Statistical Inference on cross sectionally contoured distributions

在本研究中，我们得到了一些关于截面轮廓分布理论和统计推断相关问题的重要结果。Takemura和Kamiya分别在《统计数学研究所学报》第47卷第1期（1999年）上发表了一篇调查论文（日语）。Takemura和他的合作者Satoshi Kuriki讨论了用管法和欧拉特征法获得高斯场极大值尾部概率的方法。这种方法论是当前研究的热点。Kamiya开发了一种基于密度函数的函数形式的不变概率模型的表征。其他一些结果包括Kamiya和Takemura的讨论文件：“由球形判别分析产生的排名”，讨论文件CIRJE-F-15，东京大学经济学院（1998年），将发表在日本统计学会杂志上。Takemura和合著者Kuriki在《统计通讯》上发表了一篇关于主成分分析的论文。

In this research we have obtained some important results concerning the theory of cross sectionally contoured distributions and related problems of statistical inference. Takemura and Kamiya have separately published a survey papers (in Japanese) in Proceedings of the Institute of Statistical Mathematics, Vol. 47, No. 1 (1999).Takemura with coauthor Satoshi Kuriki gives a survey on the tube method and the Euler characteristic method for obtaining the tail probability of the maximum of Gaussian field. This methodology is a topic of intense current research. Kamiya has developed a characterization of invariant probability models based on the functional form of the density function.Some other results include the discussion paper by Kamiya and Takemura :"Rankings generated by spherical discriminant analysis", Discussion Paper CIRJE-F-15, Faculty of Economics, Univ. of Tokyo (1998), which is going to appear in the Journal of the Japan Statistical Society.Takemura with coauthor Kuriki published a paper on principal component analysis in Communications in Statistics.