Calculate the distribution of $(cos(min(X,Y)),max(X,Y))$
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Let $X,Y$ be iid distributed uniformly on $[0,1]$, my task involves calculating the distribution of $(cos(min(X,Y)),max(X,Y))$ I have already calculated the distribution of $(min(X,Y),max(X,Y))$, its density is $2text { for } y leq x$, where $y$ denotes $min$, $x$ denotes $max$.
I managed to do it myslef, later i will post my anwser.
probability probability-distributions conditional-expectation uniform-distribution conditional-probability
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
$endgroup$
add a comment |
$begingroup$
Let $X,Y$ be iid distributed uniformly on $[0,1]$, my task involves calculating the distribution of $(cos(min(X,Y)),max(X,Y))$ I have already calculated the distribution of $(min(X,Y),max(X,Y))$, its density is $2text { for } y leq x$, where $y$ denotes $min$, $x$ denotes $max$.
I managed to do it myslef, later i will post my anwser.
probability probability-distributions conditional-expectation uniform-distribution conditional-probability
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
$endgroup$
add a comment |
$begingroup$
Let $X,Y$ be iid distributed uniformly on $[0,1]$, my task involves calculating the distribution of $(cos(min(X,Y)),max(X,Y))$ I have already calculated the distribution of $(min(X,Y),max(X,Y))$, its density is $2text { for } y leq x$, where $y$ denotes $min$, $x$ denotes $max$.
I managed to do it myslef, later i will post my anwser.
probability probability-distributions conditional-expectation uniform-distribution conditional-probability
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
$endgroup$
Let $X,Y$ be iid distributed uniformly on $[0,1]$, my task involves calculating the distribution of $(cos(min(X,Y)),max(X,Y))$ I have already calculated the distribution of $(min(X,Y),max(X,Y))$, its density is $2text { for } y leq x$, where $y$ denotes $min$, $x$ denotes $max$.
I managed to do it myslef, later i will post my anwser.
probability probability-distributions conditional-expectation uniform-distribution conditional-probability
probability probability-distributions conditional-expectation uniform-distribution conditional-probability
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
edited Dec 19 '18 at 14:40
ryszard eggink
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
asked Dec 18 '18 at 19:44
ryszard egginkryszard eggink
420110
420110
add a comment |
add a comment |
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