Mathematical Sciences: Research in Multivariate Statistical Analysis

多元统计分析的研究将集中在 与随机和参数的特征结构有关的问题 矩阵 主成分、因子中的推理问题 分析，典型相关，多变量分析 方差和判别分析，涉及顺序 将检查嵌套假设的检验。 如何改进 将研究测试程序。 的另一个重点 研究是估计的特征结构与 注重开发最优、准确、可靠的 多变量方差分析中特征值的估计， 多元判别分析和典型相关 分析. 将标准估计值缩小到 将审查一些核心价值。另一个研究课题是 关注鲁棒性，并侧重于使用投影 判别分析领域的追踪技术。

Research in multivariate statistical analysis will focus on problems related to the eigenstructure of random and parameter matrices. Inference problems in principal components, factor analysis, canonical correlations, multivariate analysis of variance and discriminant analysis that involve sequential testing of nested hypotheses will be examined. Ways of improving the testing procedures will be studied. Another focus of research is the estimation of the eigenstructures with the emphasis on the development of optimal, accurate and reliable estimates of eigenvalues in multivariate analysis of variance, multiple discriminant analysis and canonical correlation analysis. The technique of shrinking standard estimates towards some central value will be examined. Another topic of research is concerned with robustness and focuses on the use of projection pursuit techniques in the area of discriminant analysis.