Chapter 65438 +0 Basic knowledge of probability theory
1. 1 random test, sample space, random events
1.2 frequency and probability
1.3 classical probability
1.4 geometric probability
Axiomatic definition of 1.5 probability
1.6 counting basis
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Exercise 1
Chapter II Conditional Probability and Independence of Events
2. 1 conditional probability
2.2 Total probability formula and Bayesian formula
2.3 independence of events
2.4 Bernoulli test probability and binomial probability
summary
Exercise 2
Chapter III Random Variables and Their Distribution
3. 1 random variable and its distribution function
3.2 Discrete random variables
3.3 Continuous random variables
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Exercise 3
Chapter 4 Two-dimensional Random Variables and Their Distribution
4. 1 two-dimensional random variable
4.2 Two-dimensional discrete random variables
4.3 Two-dimensional continuous random variables
4.4 Edge distribution
4.5 Independence of random variables
4.6 Conditional distribution
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Exercise 4
Chapter V Functions of Random Variables and Their Distribution
5. 1 Function and distribution of one-dimensional random variables
5.2 Functions and distributions of two-dimensional random variables
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Exercise 5
Chapter VI Numerical Characteristics of Random Variables
6. 1 Mathematical expectation
6.2 Variance and standard deviation
6.3 Covariance and correlation coefficient
6.4 Chebyshev Inequality and Law of Large Numbers
6.5 Central Limit Theorem
summary
Exercise 6
Chapter VII Statistical Basis
7. 1 research object of statistics
7.2 Population and sample
7.3 What is statistics?
7.4 Characteristics and statistical ideas of statistical methods
Chapter VIII Statistics and Sampling Distribution
8. 1 Statistics
8.2 Sampling distribution
summary
Exercise 8
Chapter 9 Parameter Estimation
Chapter 10 Hypothesis Test
Chapter II Discrete Mathematics
symbol table
Chapter 1 1 Mathematical Logic
Chapter 12 Collection
Chapter 13 relations and functions
Chapter 14 Algebraic System
Chapter 15 Graph Theory