April 15, 2014 2 Comments
According to the central limit theorem, if
- random variables, , are independent and identically distributed,
- is sufficiently large,
then the distribution of their sample mean, , is approximately normal, and this approximation is better as increases.
One of the most remarkable aspects of the central limit theorem (CLT) is its validity for any parent distribution of . In my new Youtube channel, you will find a video tutorial that provides an intuitive explanation of why this is true by considering a thought experiment of rolling 2 dice. This video focuses on the intuition rather than the mathematics of the CLT. In a later video, I will discuss the technical details of the CLT and how it applies to this example.
You can also watch the video below the fold!