文章基本信息

标题：Asymptotic hypotheses testing for the colour blind problem
本地全文：下载
作者：Laura Dumitrescu ; Estate V. Khmaladze
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2019
卷号：13
期号：2
页码：4573-4595
DOI：10.1214/19-EJS1634
语种：English
出版社：Institute of Mathematical Statistics
摘要：Within a nonparametric framework, we consider the problem of testing the equality of marginal distributions for a sequence of independent and identically distributed bivariate data, with unobservable order in each pair. In this case, it is not possible to construct the corresponding empirical distributions functions and yet this article shows that a systematic approach to hypothesis testing is possible and provides an empirical process on which inference can be based. Furthermore, we identify the linear statistics that are asymptotically optimal for testing the hypothesis of equal marginal distributions against contiguous alternatives. Finally, we exhibit an interesting property of the proposed stochastic process: local alternatives of dependence can also be detected.
关键词：Asymptotically optimal test; contiguous alternatives; dependence alternatives; empirical process; goodness of fit; Kolmogorov–Smirnov statistics; unordered pairs