Question

Convergence in distribution of $\frac{1}{n}max(X_n,Y_n)$, where $X_n\text{ }U(-n-5,4n-5)$, $Y_n\text{ }Poiss(10n)$

score 83 · Answer 1 · 2026-03-28 11:54:06

83

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Convergence in distribution of $\frac{1}{n}max(X_n,Y_n)$, where $X_n\text{ }U(-n-5,4n-5)$, $Y_n\text{ }Poiss(10n)$

Published on 28 Mar 2026 - 11:54

score 148 · Answer 2 · 2026-03-26 07:38:52

148

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Finding $P(X_1+X_2+X_3+X_4\ge3)$ for independent $X_i\sim U(0,1)$

Published on 26 Mar 2026 - 7:38

score 96 · Answer 3 · 2026-04-10 18:53:16

96

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Cumulative function of exponential bilateral function

Published on 10 Apr 2026 - 18:53

score 1.8k · Answer 4 · 2026-03-26 04:48:29

1.8k

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Characteristic function equal to $1$

Published on 26 Mar 2026 - 4:48

score 753 · Answer 5 · 2026-03-25 19:00:19

753

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Computing the joint moment generating function of two random variables

Published on 25 Mar 2026 - 19:00

score 414 · Answer 6 · 2026-03-26 04:50:59

414

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Proof by characteristic functions that $X+Y$ and $2X$ are identically distributed

Published on 26 Mar 2026 - 4:50

score 317 · Answer 7 · 2026-03-25 09:45:45

317

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Find the limiting probability...

Published on 25 Mar 2026 - 9:45

score 324 · Answer 8 · 2026-03-27 03:44:11

324

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Conditional mean and variance of $X$ given that $Y=6$ for $X$ normal $N(0,1)$ and $Y$ conditionally on $X=x$ normal $N(x,1)$

Published on 27 Mar 2026 - 3:44

score 1.6k · Answer 9 · 2026-03-24 23:46:08

1.6k

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Prove that almost surely $\lim\sup_{n\to\infty}\frac{X_n}{\ln n}=\frac{1}{\lambda}$

Published on 24 Mar 2026 - 23:46

score 138 · Answer 10 · 2026-03-25 23:42:33

138

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Find the distribution of $\int _ 0^t W(s)\cos (t-s) ds$ where $W$ is a Brownian motion.

Published on 25 Mar 2026 - 23:42

score 35 · Answer 11 · 2026-04-09 15:01:57

35

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Intuitive Explanation Relationship between Random Variable, Density function and Distribution

Published on 09 Apr 2026 - 15:01

score 1.5k · Answer 12 · 2026-03-26 02:57:50

1.5k

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Let $T$ be exponential with parameter $λ.$ Let $X$ be discrete defined by $X=k,$ if $k≤T<k+1,$ $k=0,1,2,\dots$. Find the pdf of $X.$

Published on 26 Mar 2026 - 2:57

score 117 · Answer 13 · 2026-04-11 02:47:09

117

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An independent collection, where the pairwise products are also independent

Published on 11 Apr 2026 - 2:47

score 720 · Answer 14 · 2026-03-26 04:29:35

720

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GLR Test for 2 samples from exponential distributions

Published on 26 Mar 2026 - 4:29

score 37 · Answer 15 · 2026-04-11 14:14:09

37

Views

How many containers contain at least one item?

Published on 11 Apr 2026 - 14:14

List Question

Convergence in distribution of $\frac{1}{n}max(X_n,Y_n)$, where $X_n\text{ }U(-n-5,4n-5)$, $Y_n\text{ }Poiss(10n)$

Finding $P(X_1+X_2+X_3+X_4\ge3)$ for independent $X_i\sim U(0,1)$

Cumulative function of exponential bilateral function

Characteristic function equal to $1$

Computing the joint moment generating function of two random variables

Proof by characteristic functions that $X+Y$ and $2X$ are identically distributed

Find the limiting probability...

Conditional mean and variance of $X$ given that $Y=6$ for $X$ normal $N(0,1)$ and $Y$ conditionally on $X=x$ normal $N(x,1)$

Prove that almost surely $\lim\sup_{n\to\infty}\frac{X_n}{\ln n}=\frac{1}{\lambda}$

Find the distribution of $\int _ 0^t W(s)\cos (t-s) ds$ where $W$ is a Brownian motion.

Intuitive Explanation Relationship between Random Variable, Density function and Distribution

Let $T$ be exponential with parameter $λ.$ Let $X$ be discrete defined by $X=k,$ if $k≤T<k+1,$ $k=0,1,2,\dots$. Find the pdf of $X.$

An independent collection, where the pairwise products are also independent

GLR Test for 2 samples from exponential distributions

How many containers contain at least one item?

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