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AI 根据所提供的论文材料归类:摘要明确研究收入数据的参数分位数回归及不对称分布建模,直接对应分位数与分布方向。

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关注这篇论文的作者
Helton Saulo
Roberto Vila
Giovanna V. Borges

收入数据的参数分位数回归

研究问题
收入数据通常正值且不对称,如何利用合适的参数分布建立分位数回归,以描述收入条件分布并开展参数推断?
方法与思路
作者将 Dagum 与 Singh–Maddala 分布按分位数参数重新参数化,建立回归模型,并用最大似然、模拟和残差分析评估。
材料陈述的贡献
摘要称给出分布性质及推断方法,模拟表现符合预期,两类模型在智利家庭收入数据上均获得较好的拟合表现。
阅读关注点
应核对分位数参数化与协变量进入方式、最大似然推断条件、残差诊断,以及模拟和实际拟合的评价指标与比较对象。
阅读边界
这是 arXiv 预印本,同行评审及期刊接收未核实;摘要未给出拟合数值或错设下表现,不能判断其相对非参数方法的优势。

原文摘要

Univariate normal regression models are statistical tools widely applied in many areas of economics. Nevertheless, income data have asymmetric behavior and are best modeled by non-normal distributions. The modeling of income plays an important role in determining workers' earnings, as well as being an important research topic in labor economics. Thus, the objective of this work is to propose parametric quantile regression models based on two important asymmetric income distributions, namely, Dagum and Singh-Maddala distributions. The proposed quantile models are based on reparameterizations of the original distributions by inserting a quantile parameter. We present the reparameterizations, some properties of the distributions, and the quantile regression models with their inferential aspects. We proceed with Monte Carlo simulation studies, considering the maximum likelihood estimation performance evaluation and an analysis of the empirical distribution of two residuals. The Monte Carlo results show that both models meet the expected outcomes. We apply the proposed quantile regression models to a household income data set provided by the National Institute of Statistics of Chile. We showed that both proposed models had a good performance both in terms of model fitting. Thus, we conclude that results were favorable to the use of Singh-Maddala and Dagum quantile regression models for positive asymmetric data, such as income data.

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