Researches on Statistical Inference and Its Applications

近年来，统计推理及其应用得到了广泛的发展。本研究的目的是从小样本理论和大样本理论的角度探讨统计推断的各种问题，并得出有关推断的结果。特别地，我们选择了10个关于推理的重要主题，每个主题组成一个小组。由调查人员和其他人组成。我们还制定了召开专题会议的计划，并集体进行研究，为统计领域作出贡献。主题如下：(1)估计和检验假设的最优性；(2)时间序列分析理论及其应用；(3)信息量与统计推断；(4)实验设计的统计推断及其应用；(5)统计多元分析理论及其应用；(6)数学规划中的建模与分析；(7)统计图形学及其应用；(8)抽样与重抽样理论及其应用；(9)统计学的渐近理论及其应用；（10）检验统计假设及相关课题。每个议题的会议都有很多人参加，讨论也很活跃，提出了很多新的成果。这似乎很有意义。这些课题的研究结果作为研究报告完成。我们认为，这些结果在很大程度上有助于统计推理理论及其应用。他们的进一步发展是可以预料的。

Recently, the statistical inference and its applications have been extensively developed. The purpose of this research is to investigate various problems on the statistical inference from the viewpointsof small sample theory and large sample one and to obtain the results on the inference. In particular, we chose 10 important topics on the inference and made up a group per topic. which consists of the investigators and others. We also drew up a plan to hold meetings on the topics and proceeded with the study collectively to contribute to the field of statistics. The topics are the following : (1) Optimality in estimation and testing hypotheses (2) Theory of time'series anlysis and its applications, (3) Amount of information and statistical inference, (4) Statistical inference on experimental designs and its applications, (5) Theory of statistical multivariate analysis and its applications, (6) Modeling and analysis in mathematical programming, (7) Statistical graphics and its applications, (8) Theory of sampling and resampling and its applications, (9) Asymptotic theory of statistics and its applications, (10) Testing statistical hypothesis and related topics.The meeting on each topic was held with many attendants, and there many new results were presented with active discussions. It seemed to be very meaningful. The results on the topics were completed as a report of the study.We believe that these results largely contribute to the theory of statistical inference and its applications. Their further developments are expected.