The parameters of the Student'stdistribution depend on the degrees of freedom.
The mean of the Student’stdistribution isμ= 0for degrees of freedomνgreater than 1. Ifνequals 1, then the mean is undefined.
The variance of the Student’stdistribution is
for degrees of freedomνgreater than 2. Ifνis less than or equal to 2, then the variance is undefined.
For more information, seeStudent's t Distribution.