Mean and Variance of the t-Distribution

The \(t\) distribution with df \(= \nu\) degrees of freedom has mean and variance of: \(\mu = 0 \quad (\nu > 1)\) \(\mathrm{Var}(X) = \frac{\nu}{\nu - 2} \quad (\nu > 2)\)

mt(df)

Arguments

df

degrees of freedom (\(> 0\), maybe non-integer). df = Inf is allowed.

Value

List with mean and variance

References

Casella, G. and Berger, R.L. (2002). Statistical Inference. Duxbury.

See also

dt

Examples

mt(df = 5)
#> $mean
#> [1] 0
#> 
#> $variance
#> [1] 1.67
#>