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Let X Gamma (a, p), Y~ Gamma (a, 6), so 1 BAIT (41) + fx (x | a, p) = x>0 1 fr(y |
Let X Gamma (a, p), Y~ Gamma (a, 6), so 1 BAIT (41) + fx (x | a, p) = x>0 1 fr(y | a, B) = BT () 4-e%, y>0 (az) Assuming they are independent. Let U = XY, V = X+Y. (a) What is the joint pdf of (U, V)? (b) Are U and V independent? Why? (c) What are the marginal distributions of U and V?
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To find the joint pdf of U V we need to use the transformation method Let u XY and v X Y Then we can ...
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Calculus
Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon
9th edition
131429248, 978-0131429246
