The Student's t-distribution is a statistical model used to approximate the first-order moment of a population with a normal distribution when the sample size it is small and the standard deviation is unknown.

The Student's t distribution estimates the value of a small sample mean that is drawn from a population with a normal distribution, whose standard deviation is unknown.

Given a continuous variable L approximates a t distribution with g degrees of freedom, it is as follows:

L ~ t (g)

The random variable L follows a t distribution with "g" degrees of freedom.