1. A probability distribution that approaches a normal (Gaussian) distribution as a sample size or parameter increases to infinity, used in statistical inference and limit theorems.
The asymptotic normal distribution allows us to approximate the sampling distribution of the estimator for large samples.
A distribuição normal assintótica permite aproximar a distribuição amostral do estimador para amostras grandes.
2. In statistics, the limiting distribution of a standardized statistic that converges to a normal distribution under certain regularity conditions.
By the Central Limit Theorem, the sample mean has an asymptotic normal distribution.
Pelo Teorema do Limite Central, a média amostral possui uma distribuição normal assintótica.