Suppose that Y1 and Y2 are independent exponentially distributed ran.pdf
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The document discusses the joint density of two derived variables, u1 and u2, based on independent exponentially distributed random variables, y1 and y2, both with mean b. It presents the equation for their joint density function and questions whether u1 and u2 are independent. There's also a request for clarification on potential missing information in the problem.
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Suppose that Y1 and Y2 are independent exponentially distributed ran.pdf
- 1. Suppose that Y1 and Y2 are independent exponentially distributed random variables, both with mean B, and define U1=Y1+Y2 and U2=Y1/Y2 a, show that the joint density of (U1,U2 is FU1,U2 (U1,U2) = (1/bexp2) u1 e exp(-u1/b) 1/(1+u2)exp2, 0 smaller then u1, 0smaller then u2 o elsewhere b. are u1 and u2 independent? Solution i think there is something missing in the question. can u please coment on it whether if its true