Statistics Toolbox

tstat

Mean and variance for the Student's t distribution

Syntax

• [M,V] = tstat(NU)
  

Description

[M,V] = tstat(NU) returns the mean and variance for Student's t distribution with parameters specified by NU. M and V are the same size as NU.

The mean of the Student's t distribution with parameter is zero for values of  greater than 1. If is one, the mean does not exist. The variance for values of  greater than 2 is .

Examples

Find the mean and variance for 1 to 30 degrees of freedom.

• [m,v] = tstat(reshape(1:30,6,5))
  m =
     NaN     0     0     0     0
       0     0     0     0     0
       0     0     0     0     0
       0     0     0     0     0
       0     0     0     0     0
       0     0     0     0     0
  v =
         NaN    1.4000    1.1818    1.1176    1.0870
         NaN    1.3333    1.1667    1.1111    1.0833
      3.0000    1.2857    1.1538    1.1053    1.0800
      2.0000    1.2500    1.1429    1.1000    1.0769
      1.6667    1.2222    1.1333    1.0952    1.0741
      1.5000    1.2000    1.1250    1.0909    1.0714
  

Note that the variance does not exist for one and two degrees of freedom.

See Also

tcdf, tinv, tpdf, trnd

trnd

ttest