Study on the theories and the applications of multivariate simultaneous statistical issues

本研究从理论统计和应用的角度对同步统计推断问题进行了研究，并相互交流，以发展新的分析方法。这些新的想法和发展发表在2004年和2005年联合统计会议和2005年和三个年度研讨会资助的赠款科学研究（B）：“多元统计建模和相关领域”，“多元同步建模和应用的功能数据分析”和“多元同步建模和功能数据分析。“多重比较是我们的主要议题之一，因此我们在两次联合统计会议中组织了特别会议，以促进这一领域的研究发展。我们邀请了多重比较领域的领军人物Benjamini教授，提出了Benjamini-Hochberg插入法，该方法目前已为世界所熟知， ...更多信息 统计学和应用统计学。在功能数据分析方面，我们获得了大量的老年人步行观察图像数据。行走是人类区别于其他动物的一种重要运动方式，衰老可能是由于缺乏平稳行走的能力。我们的目标是在手臂和腿的同时多变量运动。这些手臂和腿的运动被简化，并制定了功能数据分析的框架。在我们的分析中，衰老在慢速行走和快速行走的差异中表现得很明显，这些发现通过功能数据分析技术在统计上得到了证实。我们对高斯随机场进行了大量的模拟研究，以调整欧拉特征，以获得最大强度水平的p值，这对于从噪声fMRI图像数据中评估人脑激活区域非常重要。这些结果发表在2005年上海国际会议MCP。少

In this research we studied the issues of simultaneous statistical inference from the view point of theoretical statistics and applications and communicated with each other to develop the new methodologies for the analysis. These new ideas and developments are published in the 2004 and 2005 Joint Statistical Meeting and the 2005 and three annual symposium sponsored by Grant-in-Aid for Scientific Research (B) : "Multivariate statistical modeling and the related area," "Multivariate simultaneous modeling and applications of functional data analysis" and "On multivariate simultaneous modeling and functional data analysis."Multiple comparison is one of the our major topics, and so we organized the special session in the both Joint Statistical Meetings to promote the research development in this field. We invited the Professor Benjamini, who is the leader in the field of multiple comparison and proposed the Benjamini-Hochberg plug-in method, which is now world-wide well-know to both theoret … More ical and applied statisticians. We deeply discussed the FDR techniques and their related area.As for functional data analysis we obtained the huge image data observing the aged persons' walking. Walking is very important moving for human beings are distinguished from other animals and aging maybe come from deficiency of ability of smooth walking. Our aim is in the simultaneous multivariate movements of arms and legs. These movements of arms and legs are simplified and formulated by the framework of functional data analysis. In our analysis aging greatly appears in the differences of slow walks and rapid walks and these findings are assured statistically by functional data analysis techniques.Another interesting applied topic for simultaneous inference is the analysis for human brain images. We conducted the vast simulation studies on the Gaussian random fields for adjustments for Euler characteristic to derive the p-values of the maximum intensity levels, which are very important for evaluating the activating area of human brains form the noisy fMRI image data. These results were published in the international conference MCP 2005 held in Shanghai. Less