1. Probability theory and mathematical statistics are divided into eight chapters, and the first five chapters are probability theory. Math I, Math III and Math IV must be tested in the postgraduate entrance examination. Mathematical statistics is the last three chapters, and only Math I and Math III have to be tested.
Second, as the elementary probability theory of the first five chapters, the first chapter is about random events and probability, and its key content is mainly the relationship and operation of events. Like the other two key points, it is probability formula and geometric probability type. The first chapter is not only a proposition, at least not a big one.
Chapter 3: Chapter 2 is about one-dimensional random variables and their distribution. The key content of this part is common distribution, which, like the first chapter, has many basic concepts. A single proposition and a single big question in life are less likely.
Chapter 4, Chapter 3: Two-dimensional random variables, focusing on the independence of random variables, and the relationship between joint distribution, marginal distribution and conditional distribution of random variables. The second chapter focuses on uniform distribution, which is often put forward in the postgraduate entrance examination. Therefore, as this chapter, there are relatively many comprehensive questions, which is the first key assessment chapter in the eight chapters.
The fifth and fourth chapters are the numerical characteristics of random variables, which mainly involve some key concepts, such as mean variance. The key content is to discuss the relationship between the correlation and stability of random variables. This is also a key chapter. A chapter to be taken in the postgraduate entrance examination every year.
Chapters 6 and 5 have three contents, namely Chebyshev inequality, law of large numbers and central limit theorem. This is not a key chapter, and there are few chances to take the exam, but at least these three concepts should be reviewed.
Seven, the key chapters are the third and fourth chapters.
Eight, the other three chapters of mathematical statistics, namely, chapter six basic concepts, chapter seven parameter estimation, and chapter eight hypothesis testing. The emphasis is on chapter 7 parameter estimation. At present, there are many basic concepts in Chapter 6, which may be related to quantiles. For example, in Chapter 7, there are three contents, namely, point estimation, interval estimation and the goodness of estimator. There are two widely tested point estimation methods, namely moment method and maximum likelihood method. Chapter 8 has fewer tests.
Nine, when reviewing for the postgraduate entrance examination, it is impossible to review the basic concepts and master the basic related methods. Don't try to find some skills and simple methods to solve the problem. Therefore, as a key chapter, 100% should be tested every year, like every Wednesday, Thursday and July. As one of mathematics, some people reflect whether mathematical statistics is not the focus. According to our statistics, it accounts for about 1/3 of the total score of probability statistics, so mathematical statistics is also very important to mathematics, and so is mathematics III.