The basic formula should be mastered

First of all, you must be able to calculate the classical probability, which can be solved with the knowledge of high school mathematics. If you are weak in solving classical probability, then you should systematically review the probability knowledge in high school mathematics and make every effort to solve each kind of probability problem. Although you may not get it, you should take precautions to prepare for the later review.

Random events and probability are the contents of the first chapter of probability statistics, and they are also the basis of the following contents. Basic concepts and relationships must be clearly distinguished. Conditional probability, total probability formula and Bayesian formula are the key points. In addition to the classical probability mentioned above, Bernoulli probability and geometric probability are also very important and need to be mastered.

The second chapter is about random variables and their distribution. First of all, we should understand the concepts and properties of random variables and their distribution functions. Common discrete random variables and their probability distributions: 0- 1 distribution, binomial distribution B(n, P(λ)；, geometric distribution, hypergeometric distribution and Poisson distribution p (λ); The concept of continuous random variable and its probability density: uniform distribution U(a, b), normal distribution N(μ, σ2), exponential distribution, etc. Its nature and characteristics should be clearly remembered and skillfully applied, and examination questions are often involved.

The third chapter is multidimensional random variables and their distribution, mainly two-dimensional. The examination contents stipulated in the syllabus include: probability distribution, marginal distribution and conditional distribution of two-dimensional discrete random variables, probability density, marginal probability density and conditional density of two-dimensional continuous random variables, independence and irrelevance of random variables, distribution of commonly used two-dimensional random variables and distribution of simple functions of two or more random variables.

The fourth part is the numerical characteristics of random variables, which is not difficult to master, mainly by memorizing some related formulas and numerical characteristics of common distributions. The law of large numbers and the central limit theorem mainly depend on memory, which can be easily solved by doing related exercises.

Grasp the key points of regular inspection

It is not difficult to examine this part of mathematical statistics. First of all, the basic concepts are clearly understood. You should be familiar with the concepts and properties of χ2 distribution, T distribution and F distribution, which are often involved in exam questions. Moment estimation and maximum likelihood estimation are important methods to test unbiased estimation. There are not many hypothetical exams, but as long as they are stipulated in the syllabus, they should not be ignored. The basic idea of significance test, the basic steps of hypothesis test, two possible errors in hypothesis test and the hypothesis test of mean and variance of single and two normal populations are the test sites.