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Compute $E(g)$, where $g=2-|f|$ if $|f|lephi$ and $g=0$ otherwise, and $phi$ is uniformly distributed over...
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$$Eleft[begin{cases} 2-|f|,& |f|lephi\\ 0,& text{else} end{cases}right]$$ where $phi$ is uniform distribution over $[0,1]$
I find it difficult to calculate it using the integral. it's hard for me to understand the format of the integral because we are summing on $phi$ when it's connected to range of the function.
probability-theory expected-value
edited Jan 9 at 17:17
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247k23223460
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
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$$Eleft[begin{cases} 2-|f|,& |f|lephi\\ 0,& text{else} end{cases}right]$$ where $phi$ is uniform distribution over $[0,1]$
I find it difficult to calculate it using the integral. it's hard for me to understand the format of the integral because we are summing on $phi$ when it's connected to range of the function.
probability-theory expected-value
edited Jan 9 at 17:17
Did
247k23223460
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
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Let us continue this discussion in chat.
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– Mr.OY
Jan 10 at 16:20
add a comment |
$begingroup$
$$Eleft[begin{cases} 2-|f|,& |f|lephi\\ 0,& text{else} end{cases}right]$$ where $phi$ is uniform distribution over $[0,1]$
I find it difficult to calculate it using the integral. it's hard for me to understand the format of the integral because we are summing on $phi$ when it's connected to range of the function.
probability-theory expected-value
edited Jan 9 at 17:17
Did
247k23223460
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
$endgroup$
$$Eleft[begin{cases} 2-|f|,& |f|lephi\\ 0,& text{else} end{cases}right]$$ where $phi$ is uniform distribution over $[0,1]$
I find it difficult to calculate it using the integral. it's hard for me to understand the format of the integral because we are summing on $phi$ when it's connected to range of the function.
probability-theory expected-value
probability-theory expected-value
edited Jan 9 at 17:17
Did
247k23223460
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
edited Jan 9 at 17:17
Did
247k23223460
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
edited Jan 9 at 17:17
Did
247k23223460
edited Jan 9 at 17:17
Did
247k23223460
edited Jan 9 at 17:17
Did
247k23223460
247k23223460
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
asked Jan 9 at 17:02
Mr.OYMr.OY
16410
16410
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– Mr.OY
Jan 10 at 16:20
add a comment |
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– Mr.OY
Jan 10 at 16:20
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– Mr.OY
Jan 10 at 16:20
$begingroup$
Let us continue this discussion in chat.
$endgroup$
– Mr.OY
Jan 10 at 16:20
add a comment |
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