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Conditional Expectation of $X$ given $aX+Y$ where $a$ is constant

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#probability-theory #probability-distributions #conditional-expectation #uniform-distribution
354
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Conditional expectation of product of martingales

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#probability-theory #stochastic-processes #conditional-expectation #martingales
94
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What is wrong with below proof that E[XY|X] not equal to E[Y|X]

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#probability #conditional-expectation #conditional-probability #expected-value
1k
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Explain conditional expectations and taking out measurable random variables

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#statistics #measure-theory #conditional-expectation
150
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Expectation of Squared Condtitional expectation and the tower property

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#statistics #measure-theory #conditional-expectation
498
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Intuition behind the expectation of a conditional expectation

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#probability-theory #conditional-expectation #expected-value
101
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Expected number of heads when flipping until both heads and tails are encountered

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#probability #conditional-expectation
61
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Formalise a trick of computing expectations

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#probability #probability-theory #conditional-expectation #expected-value
48
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Naturality of Conditional Expectation

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#probability #probability-theory #category-theory #conditional-expectation #functors
288
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Conditional expectation of random sums

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#probability #conditional-expectation
61
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Is this proof for $\mathbb{E}(XY|X)=X\mathbb{E}(Y|X)$ correct and standard?

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#probability #conditional-expectation
63
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Expectation of quadratic term with 2 random variables

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#statistics #conditional-expectation #conditional-probability #expected-value
87
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Prove (or derive) $[X|X≤x]⩽x<[X|X>x]$

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#probability #conditional-expectation
28
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Comparing $ E(Y|X) $, $ E(Y|p(X)) $, $ E(Y|X, p(X)) $

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#random-variables #conditional-expectation #conditional-probability #expected-value
1.1k
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Conditional Expectation of E(2X+Y|X-Y=1)

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#probability #probability-theory #conditional-expectation #conditional-probability

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