基尼指数和福利指数变动的联合分布
On the joint distribution of variations of the Gini index and Welfare indices
摘要：
本文的目的是通过使用Mergane和Lo（2013）描述的高斯场来确定基尼指数和贫困指标相互影响的渐近行为。结果给出的表现定理使用的高斯场的一维或二维功能布朗桥。这样的表示，当与那些已经可用的，导致联合渐近分布与其他感兴趣的统计，如增长，福利和不平等指数，然后，揭示有趣的结果，它们之间的相互影响。结果也适用于研究增长是否公平，这取决于不平等措施的变化。数据驱动应用程序也可用。虽然这些方差乍看起来很复杂，但在我们提供的R码的帮助下，它们的计算是可能的，这需要得到指标的置信区间。除了目前的结果，所提供的表示是有用的，与其他统计的不同。
英文摘要：
The aim of this paper is to establish the asymptotic behavior of the mutual influence of the Gini index and the poverty measures by using the Gaussian fields described in Mergane and Lo(2013). The results are given as representation theorems using the Gaussian fields of the unidimensional or the bidimensional functional Brownian bridges. Such representations, when combined with those already available, lead to joint asymptotic distributions with other statistics of interest like growth, welfare and inequality indices and then, unveil interesting results related to the mutual influence between them. The results are also appropriate for studying whether a growth is fair or not, depending on the variation of the inequality measure. Datadriven applications are also available. Although the variances may seem complicated at a first sight, their computations which are needed to get confidence intervals of the indices, are possible with the help of R codes we provide. Beyond the current results, the provided representations are useful in connection with different ones of other statistics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
