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What knowledge points should be mastered in learning statistics?
I am a sophomore in Xiamen University, studying for a double degree in statistics at WISE (Wang Yanan School of Economics, Xiamen University). I hope my answer can help you.

Rather than saying what knowledge points statistics need to learn, it is better to say which courses statistics mainly covers at the undergraduate level.

It must be noted that what is said here is statistics (economy) rather than statistics (mathematics). The former is more closely related to economy and finance, and placed in the School of Economics, while the latter is more academic and placed in the School of Mathematics.

Our double-degree courses in statistics mainly include business communication and cultural exchange, economic principles, probability theory, mathematical statistics, financial economics/asset pricing, stochastic process, calculation data analysis-using statistical software, time series analysis, microeconomics and its application, regression analysis, insurance and actuarial science, applied financial measurement, multivariate statistical analysis, data mining, financial derivative analysis, attribute data analysis, financial risk management, mathematical finance and so on.

In chronological order, some of the above subjects are optional and some are compulsory. It can be seen that because it is an economics college, many elective courses in it have a great relationship with the economy. In fact, many economic disciplines just need to apply statistical knowledge.

The compulsory basic courses are probability theory and mathematical statistics. Probability theory and mathematical statistics are finished in four classes in other science and engineering disciplines, and statistical children have four classes in two semesters. It mainly covers probability theory (various probability types and distributions), sampling distribution, parameter estimation, hypothesis testing and so on.

I hope my answer can help you.