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Central Limit Theorem/Weak Convergence for a sequence of Dependent Identically Distributed Random Variables

score 421 · Answer 1 · 2017-01-10 04:42:30

421

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Central Limit Theorem/Weak Convergence for a sequence of Dependent Identically Distributed Random Variables

Published on 10 Jan 2017 - 4:42

score 2.8k · Answer 2 · 2026-03-27 16:22:00

2.8k

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score 796 · Answer 3 · 2017-01-11 00:00:09

796

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Martingale Central Limit Theorem for Triangular Array Martingale Difference Sequence

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score 319 · Answer 4 · 2017-01-11 05:42:20

How to show that $\frac1{\sqrt{\log n}}\left(\sum\limits_{i=1}^nI_i - \log n\right)$ converges to $N(0,1)$ for $I_i$ Bernoulli of parameter $\frac1i$?

score 163 · Answer 5 · 2026-03-29 09:11:47

163

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Local central limit theorem for sum of random variables (size of unrooted trees) with infinite variance

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score 135 · Answer 6 · 2017-01-12 21:12:21

135

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score 52 · Answer 7 · 2017-01-12 22:17:15

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score 1.2k · Answer 8 · 2017-01-13 16:51:23

1.2k

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score 145 · Answer 9 · 2017-01-21 08:34:43

145

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Remainder terms in the proof of central limit theorem

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score 151 · Answer 10 · 2026-03-28 13:20:42

151

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Find interval estimation of parameter $\lambda$ with Central limit theorem

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score 293 · Answer 11 · 2026-03-28 12:34:07

293

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score 888 · Answer 12 · 2026-03-25 20:35:07

888

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score 1k · Answer 13 · 2017-01-24 15:14:49

1k

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Showing proportion of volume of n-dimensional cube within distance ${n/3}^{1/2} + x$ converges as $n\to\infty$

Published on 24 Jan 2017 - 15:14

score 940 · Answer 14 · 2017-01-25 14:19:29

940

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Convergence in distribution to a limit with distribution function $F(x) = 1-\exp(-x^2/2)$ for $x>0$

Published on 25 Jan 2017 - 14:19

score 52 · Answer 15 · 2026-03-30 02:03:54

52

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Convergence in distribution for 2 sequences

Published on 30 Mar 2026 - 2:03

List Question

Central Limit Theorem/Weak Convergence for a sequence of Dependent Identically Distributed Random Variables

Rigorous, real analysis, proof of De Moivre–Laplace theorem

Martingale Central Limit Theorem for Triangular Array Martingale Difference Sequence

How to show that $\frac1{\sqrt{\log n}}\left(\sum\limits_{i=1}^nI_i - \log n\right)$ converges to $N(0,1)$ for $I_i$ Bernoulli of parameter $\frac1i$?

Local central limit theorem for sum of random variables (size of unrooted trees) with infinite variance

Binominal distribution to standard normal distribution

Central limit theorem basic application

Finding bounds of random variable with Central Limit Theorem

Remainder terms in the proof of central limit theorem

Find interval estimation of parameter $\lambda$ with Central limit theorem

Limiting Distribution with Finite 4th Moment

Approximate sum of gamma distributions using normal distribution

Showing proportion of volume of n-dimensional cube within distance ${n/3}^{1/2} + x$ converges as $n\to\infty$

Convergence in distribution to a limit with distribution function $F(x) = 1-\exp(-x^2/2)$ for $x>0$

Convergence in distribution for 2 sequences

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