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Student's t inverse cumulative distribution function


X = tinv(P,V)


X = tinv(P,V) computes the inverse of Student's t cdf using the degrees of freedom in V for the corresponding probabilities in P. P and V can be vectors, matrices, or multidimensional arrays that are the same size. A scalar input is expanded to a constant array with the same dimensions as the other inputs. The values in P must lie on the interval [0 1].

The t inverse function in terms of the t cdf is


The result, x, is the solution of the cdf integral with parameter ν, where you supply the desired probability p.


What is the 99th percentile of the t distribution for one to six degrees of freedom?

percentile = tinv(0.99,1:6)
percentile =
  31.8205  6.9646  4.5407  3.7469  3.3649  3.1427

See Also

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