Student's T-Distribution

def. Student’s T Distribution.

$$t_{n-1}\sim \frac{{\sum }_{i=0}^n(\overline{X_n}-\mu {)}^2}{\hat{\sigma }/\sqrt{n}}$$

where:

• $X_i\sim \mathcal{N}(\mu ,{\sigma }^2)$
• $\hat{\sigma }$ is the Besset-corrected standard deviation estimator

Tip

It’s called a Student’s t because it was from a beer brewery company, and the company didn’t want the in-house statistician to publish it so he published it secretly. Introduction to the t Distribution (non-technical) - YouTube