Student's t is an important class of distributions that has a degrees-of-freedom (dof) parameter. For dof=1 you get the Cauchy distribution, and for large dof the t distribution approaches the normal. For dof > 2 the distribution has a finite variance. One can simulate from the t distribution with varying dof to see how quickly various statistics converge, if at all.
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Student's t is an important class of distributions that has a degrees-of-freedom (dof) parameter. For dof=1 you get the Cauchy distribution, and for large dof the t distribution approaches the normal. For dof > 2 the distribution has a finite variance. One can simulate from the t distribution with varying dof to see how quickly various statistics converge, if at all.