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摘要翻译：
两个分布的中位数或其他合适的分位数之比在医学研究中被广泛用于比较治疗组和对照组，或者在经济学中，当有重复的截面数据时，用于比较各种经济变量。受贫困研究中引入的所谓增长发生率曲线的启发，我们认为分位数函数的比值是比较两种分布的更合适和信息更丰富的工具。我们给出了分位函数比的一个估计量，并建立了相应的同时置信带，该置信带允许评估分位函数比的某些特征的显著性。导出的同时置信带依赖于分位数函数比的渐近分布，不需要重采样技术。仿真结果表明了同时置信带的性能。对乌干达1999年、2002年和2005年支出数据的分析表明了我们的做法的相关性。
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英文标题：
《Asymptotic Distribution and Simultaneous Confidence Bands for Ratios of
Quantile Functions》
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作者：
Fabian Dunker, Stephan Klasen, Tatyana Krivobokova
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最新提交年份：
2017
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分类信息：
一级分类：Statistics 统计学
二级分类：Methodology 方法论
分类描述：Design, Surveys, Model Selection, Multiple Testing, Multivariate Methods, Signal and Image Processing, Time Series, Smoothing, Spatial Statistics, Survival Analysis, Nonparametric and Semiparametric Methods
设计，调查，模型选择，多重检验，多元方法，信号和图像处理，时间序列，平滑，空间统计，生存分析，非参数和半参数方法
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一级分类：Economics 经济学
二级分类：Econometrics 计量经济学
分类描述：Econometric Theory, Micro-Econometrics, Macro-Econometrics, Empirical Content of Economic Relations discovered via New Methods, Methodological Aspects of the Application of Statistical Inference to Economic Data.
计量经济学理论，微观计量经济学，宏观计量经济学，通过新方法发现的经济关系的实证内容，统计推论应用于经济数据的方法论方面。
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一级分类：Statistics 统计学
二级分类：Applications 应用程序
分类描述：Biology, Education, Epidemiology, Engineering, Environmental Sciences, Medical, Physical Sciences, Quality Control, Social Sciences
生物学，教育学，流行病学，工程学，环境科学，医学，物理科学，质量控制，社会科学
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英文摘要：
Ratio of medians or other suitable quantiles of two distributions is widely used in medical research to compare treatment and control groups or in economics to compare various economic variables when repeated cross-sectional data are available. Inspired by the so-called growth incidence curves introduced in poverty research, we argue that the ratio of quantile functions is a more appropriate and informative tool to compare two distributions. We present an estimator for the ratio of quantile functions and develop corresponding simultaneous confidence bands, which allow to assess significance of certain features of the quantile functions ratio. Derived simultaneous confidence bands rely on the asymptotic distribution of the quantile functions ratio and do not require re-sampling techniques. The performance of the simultaneous confidence bands is demonstrated in simulations. Analysis of the expenditure data from Uganda in years 1999, 2002 and 2005 illustrates the relevance of our approach.
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PDF链接：
https://arxiv.org/pdf/1710.09009
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