In this paper the bootstrap theories,which are based on the author’s former paper,ofM-typ eprincipal components and dispersion matrices and M-type PP tests for multivariate locationand scale are obtained.The bootstra...In this paper the bootstrap theories,which are based on the author’s former paper,ofM-typ eprincipal components and dispersion matrices and M-type PP tests for multivariate locationand scale are obtained.The bootstrap confidence sets for the principal components,dispersionmatrices and correlation matrices are also constructed.展开更多
For the following interval symmetric matricesG[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>=A<sup>T</sup>,b<sub>ij</sub>≤a<sub>ij</sub>≤c<sub>ij<...For the following interval symmetric matricesG[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>=A<sup>T</sup>,b<sub>ij</sub>≤a<sub>ij</sub>≤c<sub>ij</sub>},（1）B=(b<sub>ij</sub>)<sub>n×n</sub>=B<sup>T</sup>,C=(c<sub>ij</sub>)<sub>n×n</sub>=C<sup>T</sup>∈R<sup>n×n</sup>,Bialas has studied the necessary and sufficient condi-tion of asymptotic stabilty of G[B,C].According to refs[2-6],the following result,the asympotic stability of G[B,C],can be obtained if that of its subsetH[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>∈G[B,C],a<sub>ij</sub>=b<sub>ij</sub> or c<sub>ij</sub>}. （2）展开更多
基金The research was supported in part by NBF grants of China
文摘In this paper the bootstrap theories,which are based on the author’s former paper,ofM-typ eprincipal components and dispersion matrices and M-type PP tests for multivariate locationand scale are obtained.The bootstrap confidence sets for the principal components,dispersionmatrices and correlation matrices are also constructed.
文摘For the following interval symmetric matricesG[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>=A<sup>T</sup>,b<sub>ij</sub>≤a<sub>ij</sub>≤c<sub>ij</sub>},（1）B=(b<sub>ij</sub>)<sub>n×n</sub>=B<sup>T</sup>,C=(c<sub>ij</sub>)<sub>n×n</sub>=C<sup>T</sup>∈R<sup>n×n</sup>,Bialas has studied the necessary and sufficient condi-tion of asymptotic stabilty of G[B,C].According to refs[2-6],the following result,the asympotic stability of G[B,C],can be obtained if that of its subsetH[B,C]={A│A=(a<sub>ij</sub>)<sub>n×n</sub>∈G[B,C],a<sub>ij</sub>=b<sub>ij</sub> or c<sub>ij</sub>}. （2）
