Rank-Based Procedures for Some Multivariate Problems
Gao, Yonghong
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Permalink
https://hdl.handle.net/2142/87418
Description
Title
Rank-Based Procedures for Some Multivariate Problems
Author(s)
Gao, Yonghong
Issue Date
1999
Doctoral Committee Chair(s)
Marden, John I.
Department of Study
Statistics
Discipline
Statistics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Statistics
Language
eng
Abstract
The remainder of my thesis studies multivariate symmetry. Several well-studied parametric and nonparametric tests for univariate symmetry are extended to multivariate settings. We study the asymptotic distributions of these multivariate tests, and we propose a new criterion to compare their asymptotic relative efficiency. Monte Carlo simulation studies shed some light on the performance of these test statistics.
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