List questions from central-limit-theorem

Published on 27 Mar 2026 - 3:49

101

Views

Show that $\frac{S_n - \mathbb{E}S_n}{\sigma \sqrt{n}} \to \mathcal{N}(0,1)$ in distribution.

Published on 27 Mar 2026 - 3:43

40

Views

Central limit theorem; shooter hitting a target

Published on 06 Jul 2020 - 21:42

390

Views

Central limit theorem without independence

Published on 27 Mar 2026 - 7:11

471

Views

Convergence of $\frac{S_{n}}{\sqrt{n\log n}}$

Published on 09 Jul 2020 - 5:16

123

Views

We can't we examine the pointwise limit of the characteristic functions for the sample means to prove the central limit theorem?

Published on 09 Jul 2020 - 21:02

558

Views

Direct proof of central limit theorem for Bernoulli trials

Published on 27 Mar 2026 - 7:13

42

Views

which determines the order of convergence, mean or variance?

Published on 12 Jul 2020 - 9:22

568

Views

Central limit theorem for multi-dimensional martingale difference

Published on 27 Mar 2026 - 8:49

87

Views

Converse of a version of the central limit theorem

Published on 27 Mar 2026 - 5:39

862

Views

Central limit theorem and application to binomial distribution

Published on 27 Mar 2026 - 5:36

205

Views

Central limit theorem and the weak law of large numbers

Published on 28 Mar 2026 - 7:00

237

Views

Does Lindeberg's condition imply $s_n \to \infty$?

Published on 27 Mar 2026 - 7:13

155

Views

How many "types" of hypothesis tests are there?

Published on 28 Mar 2026 - 10:56

68

Views

Convergence in distribution to normal random random variable

Published on 25 Jul 2020 - 10:53

List Question

Combine two Taylor expansions (Lindeberg CLT)

Show that $\frac{S_n - \mathbb{E}S_n}{\sigma \sqrt{n}} \to \mathcal{N}(0,1)$ in distribution.

Central limit theorem; shooter hitting a target

Central limit theorem without independence

Convergence of $\frac{S_{n}}{\sqrt{n\log n}}$

We can't we examine the pointwise limit of the characteristic functions for the sample means to prove the central limit theorem?

Direct proof of central limit theorem for Bernoulli trials

which determines the order of convergence, mean or variance?

Central limit theorem for multi-dimensional martingale difference

Converse of a version of the central limit theorem

Central limit theorem and application to binomial distribution

Central limit theorem and the weak law of large numbers

Does Lindeberg's condition imply $s_n \to \infty$?

How many "types" of hypothesis tests are there?

Convergence in distribution to normal random random variable

Trending Questions

Popular # Hahtags

Popular Questions