Question

Convergence of $\sqrt{n}(U_{n,1},U_{n,2})$ if each $U_n$ is uniform on the $n$-dimensional unit sphere (with hint)

score 386 · Answer 1 · 2017-06-11 20:40:49

386

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Convergence of $\sqrt{n}(U_{n,1},U_{n,2})$ if each $U_n$ is uniform on the $n$-dimensional unit sphere (with hint)

Published on 11 Jun 2017 - 20:40

score 783 · Answer 2 · 2026-03-30 12:18:56

783

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CLT for martingale difference array

Published on 30 Mar 2026 - 12:18

score 4.6k · Answer 3 · 2026-04-01 05:51:02

4.6k

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Central limit theorem for the variance

Published on 01 Apr 2026 - 5:51

score 366 · Answer 4 · 2026-03-31 08:12:05

366

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How to calculate the characteristic function of $\log S_1$ and $\log X_n$?

Published on 31 Mar 2026 - 8:12

score 689 · Answer 5 · 2017-06-18 20:37:07

689

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weak convergence/convergence in distribution of random variable $\sqrt{n}(\frac{\mu^2}{\bar{X}_n}-\bar{X_n})$

Published on 18 Jun 2017 - 20:37

score 221 · Answer 6 · 2026-03-26 01:12:12

221

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Convergence of $\sqrt{n}\left(\frac{S_n}{T_n}-\frac{\mu_X}{\mu_Y} \right)$ where $S_n=\sum\limits_{i=1}^nX_i$ and $T_n=\sum\limits_{i=1}^nY_i$

Published on 26 Mar 2026 - 1:12

score 471 · Answer 7 · 2017-06-23 14:18:08

471

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Binomial confidence intervals and the Central Limit Theorem

Published on 23 Jun 2017 - 14:18

score 1.1k · Answer 8 · 2026-02-23 06:34:35

1.1k

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Central Limit Theorem for Multinomial Distribution

Published on 23 Feb 2026 - 6:34

score 143 · Answer 9 · 2017-07-01 20:36:08

143

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Multivariate central limit theorem and coefficient of variation

Published on 01 Jul 2017 - 20:36

score 75 · Answer 10 · 2017-07-13 12:52:14

75

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Estimating value of sum of products using of two variables using Central Limit Theorem.

Published on 13 Jul 2017 - 12:52

score 99 · Answer 11 · 2017-07-18 01:10:34

99

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Central limit theorem

Published on 18 Jul 2017 - 1:10

score 919 · Answer 12 · 2017-07-18 01:53:30

919

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Central limit theorem -- Is it about sums, averages, or both?

Published on 18 Jul 2017 - 1:53

score 437 · Answer 13 · 2026-03-30 13:50:59

437

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Martingale difference CLT McLeish

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score 1.3k · Answer 14 · 2026-03-30 13:52:10

1.3k

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Proving the Multivariate Central Limit Theorem using Cramér–Wold Device

Published on 30 Mar 2026 - 13:52

score 149 · Answer 15 · 2017-07-23 02:09:53

149

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Does $(\bar X-\mu_X)/\hat{\theta}$ approach $N(0,1)$ in distribution for any unbiased estimator $\hat{\theta}^2$ of $\sigma_{X}^2/n$?

Published on 23 Jul 2017 - 2:09

List Question

Convergence of $\sqrt{n}(U_{n,1},U_{n,2})$ if each $U_n$ is uniform on the $n$-dimensional unit sphere (with hint)

CLT for martingale difference array

Central limit theorem for the variance

How to calculate the characteristic function of $\log S_1$ and $\log X_n$?

weak convergence/convergence in distribution of random variable $\sqrt{n}(\frac{\mu^2}{\bar{X}_n}-\bar{X_n})$

Convergence of $\sqrt{n}\left(\frac{S_n}{T_n}-\frac{\mu_X}{\mu_Y} \right)$ where $S_n=\sum\limits_{i=1}^nX_i$ and $T_n=\sum\limits_{i=1}^nY_i$

Binomial confidence intervals and the Central Limit Theorem

Central Limit Theorem for Multinomial Distribution

Multivariate central limit theorem and coefficient of variation

Estimating value of sum of products using of two variables using Central Limit Theorem.

Central limit theorem

Central limit theorem -- Is it about sums, averages, or both?

Martingale difference CLT McLeish

Proving the Multivariate Central Limit Theorem using Cramér–Wold Device

Does $(\bar X-\mu_X)/\hat{\theta}$ approach $N(0,1)$ in distribution for any unbiased estimator $\hat{\theta}^2$ of $\sigma_{X}^2/n$?

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