Let Y 1 ​ ,Y 2 ​ ,Y 3 ​ ,Y 4 ​ be the order tatitic of a U(0,θ) random ample X 1 ​ ,X 2 ​ ,X 3 ​ ,X 4 ​. (a) Find the joint pdf of (V 1 ​ ,V 2 ​ ,V 3 ​ ) , where V 1 ​ = Y 2 ​ Y 1 ​ ​ ,V 2 ​ = Y 3 ​ Y 2 ​ ​ , and V 3 ​ = Y 4 ​ Y 3 ​ ​. (b) Find the marginal pdf of V 2 ​



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