Income share elasticity is a function π which can describe the size distribution of income (Esteban in Intern Econ Rev 27:439–444, 1986). On the other hand, the conventional density representation of the latter gives parameters of first or second order stochastic dominance (SD), widely used to describe shifts in income distribution, to which inequality measures are attached. The paper draws a link between the two, by providing conditions such that a given shift to π is equivalent to a first or second order SD shift of the distribution of income. Some applications to Lorenz rankings are also provided.
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机译：收入份额弹性是一个函数π，可以描述收入的大小分布（Esteban in Intern Econ Rev 27：439-444，1986）。另一方面，后者的常规密度表示给出了一阶或二阶随机优势度（SD）的参数，该参数广泛用于描述收入分配的变化，并附加了不平等度量。本文通过提供条件使给定的π偏移等于收入分配的一阶或二阶SD偏移，在两者之间建立了联系。还提供了对Lorenz排名的一些应用程序。
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