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目录
Models for Random Experiments
1.1 Games of Chance
1.2 Experiments with Infinitely Many Outcomes
1.3 Structure and Properties of Probability Spaces
1.4 Conditioning and Independence
1.5 Exercises
2 Models for Laws of Random Phenomena
2.1 Discrete Sample Spaces
2.2 The Sample Space R
2.3 The Sample Space Rd
2.4 The Sample Space of Closed Sets of Rd
2.5 Exercises
Models for Populations
3.1 Random Elements
3.2 Distributions of Random Elements
3.3 Some Descriptive Quantities of Random Variables/Integration
3.3.1 The concept of expectation of random variables
3.3.2 Properties of expectation
……
1.1 Games of Chance
1.2 Experiments with Infinitely Many Outcomes
1.3 Structure and Properties of Probability Spaces
1.4 Conditioning and Independence
1.5 Exercises
2 Models for Laws of Random Phenomena
2.1 Discrete Sample Spaces
2.2 The Sample Space R
2.3 The Sample Space Rd
2.4 The Sample Space of Closed Sets of Rd
2.5 Exercises
Models for Populations
3.1 Random Elements
3.2 Distributions of Random Elements
3.3 Some Descriptive Quantities of Random Variables/Integration
3.3.1 The concept of expectation of random variables
3.3.2 Properties of expectation
……
