Asymptotic properties

Asymptotic properties describe how statistical methods or estimators behave as the amount of data increases indefinitely. Essentially, they tell us what happens to our estimates when we gather more and more information. For example, an estimator might become more accurate, stable, or consistent as sample size grows. These properties help statisticians understand the long-term reliability of methods, ensuring they perform well in large samples. In summary, asymptotic properties provide insight into the eventual behavior of statistical tools as data volume increases, guiding us in choosing methods that will yield dependable results over time.