 Asymptotic theory (statistics)

Asymptotic theory in statistics is a framework that involves the behavior of statistical estimators, tests, or other statistical procedures as the sample size approaches infinity. The primary goal of asymptotic theory is to understand how statistical methods perform in large samples, providing insights into their properties, efficiency, and consistency. Key concepts in asymptotic theory include: 1. **Consistency**: An estimator is consistent if it converges in probability to the true parameter value as the sample size increases.