List questions from conditional-expectation

Published on 30 Mar 2026 - 20:42

323

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Conditional expectation and LOTUS to prove an identity for $\mathbb E[B(X)\mid X>k]$.

Published on 20 Dec 2019 - 15:59

44

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Am I computing this conditional expectation correctly?

Published on 20 Dec 2019 - 17:50

78

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Show that : $(X_n,\mathcal{F}_n)_{n \in \mathbb{N}} $ converge in $L^1$

Published on 30 Mar 2026 - 20:48

215

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Is $X$ measurable w.r.t $X+Y$? That is $X \in \sigma(X+Y)$?

Published on 28 Mar 2026 - 22:38

43

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Right-continuity of a completed filtration

Published on 23 Dec 2019 - 13:00

177

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Independence of a random variable by a $\sigma$-algebra

Published on 29 Mar 2026 - 2:34

172

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Is the regular conditional probability of $\mathbb P$ dominated by $\mathbb P$ almost surely?

Published on 23 Feb 2026 - 8:31

215

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Compute $E\left[ \|U\|^2 \mid U+V \in S , V\in S \right]$ is $U,V$ are standard normal, $S=\{ x \in \mathbb{R}^k: x_1 \le x_2 \le ... \le x_k \}$

Published on 26 Dec 2019 - 18:10

326

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Prove martingale $X$ times indicator function of $X$ is a martingale

Published on 30 Mar 2026 - 20:42

1k

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Is $f=g$ almost everywhere if their integrals over any subset are the same?

Published on 23 Feb 2026 - 11:50

54

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Determine conditional expectation of random vector

Published on 28 Dec 2019 - 20:52

170

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Linear birth death branching process - expectation equation

Published on 23 Mar 2026 - 22:43

492

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Independence from finite independence by Monotone Class Lemma

Published on 27 Mar 2026 - 23:31

59

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Filtration and martingale property in practice

Published on 28 Mar 2026 - 2:03

List Question

How to show these two random variables are orthogonal in $L^2$?

Conditional expectation and LOTUS to prove an identity for $\mathbb E[B(X)\mid X>k]$.

Am I computing this conditional expectation correctly?

Show that : $(X_n,\mathcal{F}_n)_{n \in \mathbb{N}} $ converge in $L^1$

Is $X$ measurable w.r.t $X+Y$? That is $X \in \sigma(X+Y)$?

Right-continuity of a completed filtration

Independence of a random variable by a $\sigma$-algebra

Is the regular conditional probability of $\mathbb P$ dominated by $\mathbb P$ almost surely?

Compute $E\left[ \|U\|^2 \mid U+V \in S , V\in S \right]$ is $U,V$ are standard normal, $S=\{ x \in \mathbb{R}^k: x_1 \le x_2 \le ... \le x_k \}$

Prove martingale $X$ times indicator function of $X$ is a martingale

Is $f=g$ almost everywhere if their integrals over any subset are the same?

Determine conditional expectation of random vector

Linear birth death branching process - expectation equation

Independence from finite independence by Monotone Class Lemma

Filtration and martingale property in practice

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