List questions from probability-limit-theorems

Published on 21 Jun 2022 - 1:09

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The Alternating St Petersburg Game

Published on 29 Jun 2022 - 13:35

51

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An application of Birkhoff's ergodic theorem to Hidden Markov Models

Published on 03 Jul 2022 - 10:54

66

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How to prove this combinatorial statement with a probabilistic argument?

Published on 09 Jul 2022 - 0:25

100

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Does a (weak) uniform law of large numbers hold for (independent) triangular arrays?

Published on 31 Mar 2026 - 19:16

47

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Let $(\Omega,\mathcal{F},\mathbb{P})$ be a probability space. If $X$ and $Y$ are integrable r.v., then $X + Y$ is an integrable r.v.

Published on 18 Jul 2022 - 0:36

41

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Central Limit Theorem for number of cycles. Proof Lloyd and Shepp

Published on 28 Mar 2026 - 9:33

771

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Local limit theorem - Convergence in probability

Published on 01 Aug 2022 - 14:44

192

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Strong Law of Large Numbers for i.i.d. with undefined (not infinite) mean

Published on 31 Mar 2026 - 19:15

36

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Show that an empirical mean converges uniformly to its expectation

Published on 17 Aug 2022 - 15:51

52

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How do I evaluate the limit $\lim_{n \to +\infty}(1-(1-p/n)^{[nx]})=1-e^{-px}$?

Published on 20 Aug 2022 - 13:32

51

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Prove $(X_n)n≥1$, $X_n \sim Exp(n)$ converges in distribution to $0$

Published on 21 Aug 2022 - 7:09

44

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a.s convergence of $X_n=X^n$, where $X\sim U(0,1)$

Published on 21 Aug 2022 - 8:14

55

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Show that an empirical mean converges to zero

Published on 31 Aug 2022 - 18:03

83

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Limit of equation as $m \rightarrow \infty$

Published on 03 Sep 2022 - 21:58

List Question

Mann-Wald theorem for complete convergence

The Alternating St Petersburg Game

An application of Birkhoff's ergodic theorem to Hidden Markov Models

How to prove this combinatorial statement with a probabilistic argument?

Does a (weak) uniform law of large numbers hold for (independent) triangular arrays?

Let $(\Omega,\mathcal{F},\mathbb{P})$ be a probability space. If $X$ and $Y$ are integrable r.v., then $X + Y$ is an integrable r.v.

Central Limit Theorem for number of cycles. Proof Lloyd and Shepp

Local limit theorem - Convergence in probability

Strong Law of Large Numbers for i.i.d. with undefined (not infinite) mean

Show that an empirical mean converges uniformly to its expectation

How do I evaluate the limit $\lim_{n \to +\infty}(1-(1-p/n)^{[nx]})=1-e^{-px}$?

Prove $(X_n)n≥1$, $X_n \sim Exp(n)$ converges in distribution to $0$

a.s convergence of $X_n=X^n$, where $X\sim U(0,1)$

Show that an empirical mean converges to zero

Limit of equation as $m \rightarrow \infty$

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