Department of Fundamental Statistical Mathematics

We conduct research activities on the development and utilization of statistical models, and on the theory and applications of statistical inference and underlying optimization. We also aim to contribute to the development of statistical mathematical science by constructing its mathematical foundations, aiming at the fusion of these research fields and the pioneering of new research fields.　

A variety of statistical models have been proposed for diverse types of data. Especially in recent years, there is a growing need to extract detailed insights by taking advantage of the increasing size and complexity of data, and therefore, it is required to develop statistical models that are more flexible and more versatile, and to establish computational methods to use such models. This research group conducts research activities on the development and utilization of such statistical models.

In order to make rational decisions from data, it is important to make reasonable statistical inferences, such as estimation, testing, and model selection, based on appropriate statistical models. In addition, for statistical inference, the optimization of minimizing the loss associated with the inference is important. This research group conducts research activities on the theory and applications of such statistical inference and optimization.