Question

Convergence of the random walk to the Brownian motion on $S^2$

score 273 · Answer 1 · 2026-03-30 01:47:53

273

Views

Convergence of the random walk to the Brownian motion on $S^2$

Published on 30 Mar 2026 - 1:47

score 451 · Answer 2 · 2026-03-31 10:14:45

451

Views

Log of a product of characteristic functions (Lindeberg's theorem and Accompanying Laws theorem)

Published on 31 Mar 2026 - 10:14

score 75 · Answer 3 · 2026-03-31 10:14:44

75

Views

Find the limiting distribution of $\frac{(2 \sum_{i=1}^n X_i - \theta)}{\sqrt{n}X_{(n)}}$

Published on 31 Mar 2026 - 10:14

score 25 · Answer 4 · 2020-08-25 13:27:16

25

Views

Using the CLT to find the minimum number of devices needed on the launch day

Published on 25 Aug 2020 - 13:27

score 68 · Answer 5 · 2020-08-27 09:36:21

68

Views

Reference for the size of n in Central Limit Theorem

Published on 27 Aug 2020 - 9:36

score 152 · Answer 6 · 2026-03-31 07:49:44

152

Views

Slutsky's theorem for central limit theorem

Published on 31 Mar 2026 - 7:49

score 295 · Answer 7 · 2020-08-30 00:10:28

295

Views

Applying CLT to random variable made up of two sequences of iid random variables

Published on 30 Aug 2020 - 0:10

score 275 · Answer 8 · 2026-03-31 12:21:31

275

Views

Central limit theorem for independent and weakly convergent random variables

Published on 31 Mar 2026 - 12:21

score 170 · Answer 9 · 2020-08-31 17:42:10

170

Views

Central Limit Theorem to evaluate $\frac{1}{(n-1)!} \int_0^n e^{-x}x^{n-1}dx$

Published on 31 Aug 2020 - 17:42

score 120 · Answer 10 · 2026-03-31 12:17:15

120

Views

Let $W^1, W^2, \ldots$ be i.i.d. Brownian motions, $T_1, T_2, \ldots$ be random variables converging a.s. to $t > 0$, do we have CLT for $W^n_{T_n}$?

Published on 31 Mar 2026 - 12:17

score 168 · Answer 11 · 2026-03-31 12:17:23

168

Views

Show that $\sum_{i=1}^n X_i / \sqrt{n} \Rightarrow W$ implies $EX_1^2 <\infty$ for an i.i.d. sequence $(X_i)$.

Published on 31 Mar 2026 - 12:17

score 48 · Answer 12 · 2026-03-31 12:21:34

48

Views

Clarification on application of Central Limit Theorem in Example from Rice

Published on 31 Mar 2026 - 12:21

score 417 · Answer 13 · 2020-09-05 16:54:11

417

Views

Distribution sum of product of normal distribution and bernoulli distribution:

Published on 05 Sep 2020 - 16:54

score 51 · Answer 14 · 2026-02-23 15:11:07

51

Views

How to prove that an exponent comes outside of the average of an exponential? (central limit theorem moment-generating function proof)

Published on 23 Feb 2026 - 15:11

score 211 · Answer 15 · 2026-03-30 13:21:37

211

Views

Central Limit Theorem and Strong Law of Large Numbers. Proof that converges in distribution to $N(0, e^2)$

Published on 30 Mar 2026 - 13:21

List Question

Convergence of the random walk to the Brownian motion on $S^2$

Log of a product of characteristic functions (Lindeberg's theorem and Accompanying Laws theorem)

Find the limiting distribution of $\frac{(2 \sum_{i=1}^n X_i - \theta)}{\sqrt{n}X_{(n)}}$

Using the CLT to find the minimum number of devices needed on the launch day

Reference for the size of n in Central Limit Theorem

Slutsky's theorem for central limit theorem

Applying CLT to random variable made up of two sequences of iid random variables

Central limit theorem for independent and weakly convergent random variables

Central Limit Theorem to evaluate $\frac{1}{(n-1)!} \int_0^n e^{-x}x^{n-1}dx$

Let $W^1, W^2, \ldots$ be i.i.d. Brownian motions, $T_1, T_2, \ldots$ be random variables converging a.s. to $t > 0$, do we have CLT for $W^n_{T_n}$?

Show that $\sum_{i=1}^n X_i / \sqrt{n} \Rightarrow W$ implies $EX_1^2 <\infty$ for an i.i.d. sequence $(X_i)$.

Clarification on application of Central Limit Theorem in Example from Rice

Distribution sum of product of normal distribution and bernoulli distribution:

How to prove that an exponent comes outside of the average of an exponential? (central limit theorem moment-generating function proof)

Central Limit Theorem and Strong Law of Large Numbers. Proof that converges in distribution to $N(0, e^2)$

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