MediumProbabilitypr-080

Student t PDF Value

Problem

Student t probability density with nu degrees of freedom at x:

f(x) = Gamma((nu + 1) / 2) / (sqrt(nu * pi) * Gamma(nu / 2)) * (1 + x^2 / nu)^(-(nu + 1) / 2).

Return 0.0 for nu <= 0.

Hint

Use lgamma for the ratio of Gamma functions.

case 1

in: [1,0]

expected: 0.3183098861837906

case 2

in: [1,1]

expected: 0.1591549430918953

case 3

in: [2,0]

expected: 0.35355339059327373

case 4

in: [0,0]

expected: 0

Starter codePython

import math


def t_pdf_value(nu, x):
    # Your code here
    pass

4 test cases · run your code against them in the editor