Statistics for Economics

  1. Probability Theory for Economic Analysis
    1. Fundamentals of Probability
      1. Basic Concepts
        1. Experiments and Outcomes
          1. Sample Spaces
            1. Events
            2. Probability Assignment
              1. Classical Approach
                1. Relative Frequency Approach
                  1. Subjective Approach
                  2. Rules of Probability
                    1. Addition Rule
                      1. Multiplication Rule
                        1. Complement Rule
                        2. Conditional Probability
                          1. Definition and Calculation
                            1. Independence of Events
                              1. Dependent Events
                              2. Bayes' Theorem
                                1. Statement and Proof
                                  1. Applications in Economics
                                    1. Prior and Posterior Probabilities
                                  2. Random Variables
                                    1. Definition and Classification
                                      1. Discrete Random Variables
                                        1. Characteristics
                                          1. Examples in Economics
                                          2. Continuous Random Variables
                                            1. Characteristics
                                              1. Examples in Economics
                                              2. Functions of Random Variables
                                              3. Probability Distributions
                                                1. Discrete Probability Distributions
                                                  1. Probability Mass Function
                                                    1. Properties and Requirements
                                                    2. Continuous Probability Distributions
                                                      1. Probability Density Function
                                                        1. Properties and Requirements
                                                        2. Cumulative Distribution Function
                                                          1. Definition for Discrete Variables
                                                            1. Definition for Continuous Variables
                                                              1. Properties and Applications
                                                            2. Expected Value and Variance
                                                              1. Expected Value
                                                                1. Definition for Discrete Variables
                                                                  1. Definition for Continuous Variables
                                                                    1. Properties of Expected Value
                                                                      1. Economic Interpretation
                                                                      2. Variance and Standard Deviation
                                                                        1. Definition and Calculation
                                                                          1. Properties of Variance
                                                                            1. Economic Applications
                                                                            2. Moments of a Distribution
                                                                              1. First Moment
                                                                                1. Second Moment
                                                                                  1. Higher Order Moments
                                                                                2. Important Probability Distributions
                                                                                  1. Discrete Distributions
                                                                                    1. Bernoulli Distribution
                                                                                      1. Binomial Distribution
                                                                                        1. Poisson Distribution
                                                                                          1. Geometric Distribution
                                                                                          2. Continuous Distributions
                                                                                            1. Uniform Distribution
                                                                                              1. Normal Distribution
                                                                                                1. Standard Normal Distribution
                                                                                                  1. Exponential Distribution
                                                                                                    1. Chi-Squared Distribution
                                                                                                      1. Student's t-Distribution
                                                                                                        1. F-Distribution
                                                                                                      2. Joint Probability Distributions
                                                                                                        1. Bivariate Distributions
                                                                                                          1. Joint Probability Mass Function
                                                                                                            1. Joint Probability Density Function
                                                                                                            2. Marginal Distributions
                                                                                                              1. Marginal PMF
                                                                                                                1. Marginal PDF
                                                                                                                2. Conditional Distributions
                                                                                                                  1. Conditional PMF
                                                                                                                    1. Conditional PDF
                                                                                                                    2. Independence of Random Variables
                                                                                                                      1. Covariance and Correlation
                                                                                                                        1. Population Covariance
                                                                                                                          1. Population Correlation Coefficient

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                                                                                                                      2. Descriptive Statistics for Economic Data

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                                                                                                                      4. Sampling Theory and Statistical Inference