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

For a Student t random variable T with n degrees of freedom and any positive integer k, show that E(T2k) exists if 2k

5. 1 (1+ya) dy

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

5. 1 (1+ya) dy

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