What types of convergence isare applicable for the Central L

What type(s) of convergence is(are) applicable for the Central Limit Theorem (Theorem 5.5.14). Justify your answer. Attach any articles and/or a page for links/references that you use to develop your answer.

Solution

Central limit theorem deals with convergence in law or distribution.

In CLT it is stated that most of the distributions (satisfying few conditions) when averaged in long run converges in law to normal distribution.

This link may be helpful: https://en.wikipedia.org/wiki/Central_limit_theorem#Convergence_to_the_limit