Wan Xue Wen Hai-Li Lan Bridge
The examination outline of 20 1 1 has been released, and the probability part of the outline of 1 1 is completely different from that of 10, so candidates can review according to the established plan when reviewing.
Probability and mathematical statistics are the lowest in the three courses in terms of the difficulty of the test paper itself, but the lowest in the three courses in terms of annual scores. Because of its many concepts and complicated formulas, especially the statistics part, many students will be scared when they are beginners, and some will choose to give up the learning probability. In fact, it is very unwise, because I conclude that the biggest feature of this course is that the questions are relatively simple and the problem-solving methods are relatively simple. For example, the big topic basically revolves around the distribution of random variable functions, the numerical characteristics of random variables, the moment estimation of parameters and the maximum likelihood estimation. This paper focuses on the analysis of the related problems in "120 kinds of common problems in mathematics examination of national postgraduate entrance examination", and gives unique and detailed answer steps. After studying hard, candidates will be able to pass easily. Many students find this course difficult at two points. One is the classical probability, where the calculation is accidentally wrong, or they don't know how to calculate it. In fact, you can rest assured that the postgraduate entrance examination will only take the simple calculation of classical probability, but not the complicated one, so this part can be passed quickly; The second part is mathematical statistics. This part of the formula is more complicated. Many people learn a lot here. Actually, don't worry. There are very few things you really need to remember.
Probability theory and mathematical statistics are eight chapters, and the first five chapters are probability theory, mathematics I and mathematics III. Mathematical statistics is the last three chapters, which requires testing mathematics I and mathematics III, but only mathematics I requires testing the selection criteria, confidence intervals and hypothesis testing of estimators. As the probability theory in the first five chapters, I will briefly introduce it.
The first chapter "Random Events and Probability" is the basis of the following chapters. Its main contents are the relationship and operation of events, classical probability and geometric probability, addition formula, subtraction formula, multiplication formula, total probability formula and Bayesian formula. In the first chapter, there are few separate propositions, and they are often investigated with random variables. In 2009 and 10, we investigated the problem in the form of classical probability combined with random variables.
The second chapter is about one-dimensional random variables and their distribution. The key content of this part is common distribution, which is the basis of learning two-dimensional random variables. In recent years, the number of topics for investigating one-dimensional random variables is relatively reduced, and more topics are related to investigating two-dimensional random variables.
The third chapter, two-dimensional random variables, is the focus of the exam. Its core content is the distribution of random variable function, the independence of random variable and the relationship between joint distribution, edge distribution and conditional distribution of random variable. In this paper, "20 1 1 National Unified Entrance Examination for Postgraduates", the problem-solving steps of common questions are elaborated in detail to help candidates deal with related problems accurately. The focus of joint distribution is even distribution, which is a question that is often raised. Therefore, as this chapter, there are relatively more comprehensive problems.
The fourth chapter is the numerical characteristics of random variables, which mainly involves some key concepts, such as mean variance. The key content is to discuss the relationship between the correlation and independence of random variables. This is also a key chapter. A required chapter every year.
The fifth chapter has 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.
This is the first five chapters of probability theory, and the key chapters are three or four.
There are three other chapters in mathematical statistics, namely, Chapter VI basic concepts, Chapter VII parameter estimation and Chapter VIII hypothesis testing. The emphasis is on chapter 7 parameter estimation. At present, the basic concepts of Chapter VI have been tested a lot. For example, in Chapter 7, there are three contents, namely, point estimation, interval estimation and estimation criteria. There are two widely tested point estimation methods, namely moment method and maximum likelihood method. The selection criteria, confidence interval and hypothesis test of the estimator are only required by the number 1 The unbiasedness of the first choice criterion of estimator is the key point of examination, which is often put forward in combination with numerical characteristics, and students of mathematics one should pay attention to it. The test frequency of confidence interval and hypothesis test is very low, especially hypothesis test. 1998 only took one question in mathematics, and then I didn't take it. The so-called Chapter VIII is not the point.
Candidates should review comprehensively and highlight key points. The whole probability theory can be said in one sentence, and there is no skill in it. As long as you master the basic concepts and methods, you can definitely answer this subtitle well. However, the scores of probability theory and mathematical statistics reflected by students at present are relatively low. This is because probability theory and mathematical statistics are not equal to calculus and linear algebra, and they are uncertain mathematics. So when reviewing, we must review the basic concepts and master the most basic related methods.
I am playing Sohu Weibo. Come and "follow" me and learn about my latest developments.