Show that the MGF of Z 2 Rm is E exp t 0Z

Question:

Show that the MGF of Z 2 Rm is E

£

exp

¡

t 0Z

¢¤

Æ exp

¡ 1 2 t 0t

¢

for t 2 Rm.

Hint: Use Exercise 5.5 and the fact that the elements of Z are independent.

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