Question: For a Student t random variable Y with n degrees of freedom and any positive integer k, show that E(Y 2k ) exists if 2k

For a Student t random variable Y with n degrees of freedom and any positive integer k, show that E(Y2k) exists if 2k

00 1 dy (1+y")

are finite if α > 0, β > 0, and αβ > 1.)

00 1 dy (1+y")

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