The vitality of statistics lies in its application, which endows it with vitality. The research on heteroscedasticity time series, discrete multivariate statistical analysis, data mining theory, abnormal data diagnosis, nonparametric theory and method, sampling and non-sampling error theory will be the focus of statistical theory research. Knowledge economy and new economy put forward higher requirements for statistical theory and methods. How to adapt to the collection of statistical data in the era of e-commerce and the application of space remote sensing technology all pose new challenges to statistical theory. Statisticians must innovate statistical methods suitable for all kinds of complex data to meet the needs of practice. 2. Research on the theory and application of spatial statistics. Spatial statistics is a new field of statistical development in recent years, which mainly refers to the measurement of land resources and the observation of agriculture, forestry, marine life and environmental ecology by remote sensing technology. This kind of observation data is usually in the form of network, which is influenced by many factors such as atmospheric effect and observation tools. The application of spatial statistics is to study the error control, data processing, model building and statistical inference of this special data. This will be a new field of statistical research. Study the influence of the development of computer technology on the development of statistics. Research on the application of statistical methods in life science and biotechnology 2 1 century is the century of life science, and human beings are about to fully reveal the sequencing of human genes. /kloc-the establishment of gene theory in the middle of 0/9th century depends on statistical inference technology. In the 2 1 century, with the help of statistical methods and techniques, there will be a lot of research on life science, and scholars in this field will make great achievements. 2 1 The scientific and technological innovation in the medical field will solve many intractable diseases, and biopharmaceuticals will shine brilliantly in the medical field. It is an indisputable fact that statistical methods will be widely used in biopharmaceuticals. Pfizer invests $5 billion in research and development every year, which shows that American biostatisticists can easily find high-paying jobs, and this field has broad prospects. 4. Research on the application of national economic security in the field of finance and insurance. Preventing national economic security and its financial crisis is an issue that China must attach great importance to in its reform and opening up. The research of national economic security and financial crisis early warning system is a research hotspot closely related to statistical methods, and the risk management research of investment projects will also rely on statisticians to study and solve it. During the Ninth Five-Year Plan period, the actuarial theory and practice of insurance products made some progress, which laid the foundation for further development in this field. How to combine the actuarial theory of developed countries with the reality of China's insurance industry deserves in-depth study, especially the study of extending actuarial methods to the field of social security, which is an urgent task given by China's national conditions. 5. Further research on the quality of government statistical data. During the Ninth Five-Year Plan period, the quality of government statistics was widely concerned by the people of China. Not only the National Foundation for Philosophy and Social Sciences has set up key research topics, but almost all local governments have also set up special research and published nearly 100 papers. However, the research in this area needs to be deepened, not only to restrict and control the reliability of data from the system, but also to further explore the methods of detection and verification. Some key projects have made breakthroughs in testing methods, but how to closely integrate with the actual data of China government and how to implement these methods need more research and practice. 6. The application of statistics in the fields of society, population, education and environment. In the fields of social development, population control, adjustment and development of educational structure, environmental protection and so on, there are many problems that need to be studied urgently. Statistical method is a powerful tool for qualitative and quantitative research. Statistical methods will have broad application prospects in these fields.