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accepted Joint PDF of random variables
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comment Joint PDF of random variables
Thanks. I just wanted to express everything formally and didn't found the way by doing this. Also, how do you differentiate with respecto to $z$ without working out the integrals?
Jan
18
comment Joint PDF of random variables
Thanks for your answer. However, I am wondering what steps you have followed in order to get those results. For example, "Just write $F_Z(z)=\mathrm P\{X+Y\leq z\}=\int_{-\infty}^\infty \int_{-\infty}^{z-y}...$" is not clear to me. Also, for the CDF in 2nd part, I have $F_{Z,W}(z,w) = P(X+Y\leq z, \min\{X,Y\}\leq w)$, but what else?. The support is $(0,2)\times(0,1)$.
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18
revised Joint PDF of random variables
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accepted Distribution function of random variable
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revised Distribution function of random variable
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asked Distribution function of random variable
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revised Help understanding $\exists x \exists y (x\neq y \wedge \forall z ((z=y)\vee (z=x)))$
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suggested suggested edit on Help understanding $\exists x \exists y (x\neq y \wedge \forall z ((z=y)\vee (z=x)))$
Mar
9
comment If $f'(t) = g'(t)$ then $f(t) = g(t) + k$ for all $t\in\mathbb R$
Then we take $k = 0$ for every case?