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Mathematical statistics is a subject that uses mathematical statistical analysis methods to solve practical problems. They are a branch of mathematical research. They can determine the basic law by observing things, which is the root of the phenomenon, and make predictions by using statistical data.
Mathematical statistics has become an important factor in the development of various disciplines. By choosing the appropriate statistical analysis method, we can deeply analyze the metadata generated by the experiment, extract patterns from it, and use them as the guidance of monitoring activities. Through data analysis, we can get detailed product information and strictly control many different links in the production process. We should apply mathematical statistics to reality.
Probability theory and mathematical statistics are important theoretical branches of stochastic mathematics, which have profound practical application background and are one of the important theories of mathematical modeling.
In view of the actual needs of colleges and universities in China for the cultivation of applied and innovative talents, taking the practical teaching of some knowledge points of this course as an example, the idea of mathematical model is introduced into the course, that is, the practical problems are combined with theoretical knowledge, so that students can understand the practical application of mathematical theory and deepen their understanding and memory of basic knowledge. Practice shows that the teaching effect is remarkable.
The origin and development of mathematical statistics;
Mathematical statistics is a branch of mathematics developed with the development of probability theory. It studies how to effectively collect, sort out and analyze the data affected by random factors, and make inferences or predictions about the problems considered, thus providing basis or suggestions for taking certain decisions and actions.
Mathematical statistics originated from demography, social surveys and other descriptive statistical activities.
In 2250 BC, Dayu controlled the water and divided the whole country into Kyushu according to the soil quality of mountains and rivers and the amount of manpower and material resources. In Yin and Zhou Dynasties, the well-field system was implemented, and land and household registration statistics were carried out. During the Spring and Autumn Period, the strength of princes was often discussed by the number of personnel carriers, which shows that there have been military investigations and comparisons. The statistics of national hukou and age in Han dynasty are well documented; There were yellow books and fish scale books in the early Ming Dynasty. The Yellow Book is a national household registration book, and the Fish Scale Book is a national land atlas with topographic maps, which has the nature of modern statistical charts.
It can be seen that all previous dynasties in China attached great importance to statistical work, but lacked systematic research and did not form special works.
In western countries, statistical work began in 3050 BC, when Egypt built pyramids, and in order to collect construction costs, the national population was surveyed and counted. In Aristotle's time, statistical work began to develop rationally. At this time, the application of statistics in health, insurance, domestic and foreign trade, military and administrative management was recorded in detail, and the word statistics gradually evolved from the word Italy.
The development of mathematical statistics can be roughly divided into three stages: classical period, modern period and modern period.