文章基本信息

标题：Two-sample inference for sparse functional data
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作者：Qiyao Wang
期刊名称：Electronic Journal of Statistics
印刷版ISSN：1935-7524
出版年度：2021
卷号：15
期号：1
页码：1395-1423
DOI：10.1214/21-EJS1802
语种：English
出版社：Institute of Mathematical Statistics
摘要：In this paper, we develop an asymptotic χ2 test for detecting differences among mean functions when sparse and irregular observations are drawn from the underlying continuous stochastic processes for each subject. We provide theoretical arguments to justify the effectiveness of the proposed test procedure. Numerical experiments, including simulation studies and applications to a CD4 count data set and an eBay online auction data set, are presented to demonstrate the good performance of the developed test.
关键词：asymptotic distribution; longitudinal studies; shrinkage estimator; Sparse and irregular design