Question

Under what assumptions $Y_n \xrightarrow{L^1} 0$ as $n \to \infty\ $?

score 43 · Answer 1 · 2026-04-14 01:24:50

43

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Under what assumptions $Y_n \xrightarrow{L^1} 0$ as $n \to \infty\ $?

Published on 14 Apr 2026 - 1:24

score 51 · Answer 2 · 2026-04-15 00:06:53

51

Views

Let's $X \sim Exp(2)$ be a random variable. Compute $\lim_{n\to\infty} \frac{1}{E(X^{n})} $

Published on 15 Apr 2026 - 0:06

score 73 · Answer 3 · 2026-04-14 14:29:20

73

Views

Expected number of days which are birthdays for k people - confused by linearity intuition

Published on 14 Apr 2026 - 14:29

score 3.9k · Answer 4 · 2026-03-25 01:28:04

3.9k

Views

A disc contains $n$ random points. Each point is connected to its nearest neighbor. What does the average cluster size approach as $n\to\infty$?

Published on 25 Mar 2026 - 1:28

score 63 · Answer 5 · 2026-04-14 07:01:21

63

Views

Coupon collector's problem extended

Published on 14 Apr 2026 - 7:01

score 625 · Answer 6 · 2026-04-16 13:39:13

625

Views

$X$ is random variable for which it is valid $E(X^{2})=E(X^{3})=E(X^{4})<\infty$. Prove that X is discrete random variable with values in {0,1}

Published on 16 Apr 2026 - 13:39

score 53 · Answer 7 · 2026-04-15 09:51:55

53

Views

How to find $a+b$ if i know probability function and $\mathsf E[X]$?

Published on 15 Apr 2026 - 9:51

score 62 · Answer 8 · 2026-04-11 07:54:45

62

Views

Optimal measure

Published on 11 Apr 2026 - 7:54

score 52 · Answer 9 · 2026-04-09 20:39:02

52

Views

Expected value of a Markov Chain, multiplied at different times.

Published on 09 Apr 2026 - 20:39

score 67 · Answer 10 · 2026-04-11 01:39:49

67

Views

Change of variables and the expected value

Published on 11 Apr 2026 - 1:39

score 114 · Answer 11 · 2026-04-11 11:07:59

114

Views

Finding fake coin. Probability.

Published on 11 Apr 2026 - 11:07

score 80 · Answer 12 · 2026-04-09 18:52:45

80

Views

A strategy for number-guessing game

Published on 09 Apr 2026 - 18:52

score 29 · Answer 13 · 2026-04-11 21:35:01

29

Views

expected number of visits until first return to 0

Published on 11 Apr 2026 - 21:35

score 59 · Answer 14 · 2026-04-11 02:16:54

59

Views

Upper bound for the expectation of a random variable times an indicator function

Published on 11 Apr 2026 - 2:16

score 72 · Answer 15 · 2026-04-15 05:00:39

72

Views

Does the inequality $E[X^3] \geq E[X]E[X^2]$ hold for non-negative random variable $X$?

Published on 15 Apr 2026 - 5:00

List Question

Under what assumptions $Y_n \xrightarrow{L^1} 0$ as $n \to \infty\ $?

Let's $X \sim Exp(2)$ be a random variable. Compute $\lim_{n\to\infty} \frac{1}{E(X^{n})} $

Expected number of days which are birthdays for k people - confused by linearity intuition

A disc contains $n$ random points. Each point is connected to its nearest neighbor. What does the average cluster size approach as $n\to\infty$?

Coupon collector's problem extended

$X$ is random variable for which it is valid $E(X^{2})=E(X^{3})=E(X^{4})<\infty$. Prove that X is discrete random variable with values in {0,1}

How to find $a+b$ if i know probability function and $\mathsf E[X]$?

Optimal measure

Expected value of a Markov Chain, multiplied at different times.

Change of variables and the expected value

Finding fake coin. Probability.

A strategy for number-guessing game

expected number of visits until first return to 0

Upper bound for the expectation of a random variable times an indicator function

Does the inequality $E[X^3] \geq E[X]E[X^2]$ hold for non-negative random variable $X$?

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