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STATISTICS-PROBABILTY THEORY NOTES 26th Dec 2022

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Time analysis. Quantitative analysis consists of mathematical modelling of economic theory and empirical study of economic data. This is due to the cumulative sort of many generations of economists in their efforts to make economics a science, something like or close to physics, chemistry and bi...

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  • December 26, 2022
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Lecture Notes on

Probability and Statistics Theory
for Economists

Yongmiao Hong
Department of Economics &
Department of Statistical Science
Cornell University

Email: yh20@cornell.edu

January 2011

c 2011 Yongmiao Hong. All rights reserved.




1
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, Outline of Contents
Chapter 1 Introduction to Econometrics

Chapter 2 Foundation of Probability Theory
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 Independence of Events
2.8 Conclusion

Chapter 3 Random Variables and Univariate Probability Distributions
3.1 Random Variables and Distribution Functions
3.2 Discrete Random Variable
3.3 Continuous Random Variables
3.4 Functions of a Random Variable
3.5 Mathematical Expectations
3.6 Moment Generating Function
3.7 Characteristic Function

Chapter 4 Important Parametric Distributions
4.1 Introduction
4.2 Discrete Distributions
4.3 Continuous Probability Distributions

Chapter 5 Random Vectors and Multivariate Probability Distribution
5.1 Random vectors and Joint Probability Distributions
5.2 Marginal Distributions
5.3 Conditional Distributions
5.4 Independence
5.5 Empirical Applications
5.6 Bivariate Transformation
5.7 Expectations Under Multivariate Distributions


2
This study source was downloaded by 100000857259159 from CourseHero.com on 12-26-2022 13:18:07 GMT -06:00


https://www.coursehero.com/file/6680784/Chapter-1/

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