Rank-Based Procedures for Some Multivariate Problems

112 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1999.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.U of I OnlyRestricted to the U of I community idenfinitely during batch ingest of legacy ETD