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Similarities and differences between mathematical statistics and social statistics.
2013-02-02 07:41:57).
Education Zone. Further Mathematics.
Campus culture. Statistical Epistemology.
Science. Find: the similarities and differences between mathematical statistics and social statistics.
2012-11-30 15:31Asked by: taowei ty |Views: 29. Satisfied.
The history of statistics shows that there are social statistics and then mathematical statistics, and there are variables and then random variables. Social statistics is based on variables, while mathematical statistics is based on random variables, and variables and random variables are mathematical concepts that can be converted into each other under certain conditions.
We know that variables are both related and distinct from random variables. When the probability of the value of the variable is not 1, the variable becomes a random variable; When the probability of a random variable is 1, the random variable becomes a variable. The connection and difference between variables and random variables have been clarified.
In the future, when describing variables, we boldly used social statistics, and when describing random variables, we used mathematical statistics. If you don't use mathematical statistics when describing variables, it is a thankless effort to kill chickens with a slaughtering knife. Through the connection and distinction between the categorical variables and the random variables, we can accurately define the respective research scopes of social statistics and mathematical statistics.
The study of random variables is generally much more complex than the study of variables, and until today, the study of mathematical statistics is still at a low level and is more complex to use. In the long run, the study of random variables will eventually be transformed into the study of variables, which is the same reason that we usually study complex problems into several single problems.
Theoretically speaking, social statistics should cover the operation of all mathematical disciplines except probability theory and mathematical statistics, from a mathematical point of view, random variables are faced with a huge number of more than 20 first-level branches of mathematical variables, and have been completely isolated in mathematics, in fact, it is a special case of mathematical variables. Statistically, most problems in statistics are questions of variables or approximate variables, not random variables. As far as Newtonian mechanics is still dominant in use today, it is not relativistic mechanics because objects are in most cases far from the speed of light.
Social statistics is the mainstream of statistics, while mathematical statistics is a tributary of statistics.
Modern statistics has developed. Both social statistics and mathematical statistics can be analyzed qualitatively and quantitatively, and the difference between the two is variables and random variables.
Ask. When the probability of the value of the variable is not 1, the variable becomes a random variable; When the probability of a random variable is 1, the random variable becomes a variable.
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