Some Considerations on Mathematical Statistics for Dealing with Big Data from the Viewpoint of Educational Innovation

Abstract

Abstract. Mathematical statistics is an important branch of mathematics. It is also an important tool to other sciences, such as social science, management science, etc. With the development of information science and technology, on one hand, the appearance of softwares, such as SAS, SPSS, etc., the tasks of computation which related to statistical analysis can be carried out by softwares, on the other hand, the appearance of big data brings about new challenges for mathematical statistics. What should we learn or teach in the future? In this paper, from the viewpoint of educational innovation, and based on the understanding of big data, we consider the possible reformation on the related methods of mathematical statistics in the future. We intend to provide some suggestions on the methods of statistical analysis which will be furtherly improved or developed, especially the analysis methods for the data with a whole sample, and statistical inferences for figures, sounds and words.

Teaching of Mathematical Analysis or Calculus Based on the Thinking of Calculus

“…If you are engaged in CAD or 3D modelling, the methods in multivariate calculus are necessary and more useful. If you are engaged in information management, the characteristics of information flow can be illustrated by the curve area, and if you concern about the economic management and resource management, you are also inseparable from mathematical analysis [5]. And, if you want to be effective in financial analysis in the future, you'll have to learn stochastic analysis, which is the extension of the methods or thinking of calculus.…”