List questions from expectation

Published on 02 Apr 2026 - 18:04

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Expected value of coin flip sequence

Published on 21 Dec 2015 - 15:30

140

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Maximization of the Expectation of a function

Published on 28 Mar 2026 - 14:55

676

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Finite, irreducible Markov chains - Is the mean arrival time at $j$ always finite?

Published on 22 Dec 2015 - 13:11

90

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Expectation of random variable with domain $\mathbb{N} \cup \{ \infty \}$

Published on 22 Dec 2015 - 14:54

3.5k

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Why do martingales have same expectation?

Published on 06 Apr 2026 - 0:13

108

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Rewrite $p$-th moment

Published on 29 Mar 2026 - 14:17

84

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Monotone Convergence Theorem: Application for $p$-norms

Published on 23 Dec 2015 - 10:57

81

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Martingale: $L^p$-convergence implies $X_n = E[X \mid \mathcal{F}_n]$

Published on 06 Apr 2026 - 0:16

54

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Convergence in $L^p$: $E[X 1_A] = E[X_n 1_A]$

Published on 23 Dec 2015 - 12:33

4.9k

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Conditional Expectation: Orthogonal Projection in $L^2$

Published on 23 Dec 2015 - 15:59

156

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Fatou's Lemma: How to apply it for $E[|X|] \leq \liminf_n E[|X_n|]$

Published on 03 Apr 2026 - 1:56

1.2k

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Martingales: Expectation of almost-sure limit

Published on 06 Apr 2026 - 0:17

9.5k

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Mean of exponential Brownian motion

Published on 24 Dec 2015 - 12:51

5.1k

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Expected waiting time for next train

Published on 24 Dec 2015 - 15:07

List Question

Expectation defined as Riemann integral

Expected value of coin flip sequence

Maximization of the Expectation of a function

Finite, irreducible Markov chains - Is the mean arrival time at $j$ always finite?

Expectation of random variable with domain $\mathbb{N} \cup \{ \infty \}$

Why do martingales have same expectation?

Rewrite $p$-th moment

Monotone Convergence Theorem: Application for $p$-norms

Martingale: $L^p$-convergence implies $X_n = E[X \mid \mathcal{F}_n]$

Convergence in $L^p$: $E[X 1_A] = E[X_n 1_A]$

Conditional Expectation: Orthogonal Projection in $L^2$

Fatou's Lemma: How to apply it for $E[|X|] \leq \liminf_n E[|X_n|]$

Martingales: Expectation of almost-sure limit

Mean of exponential Brownian motion

Expected waiting time for next train

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