New Development of Applied Statistical Decision Theory -Application of Multidimentional Large Deviation Theory

在这三年中，有了一些发展，这促使我们的研究进入了一些其他的方向，而不是最初计划的方向。一个是Shafer和Vovk的书《这只是一个概率论和金融的博弈论》的出版，我们对此很感兴趣，我们邀请了作者，并举办了研讨会和讨论会议。Takeuchi从他们的方法中推导出了一些新的理论，并准备了一系列关于这些理论的论文。另一个是发表了“统计前沿”系列（Iwanami），其中所有成员都对标题中的多维大偏差等主题的最新发展发表了观点论文。takeuchi和Akahira获得了一些理论和数值结果并写了一些注释，但应用于实际问题还有待研究。其他成员也进行了各自的专题研究，并举行了讨论会议。得到了一些新的结果。

During the three years' period, there has been developments, which induced new our studies into a few other directions than were initially planned.One was the publication of Shafer and Vovk's book "It's only a game-theory of probability and finance in which were much interested, and we invited the authors and had seminars and discussion sessions. And Takeuchi derived some new theory from their approach and is preparing a series of papers on them.Another was the publication of the series "Frontiers in Statistics"(Iwanami) to which all the members contributed perspective papers on the recent development so far the topic in the title-multidemensional large deviation etc.Takeuchi and Akahira obtained some theoretical and numerical results and wrote some notes, but application to practical problems is yet to be investigated.Other members also proceeded in their respective special studies, and had discussion meetings. Some new results have been obtained.