英文标题：
《An econophysical approach of polynomial distribution applied to income
and expenditure》
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作者：
Elvis Oltean
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最新提交年份：
2016
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英文摘要：
Polynomial distribution can be applied to dynamical systems in certain situations. Macroeconomic systems characterized by economic variables such as income and wealth can be modelled similarly using polynomials. We extend our previous work to data regarding income from a more diversified pool of countries, which contains developed countries with high income, developed countries with middle income, developing and underdeveloped countries. Also, for the first time we look at the applicability of polynomial distribution to expenditure (consumption). Using cumulative distribution function, we found that polynomials are applicable with a high degree of success to the distribution of income to all countries considered without significant differences. Moreover, expenditure data can be fitted very well by this polynomial distribution. We considered a distribution to be robust if the values for coefficient of determination are higher than 90%. Using this criterion, we decided the degree for the polynomials used in our analysis by trying to minimize the number of coefficients, respectively first or second degree. Lastly, we look at possible correlation between the values from coefficient of determination and Gini coefficient for disposable income.
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中文摘要：
多项式分布可以应用于某些情况下的动力系统。以收入和财富等经济变量为特征的宏观经济系统可以使用多项式进行类似建模。我们将以前的工作扩展到关于更多样化国家收入的数据，这些国家包括高收入的发达国家、中等收入的发达国家、发展中国家和不发达国家。此外，我们首次研究了多项式分布对支出（消费）的适用性。利用累积分布函数，我们发现多项式适用于所有被认为没有显著差异的国家的收入分配。此外，这种多项式分布可以很好地拟合支出数据。我们认为，如果确定系数的值高于90%，则分布是稳健的。使用这个标准，我们通过尝试最小化系数的数量来决定分析中使用的多项式的阶数，分别是一阶或二阶。最后，我们考察了可支配收入的决定系数和基尼系数之间可能存在的相关性。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：General Finance 一般财务
分类描述：Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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一级分类：Physics 物理学
二级分类：Physics and Society 物理学与社会
分类描述：Structure, dynamics and collective behavior of societies and groups (human or otherwise). Quantitative analysis of social networks and other complex networks. Physics and engineering of infrastructure and systems of broad societal impact (e.g., energy grids, transportation networks).
社会和团体（人类或其他）的结构、动态和集体行为。社会网络和其他复杂网络的定量分析。具有广泛社会影响的基础设施和系统（如能源网、运输网络）的物理和工程。
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