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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

9.1 Introduction to Hypothesis Testing 9.2 Neyman-Pearson Lemma 9.3 Wald Test 9.4 Lagrangian Multiplier (LM) Test 9.5 Likelihood Ratio Test 9.6 Illustrative Examples 9.7 Conclusion

6.1 Population and Random Sample 6.2 Sampling Distribution of Sample Mean 6.3 Sampling Distribution of Sample Variance 6.4 Student’s t-Distribution 6.5 Snedecor's F Distribution 6.6 Sufficient Statistics 6.7 Conclusion

4.1 Introduction 4.2 Discrete Probability Distributions 4.3 Continuous Probability Distributions 4.4 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

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