Statistical Inference on cross sectionally contoured distributions

点击翻译按钮获取中文摘要

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.