Statistics is a comprehensive science that searches, organizes, analyzes, and describes data in order to infer the nature of the object being measured, and even to predict its future. It uses a great deal of specialized knowledge of mathematics and other disciplines, and its scope of use covers almost all areas of the social and natural sciences.
The significance of the theory of "unification of social statistics and mathematical statistics"
Professor Wang Weiding pointed out that: social statistics describes variables, mathematical statistics describes random variables, and variables and random variables are two different and related, and can be transformed into each other under certain conditions. mathematical concepts. This statement of Prof. Wang Jianding is a great discovery in mathematics.
We know that the concept of "variable" was first proposed by the famous mathematician Descartes in the 17th century, while the concept of "random variable" was first proposed by Soviet scholars after the 1930s, with a difference of three centuries between the two concepts. Up to Prof. Wang Weiding, there is no one in the world who has proposed the connection and difference between variables and random variables, as well as the transformation of each other. We know that the introduction of variables has created a series of function theory, equation theory, calculus and other major mathematical disciplines and development; while the introduction of random variables has laid the theoretical foundation of probability theory and mathematical statistics and other disciplines and promote their vigorous development. It can be seen that the concept of variables, random variables, the value of the proposal of how significant, so that the significance of the first time in the world to put forward Professor Wang Jianding variables, random variables, the connection between the difference between each other and the significance of the transformation of each other is called huge, it is not regarded as too much.
Next, we return to the theory of "unification of social statistics and mathematical statistics". Prof. Wang noted that social statistics describes the variables, mathematical statistics describes the random variables, so that Prof. Wang accurately defined the scope of social statistics and mathematical statistics of their respective studies, as well as under certain conditions can be transformed into each other's relationship, which is the biggest contribution to statistics. It puts an end to the nearly 400 years of dozens or even hundreds of more than assorted kinds of statistics mixed situation, so that they return to the right track.
Social statistics will not only not die out, but will continue to grow in size as variables continue to appear and continue forever. And of course mathematical statistics will grow as well because of the constant emergence of random variables. However, the study of random variables is generally more complex than the study of variables, and until now the study of mathematical statistics is still at a lower level, and the use of more complex; and then in the long run, the study of random variables will eventually be gradually transformed into the study of variables, which is the same as we usually study the study of complex problems into a number of simple problems. Since social statistics describes variables, and the scope of variable description is extremely broad, and is by no means what some scholars of mathematical statistics have claimed: social statistics only makes simple addition, subtraction, multiplication and division. Theoretically speaking, social statistics should cover the operation of most mathematical disciplines except mathematical statistics. Therefore, the theory of "unification of social statistics and mathematical statistics" put forward by Prof. Wang Jianding has fundamentally corrected the erroneous doctrine of underestimation of social statistics that has existed for a long time in the field of statistics, and has demonstrated the broad prospects of social statistics in terms of theory and application.