Question

How many Monte Carlo simulations must I run to get a $95\%$ confidence interval for some error E

score 208 · Answer 1 · 2026-02-26 15:17:18

208

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How many Monte Carlo simulations must I run to get a $95\%$ confidence interval for some error E

Published on 26 Feb 2026 - 15:17

score 31 · Answer 2 · 2022-11-22 12:22:46

31

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If $(u_i)$ is uniformly distributed, then $\frac1n\sum_{i=1}^nf(u_i)\xrightarrow{n\to\infty}\int_{[0,\:1)^d}f\:{\rm d}\lambda^{\otimes d}$

Published on 22 Nov 2022 - 12:22

score 38 · Answer 3 · 2022-11-22 15:50:01

38

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If $\frac1n\sum_{i=1}^n1_{[0,\:a)}(x_i)\to a$ for all $a$, can we conclude $\frac1n\sum_{i=1}^nf(x_i)\to\int_{[0,\:1)}f$

Published on 22 Nov 2022 - 15:50

score 26 · Answer 4 · 2022-11-22 18:19:47

26

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Monte Carlo Integration - Measurability of the function

Published on 22 Nov 2022 - 18:19

score 57 · Answer 5 · 2022-11-27 21:58:40

57

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Can we construct a sequence of random variables $(X_i)$ on a metric space with a given distribution such that $d(X_i,X_j)\ge\varepsilon$?

Published on 27 Nov 2022 - 21:58

score 189 · Answer 6 · 2026-03-28 16:44:48

189

Views

Randomized algorithm to estimate $\pi$

Published on 28 Mar 2026 - 16:44

score 171 · Answer 7 · 2022-12-01 22:24:55

171

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Numerical Integration for discontinuous functions

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score 52 · Answer 8 · 2022-12-02 15:53:15

52

Views

Does the integer-part of a continuous random variable still admit a density?

Published on 02 Dec 2022 - 15:53

score 18 · Answer 9 · 2022-12-03 18:59:56

18

Views

Volume of a sample in stratified sampling

Published on 03 Dec 2022 - 18:59

score 35 · Answer 10 · 2022-12-06 07:26:26

35

Views

What is the random variable with pdf proportional n-root of normal pdf

Published on 06 Dec 2022 - 7:26

score 194 · Answer 11 · 2022-12-12 00:00:15

194

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Use Monte Carlo algorithm to approximately compute E(X).

Published on 12 Dec 2022 - 0:00

score 30 · Answer 12 · 2022-12-23 15:34:18

30

Views

How to solve this airplane puzzle, where we must calculate the probability of the $n$'th passenger finding their seat.?

Published on 23 Dec 2022 - 15:34

score 63 · Answer 13 · 2026-03-25 18:15:08

63

Views

Theorems Supporting the Monte Carlo Method

Published on 25 Mar 2026 - 18:15

score 66 · Answer 14 · 2023-01-04 23:35:00

66

Views

What is the point density of a point sampling pattern in this context?

Published on 04 Jan 2023 - 23:35

score 42 · Answer 15 · 2023-01-14 05:03:28

42

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Under what assumption 0/0 =1 (Monte Carlo)

Published on 14 Jan 2023 - 5:03

List Question

How many Monte Carlo simulations must I run to get a $95\%$ confidence interval for some error E

If $(u_i)$ is uniformly distributed, then $\frac1n\sum_{i=1}^nf(u_i)\xrightarrow{n\to\infty}\int_{[0,\:1)^d}f\:{\rm d}\lambda^{\otimes d}$

If $\frac1n\sum_{i=1}^n1_{[0,\:a)}(x_i)\to a$ for all $a$, can we conclude $\frac1n\sum_{i=1}^nf(x_i)\to\int_{[0,\:1)}f$

Monte Carlo Integration - Measurability of the function

Can we construct a sequence of random variables $(X_i)$ on a metric space with a given distribution such that $d(X_i,X_j)\ge\varepsilon$?

Randomized algorithm to estimate $\pi$

Numerical Integration for discontinuous functions

Does the integer-part of a continuous random variable still admit a density?

Volume of a sample in stratified sampling

What is the random variable with pdf proportional n-root of normal pdf

Use Monte Carlo algorithm to approximately compute E(X).

How to solve this airplane puzzle, where we must calculate the probability of the $n$'th passenger finding their seat.?

Theorems Supporting the Monte Carlo Method

What is the point density of a point sampling pattern in this context?

Under what assumption 0/0 =1 (Monte Carlo)

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