### Function Reference: `tpdf`

statistics: p = tpdf (x, df)

Student’s T probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the Student’s T distribution with df degrees of freedom. The size of y is the common size of x and df. A scalar input functions as a constant matrix of the same size as the other input.

Further information about the Student’s T distribution can be found at https://en.wikipedia.org/wiki/Student%27s_t-distribution

See also: tcdf, tpdf, trnd, tstat

Source Code: tpdf

### Example: 1

     ## Plot various PDFs from the Student's T distribution
     x = -5:0.01:5;
     y1 = tpdf (x, 1);
     y2 = tpdf (x, 2);
     y3 = tpdf (x, 5);
     y4 = tpdf (x, Inf);
     plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", x, y4, "-m")
     grid on
     xlim ([-5, 5])
     ylim ([0, 0.41])
     legend ({"df = 1", "df = 2", ...
              "df = 5", 'df = \infty'}, "location", "northeast")
     title ("Student's T PDF")
     xlabel ("values in x")
     ylabel ("density")