect matrix, a sufficient condition for market demand to satisfy the {\it law of demand} derived by H\"{a}rdle, Hildenbrand and Jerison [HHJ(1991)]. Increasing heterogeneity in spending of...

It is shown how one can effectively use cross-section data in modelling the change over time in aggregate consumption expenditure of a heterogeneous population. The starting point of our aggregation analysis is a dynamic behavioral relation on the household level. Based on certain hypotheses on...

It is shown how one can effectively use microdata in modelling the change over time in an aggregate (e.g. mean consumption expenditure) of a large and heterogeneous population. The starting point of our aggregation analysis is a specification of explanatory variables on the micro-level....