量化跨群体消费不平等的不变特征
Quantifying invariant features of within-group inequality in consumption across groups
AI总结:
研究多国多年消费支出分布,发现其近似对数正态分布并带有幂律尾部,经均值归一化和对数缩放后分布一致,表明不同社会经济群体消费差异在适当缩放下相似,提出随机乘法模型量化其不变特征。
摘要:
我们研究多国多年消费支出数据,以提取消费分布的不变特征。我们发现大部分数据近似对数正态分布,随后在极限处出现幂律尾部。在对均值归一化和对数缩放后,这些分布在多维数据(如时间、社会结构和地理位置)下一致。这种现象表明,不同社会和经济群体之间的消费支出差异在适当缩放和归一化下显著相似。进一步,这些结果提供了一个核心分布特征的度量。其他描述性因素,包括社会学、人口统计和政治性质的因素,进一步在该核心分布上添加了变化层。我们提出一个随机乘法模型,以定量描述不变性和分布特征。
英文摘要:
We study unit-level expenditure on consumption across multiple countries and multiple years, in order to extract invariant features of consumption distribution. We show that the bulk of it is lognormally distributed, followed by a power law tail at the limit. The distributions coincide with each other under normalization by mean expenditure and log scaling even though the data is sampled across multiple dimension including, e.g., time, social structure and locations. This phenomenon indicates that the dispersions in consumption expenditure across various social and economic groups are significantly similar subject to suitable scaling and normalization. Further, the results provide a measurement of the core distributional features. Other descriptive factors including those of sociological, demographic and political nature, add further layers of variation on the this core distribution. We present a stochastic multiplicative model to quantitatively characterize the invariance and the distributional features.
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