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Simulation Methods in Econometrics: Theory and Applications in MATLAB


About the Book

About the Book

MATLAB Workshop

MATLAB Foundations

Asymptotic Foundations

Law of Large Numbers

Central Limit Theorem

Convergence Rates and Asymptotic Notation

Sampling Distributions and Estimator Properties

Estimator Sampling Distribution

Estimator Statistical Property: Unbiasedness

Estimator Statistical Property: Consistency

Estimator Statistical Property: Asymptotic Normality

Linear Regression: Key Assumptions and Estimation Problems

Omitted Variable Bias

Simultaneity Bias

Measurement Error Bias

Sample Selection Bias

Heteroskedasticity

Autocorrelation

Non-Normal Errors

High Multicollinearity

Inference

The Student's t Distribution: Theory

The Student's t Distribution: Simulating the Distribution

Understanding Hypothesis Testing

A Visual Approach to Hypothesis Testing

Confidence Interval Estimation

Monte Carlo Integration

Monte Carlo Integration: Theory

Identity Function Example

Logarithmic Function Example

Gaussian Function Example

Profit Function Example

Random Variate Generation

Inverse Transform Sampling: Theory

Inverse Transform Sampling: Empirical Application

Rejection Sampling: Theory

Rejection Sampling: Gaussian-Oscillatory Function

Quasi-Random Sampling: Theory

Quasi-Random Sampling: MATLAB Function File

Importance Sampling: Theory

Importance Sampling: Tail Probability Estimation

Importance Sampling: Security Pricing Application

Markov Chain Monte Carlo

Discrete and Continuous Stochastic Processes — Work in progress

Foundational Theory — Work in progress

Metropolis–Hastings Algorithm — Work in progress

Gibbs Sampler — Work in progress

Bayesian Linear Regression — Work in progress

Bayesian Mixed Logit Model — Work in progress

Simulation-Based Estimation and Inference

Maximum Simulated Likelihood: Theory

Maximum Simulated Likelihood: Empirical Application

Method of Simulated Moments: Theory — Work in progress

Method of Simulated Moments: Empirical Application — Work in progress

Indirect Inference: Theory

Indirect Inference: Application

Bootstrap Methods

Bootstrap: Foundational Theory

Standard Bootstrap: Theory - Work in progress

Standard Bootstrap: Application

Pairs Bootstrap: Theory - Work in progress

Pairs Bootstrap: Application

Block Bootstrap: Theory

Block Bootstrap: Application

Cluster Bootstrap: Theory - Work in progress

Cluster Bootstrap: Application

Wild Bootstrap: Theory - Work in progress

Wild Bootstrap: Application

Supporting Functions for Exercises

Ordinary Least Squares (OLS) Estimation Routine

Heteroskedasticity-Robust OLS Estimation Routine

Stochastic Representation of the Student's t-Distribution

PDF of the Student's t-Distribution

Notation

Mathematical notation and symbols used in this work can be found in the Notation Summary


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