5.1 Random Vectors and Joint Probability Distributions 5.2 Marginal Distributions 5.3 Conditional Distributions 5.4 Independence 5.5 Bivariate Transformation 5.6 Bivariate Normal Distribution 5.7 Expectations and Covariance 5.8 Joint Moment Generating Function 5.9 Implications of Independence on Expectations 5.10 Conditional Expectations 5.11 Conclusion

10.1 Introduction 10.2 Empirical Studies and Statistical Inference 10.3 Important Features of Big Data 10.4 Big Data Analysis and Statistics 10.5 Machine Learning and Statistics 10.6 Conclusion

3.1 Random Variables 3.2 Cumulative Distribution Function 3.3 Discrete Random Variables(DRV) 3.4 Continuous Random Variables 3.5 Functions of a Random Variable 3.6 Mathematical Expectation 3.7 Moments 3.8 Quantiles 3.9 Moment Generating Function (MGF) 3.10 Characteristic Function 3.11 Conclusion

2.1 Random Experiments 2.2 Basic Concepts of Probability 2.3 Review of Set Theory 2.4 Fundamental Probability Laws 2.5 Methods of Counting 2.6 Conditional Probability 2.7 Bayes' Theorem 2.8 Independence 2.9 Conclusion

厦门大学：《概率论与数理统计 Probability and Statistics for Economists》课程教学资源（教学大纲，主讲：洪永淼）

4.1 Introduction to Asymptotic Theory 4.2 Framework and Assumptions 4.3 Consistency of OLS 4.4 Asymptotic Normality of OLS 4.5 Asymptotic Variance Estimation 4.6 Hypothesis Testing 4.7 Testing for Conditional Homoskedasticity 4.8 Conclusion

3.1 Framework and Assumptions 3.2 Ordinary Least Squares (OLS) Estimation 3.3 Goodness of Fit and Model Selection Criteria 3.4 Consistency and Efficiency of OLS 3.5 Sampling Distribution of OLS 3.6 Variance Estimation for OLS 3.7 Hypothesis Testing 3.8 Applications 3.9 Generalized Least Squares (GLS) Estimation 3.10 Conclusion

2.1 Conditional Probability Distribution 2.2 Conditional Mean and Regression Analysis 2.3 Linear Regression Modelling 2.4 Correct Model Specification for Conditional Mean 2.5 Conclusion

1.1 Introduction 1.2 Quantitative Features of Modern Economics 1.3 Mathematical Modeling 1.4 Empirical Validation 1.5 Illustrative Examples 1.6 Limitations of Econometric Analysis

1.1 General methodology of modern economic research 1.2 Roles of Econometrics 1.3 Illustrative Examples 1.4 Roles of Probability and Statistics