Researches on Statistical Inference and Its Applications

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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.