List questions from central-limit-theorem

Published on 08 Oct 2022 - 8:16

42

Views

Uniform convergence of the PDF in central limit theorem for time-integral of continuous stochastic processes

Published on 10 Oct 2022 - 12:15

22

Views

Two little problems about convergence in distribution

Published on 11 Oct 2022 - 8:54

300

Views

Finding sample size using Central Limit Theorem

Published on 18 Oct 2022 - 13:25

72

Views

Increments between stochastic variables with respect to the Wiener increment

Published on 21 Oct 2022 - 20:57

734

Views

Result analogous to the Central Limit Theorem if the third moment is also finite

Published on 31 Mar 2026 - 21:10

163

Views

Central limit of independent indicator functions

Published on 27 Mar 2026 - 16:55

25

Views

Finding an upper bound of the error of the CLT with respect to the sample size

Published on 07 Nov 2022 - 13:01

66

Views

Replacing $\sigma\sqrt{n}$ in CLT for IID $\{X_i\}$ with $(\sum_{i=1}^n X_i^2)^{1/2}$

Published on 02 Apr 2026 - 8:18

371

Views

Proof of central limit theorem without using MGF or characteristic function?

Published on 16 Nov 2022 - 18:12

145

Views

Durrett's proof of De Moivre-Laplace Theorem for odd integers

Published on 02 Apr 2026 - 8:17

69

Views

Limit of ratio between iid sums

Published on 02 Apr 2026 - 8:15

322

Views

Central Limit Theorem with Mixing

Published on 26 Mar 2026 - 16:10

190

Views

Proving a "Central Limit Theorem" for an iid sequence with infinite variance

Published on 01 Apr 2026 - 23:10

111

Views

Suppose $X$, $Y$ are i.i.d and $\dfrac{X+Y} {2^{1/\alpha} } \stackrel{\text{d}}{=} X$

Published on 29 Nov 2022 - 14:21

List Question

Convergence in distribution of $S_n/\sqrt{n} - S_{2n}/\sqrt{2n}$

Uniform convergence of the PDF in central limit theorem for time-integral of continuous stochastic processes

Two little problems about convergence in distribution

Finding sample size using Central Limit Theorem

Increments between stochastic variables with respect to the Wiener increment

Result analogous to the Central Limit Theorem if the third moment is also finite

Central limit of independent indicator functions

Finding an upper bound of the error of the CLT with respect to the sample size

Replacing $\sigma\sqrt{n}$ in CLT for IID $\{X_i\}$ with $(\sum_{i=1}^n X_i^2)^{1/2}$

Proof of central limit theorem without using MGF or characteristic function?

Durrett's proof of De Moivre-Laplace Theorem for odd integers

Limit of ratio between iid sums

Central Limit Theorem with Mixing

Proving a "Central Limit Theorem" for an iid sequence with infinite variance

Suppose $X$, $Y$ are i.i.d and $\dfrac{X+Y} {2^{1/\alpha} } \stackrel{\text{d}}{=} X$

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