Law Of Large Numbers, Central Limit Theorem, Normal Distribution, Random Variable, Jacob Bernoulli.
asymptotically equals. In (d), the ‘d’ over the arrow means converges in distribution. Notice how the CLT assumes nothing about the probability distributions of X_1, X_2, …, X_n. They don’t need to be normally distributed and that little fact greatly expands the applicability of the CLT. X_1, X_2,