论文标题
基于数据深度图的功能数据的同质性测试
Homogeneity Test for Functional Data based on Data-Depth Plots
论文作者
论文摘要
统计中的经典关注点之一是确定两个样本是否来自该人群，即同质性测试。在本文中，我们在功能数据分析的背景下提出了一个均质测试，采用了多变量分析的想法：数据深度图（DD-PTOT）。该DD曲线是Univariate Q-Q图（分位数量词图）的概括。我们提出了一些基于这些DD图的统计数据，并使用引导技术来估计它们的分布。我们通过模拟估算测试的有限样本大小和功率，获得的结果比文献中提出的其他同质性测试获得了结果。最后，将实际异质数据样本中的过程进行了处理，并获得一致的结果。
One of the classic concerns in statistics is determining if two samples come from thesame population, i.e. homogeneity testing. In this paper, we propose a homogeneitytest in the context of Functional Data Analysis, adopting an idea from multivariatedata analysis: the data depth plot (DD-plot). This DD-plot is a generalization of theunivariate Q-Q plot (quantile-quantile plot). We propose some statistics based onthese DD-plots, and we use bootstrapping techniques to estimate their distributions.We estimate the finite-sample size and power of our test via simulation, obtainingbetter results than other homogeneity test proposed in the literature. Finally, weillustrate the procedure in samples of real heterogeneous data and get consistent results.
