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What's the correct version of this 'converse' of De Finetti's theorem? ("conditional" IID => exchangeable)

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#probability #random-variables #conditional-expectation
59
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If X and Y are two iid random variables, why $E[X|X+2Y] = E[Y|X + 2Y]$?

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#probability #conditional-expectation
183
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SDE of conditional expectation

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#stochastic-calculus #conditional-expectation
283
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Expected value of maximum of two D20 rolls

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#expected-value #conditional-expectation #uniform-distribution #geometric-distribution
62
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Expected value of the product of two dependent random variables

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#expected-value #conditional-expectation #binomial-distribution #point-processes
35
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Finding unconditional expectation using iterated expectation

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#probability #probability-theory #random-variables #expected-value #conditional-expectation
62
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Conditional independence of sigma-algebras: equivalent characterisations.

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#probability-theory #measure-theory #conditional-probability #conditional-expectation #independence
50
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Trace sigma algebra and conditioning

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#probability #probability-theory #measure-theory #conditional-probability #conditional-expectation
49
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Law of total conditional expectation question

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#probability #expected-value #conditional-expectation #dice
74
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Expectation of sum of N random variables equality

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#probability #proof-explanation #conditional-expectation
35
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Notions of measurability restricted to an event.

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#probability #probability-theory #measure-theory #conditional-probability #conditional-expectation
20
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Compound distributions when $N$ and $\xi_{i}$ are correlated

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#probability-distributions #expected-value #conditional-probability #conditional-expectation #poisson-distribution
39
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Conditional expectation on independent copy

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#probability-theory #expected-value #conditional-expectation
45
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Why can't I use linearity of conditional expectation?

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#probability #expected-value #conditional-expectation
83
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Why can't I use law of total expectation here?

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#probability #expected-value #conditional-probability #conditional-expectation

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