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University of Illinois at Urbana-Champaign

Rank-Based Procedures for Some Multivariate Problems

Abstract

dc:description

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.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Statistics
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2015

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Gao, Yonghong
Contributors dc:contributor
  • Marden, John I.

Subjects

dc:subject × 1

Rights

Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
(MiAaPQ)AAI9953019
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/87418

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Gao, Yonghong. Rank-Based Procedures for Some Multivariate Problems. Dissertation thesis, University of Illinois at Urbana-Champaign, 2015. http://hdl.handle.net/2142/87418