Look at variables and random variables, who is better? From variable to random variable, from quantitative change to qualitative change! From epistemology-the largest methodology in the world today!
The palace of science in the western world is magnificent, with encyclopedia first, king of kings and statistics first; Statistics dominates all sciences, the largest epistemology and methodology in the world today; It is the pillar of western scientific and technological civilization for nearly 400 years.
In recent 70 years, due to the rapid development of mathematical statistics, there is a huge momentum of "swallowing up" social statistics, especially in developed countries represented by the United States, which almost think that statistics is mathematical statistics and is called scientific statistics. In fact, this is a big misunderstanding. It's just yelling, the wrong theory of statistics.
The development history of statistics shows that there are social statistics before mathematical statistics and variables before random variables; Social statistics is based on variables, while mathematical statistics is based on random variables. Variable and random variable are mathematical concepts that can be transformed into each other under certain conditions.
We know that variables and random variables are both related and different. When the probability of the variable value is not 1, the variable becomes a random variable; A random variable becomes a variable when its probability is 1. The relationship and difference between variables and random variables are expounded. In the future, social statistics should be used boldly when describing variables, and mathematical statistics should be used when describing random variables. If we have to use mathematical statistics when describing variables, it is a thankless job to kill chickens with a butcher's knife. By analyzing the relationship and difference between variables and random variables, we can accurately define the research scope of social statistics and mathematical statistics.
The research of random variables is generally more complicated than variables. Until today, the research of mathematical statistics is still at a low level and more complicated to use. In the long run, the study of random variables will eventually be transformed into the study of variables, which is the same as why we usually study complex problems into several single problems.
Theoretically speaking, social statistics should cover the operations of all mathematical disciplines except probability theory and mathematical statistics. Mathematically, random variables have been completely separated from more than 20 branches of variable mathematics. Actually, it is a special case of mathematical variables. Statistically speaking, most problems in statistics are variables or approximate variables, not random variables. Newtonian mechanics is still dominant today, not relativistic mechanics, because in most cases objects are far away from the speed of light. The theory of "the unity of social statistics and mathematical statistics" established the dominant position of social statistics school variables in statistics, and made the random variables of mathematical statistics schools in developed countries such as the United States go down the altar and become tributaries. Put 170 statistical error theories on the table for hundreds of years back on track.
Statistics is the largest epistemology and methodology in the world today, and all the frontier problems of science should be described by statistics. Statistics, the mainstay of 400 years of scientific and technological civilization in the West, has been carried away by China people. Nowadays, western statistics have lost its beauty, and the center of world statistics has shifted to China.
With the development of modern statistics, both social statistics and mathematical statistics can be analyzed qualitatively and quantitatively, and the difference between them is variable and random variable.