Some high-dimensional one-sample tests based on functions of interpoint distances

Article Type

Research Article

Publication Title

Journal of Multivariate Analysis

Abstract

The multivariate one-sample location problem is well studied in the literature, and several tests are available for it. But most of the existing one-sample tests perform poorly for high-dimensional data, and many of them are not even applicable when the dimension of the data exceeds the sample size. In this article, we develop and investigate some nonparametric one-sample tests based on functions of interpoint distances. These proposed tests can be conveniently used in high dimension, low sample size (HDLSS) situations, and good power properties of these tests for HDLSS data have been established using theoretical as well as numerical results.

First Page

83

Last Page

95

DOI

10.1016/j.jmva.2017.07.006

Publication Date

9-1-2017

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