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tinv

Student's t inverse cumulative distribution function

Syntax

x = tinv(p,nu)

Description

x = tinv(p,nu) returns the inverse of Student's t cdf using the degrees of freedom in nu for the corresponding probabilities in p. p and nu 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

x=F1(p|ν)={x:F(x|ν)=p}

where

p=F(x|ν)=xΓ(ν+12)Γ(ν2)1νπ1(1+t2ν)ν+12dt

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

Examples

collapse all

What is the 99th percentile of the Student's 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

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using MATLAB® Coder™.

Introduced before R2006a

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