The random vector ((X, Y)) has the joint density [f_{X, Y}(x, y)=2 e^{-(x+y)} text { for }

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The random vector $(X, Y)$ has the joint density

\[f_{X, Y}(x, y)=2 e^{-(x+y)} \text { for } 0 \leq x \leq y<\infty\]

Determine the densities of $Z=\max (X, Y)$ and $Z=\min (X, Y)$.

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Applied Probability And Stochastic Processes

ISBN: 9780367658496

2nd Edition

Authors: Frank Beichelt

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Question Posted: Apr 26, 2024 04:01 PM

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The random vector ((X, Y)) has the joint density [f_{X, Y}(x, y)=2 e^{-(x+y)} text { for }

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Applied Probability And Stochastic Processes

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