Probability theory and mathematical statistics: Probability theory and mathematical statistics are mathematical disciplines that study the statistical regularity of random phenomena.

Probability theory and mathematical statistics are a unique and active branch of mathematics. On the one hand, it has a unique research topic, its own unique concepts and methods, rich content and profound results; On the other hand, it is closely related to other disciplines and is an important part of modern mathematics.

Due to its rapid development and wide application in recent years, it has developed into an independent first-class discipline. The theories and methods of probability theory and mathematical statistics have been widely used in industry, agriculture, military and science and technology, such as prediction and filtering in space technology and automatic control, time series analysis in oil exploration and economic management, etc.

Due to the urgent need of the development of science and technology, probability theory developed rapidly in the 20th century. 1906, Russian mathematician Markov proposed a mathematical model called "Markov chain". 1934, Qin Xin, a mathematician of the former Soviet Union, put forward the theory of stationary process which is carried out uniformly in time.

Extended data

App application

1, sampling and acceptance of products, whether the newly developed drugs can be used in clinic, all need hypothesis testing;

2. Experimental design and data processing are needed to find the best production scheme;

3. The design of electronic system, the development and launch of rockets and satellites are inseparable from reliability estimation;

4. To deal with communication problems, you need to learn information theory.

5. Time series analysis method is very useful when discussing the variation law of sunspots;

6. The time-varying rate of chemical reaction should be described by Markov process.

Baidu Encyclopedia-Probability Theory and Mathematical Statistics