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Conditional Expected Number of Balls Left in the Urn

score 104 · Answer 1 · 2026-04-29 12:41:03

104

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Conditional Expected Number of Balls Left in the Urn

Published on 29 Apr 2026 - 12:41

score 118 · Answer 2 · 2026-05-07 10:12:47

118

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Is there an intuitive way to see that $\mathbb{E}[X|Y]$ is the least squares estimator of $X$ given $Y$?

Published on 07 May 2026 - 10:12

score 93 · Answer 3 · 2026-04-29 12:16:31

93

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In the Poisson process $N,$ find $\operatorname E[2^{N(t)}e^{-\lambda t} \mid N(s) = k]$ and $\operatorname{Var}(N(t) \mid N(s) = k)$.

Published on 29 Apr 2026 - 12:16

score 1k · Answer 4 · 2026-04-23 16:34:37

1k

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Bounding tail conditional expectation of a random variable given variance

Published on 23 Apr 2026 - 16:34

score 77 · Answer 5 · 2026-03-25 06:21:40

77

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Clearing up a certain confusion about conditional expectation of the form $\mathbb{E}[h(X)g(Y)|Y = y]$

Published on 25 Mar 2026 - 6:21

score 163 · Answer 6 · 2026-05-04 04:08:40

163

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Conditional expectation poisson distribution

Published on 04 May 2026 - 4:08

score 95 · Answer 7 · 2026-04-29 12:41:17

95

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Expectation of a function defined as a conditional expectation

Published on 29 Apr 2026 - 12:41

score 624 · Answer 8 · 2026-04-29 12:24:36

624

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Almost sure convergence of posterior distribution to parameter

Published on 29 Apr 2026 - 12:24

score 113 · Answer 9 · 2026-05-05 18:10:34

113

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Bit of help gaining intuition about conditional expectation and variance

Published on 05 May 2026 - 18:10

score 722 · Answer 10 · 2026-05-07 12:41:15

722

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Difference between conditional expectation E(Y|X) and E(Y|X=x)

Published on 07 May 2026 - 12:41

score 337 · Answer 11 · 2026-04-29 12:41:03

337

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Monotone convergence theorem in the proof of the pythagorean theorem in conditional expectation

Published on 29 Apr 2026 - 12:41

score 924 · Answer 12 · 2026-04-29 12:41:09

924

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Use Brownian bridge to find the conditional distribution

Published on 29 Apr 2026 - 12:41

score 48 · Answer 13 · 2026-03-25 06:16:17

48

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Conditional expectation - example based on definition

Published on 25 Mar 2026 - 6:16

score 85 · Answer 14 · 2026-04-19 01:19:05

85

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How to interpret this bayesian inference formula

Published on 19 Apr 2026 - 1:19

score 1.1k · Answer 15 · 2026-04-29 12:40:49

1.1k

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Difficulty in understanding "Find $E[N]$ , where $N=\min\{n>0: X_n=X_0\}$"

Published on 29 Apr 2026 - 12:40

List Question

Conditional Expected Number of Balls Left in the Urn

Is there an intuitive way to see that $\mathbb{E}[X|Y]$ is the least squares estimator of $X$ given $Y$?

In the Poisson process $N,$ find $\operatorname E[2^{N(t)}e^{-\lambda t} \mid N(s) = k]$ and $\operatorname{Var}(N(t) \mid N(s) = k)$.

Bounding tail conditional expectation of a random variable given variance

Clearing up a certain confusion about conditional expectation of the form $\mathbb{E}[h(X)g(Y)|Y = y]$

Conditional expectation poisson distribution

Expectation of a function defined as a conditional expectation

Almost sure convergence of posterior distribution to parameter

Bit of help gaining intuition about conditional expectation and variance

Difference between conditional expectation E(Y|X) and E(Y|X=x)

Monotone convergence theorem in the proof of the pythagorean theorem in conditional expectation

Use Brownian bridge to find the conditional distribution

Conditional expectation - example based on definition

How to interpret this bayesian inference formula

Difficulty in understanding "Find $E[N]$ , where $N=\min\{n>0: X_n=X_0\}$"

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