List questions from uniform-distribution

Published on 13 Dec 2014 - 23:22

190

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For i.i.d. $U(0,1)$ random variables $(X_i)$, $\max\limits_{1\le i \le n/2}\{(1-2i/n)X_i\}\to1$ in probability

Published on 16 Dec 2014 - 4:39

100

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Sufficient conditions for monotonicity with probability distributions

Published on 17 Dec 2014 - 14:10

259

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Number of uniform hash functions

Published on 25 Mar 2026 - 11:19

349

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Random variables and Linearity

Published on 21 Dec 2014 - 21:04

130

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What are some examples of isotrophic sets?

Published on 21 Dec 2014 - 21:12

102

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Universal hash function when size of hash is p^m

Published on 25 Mar 2026 - 11:22

1.6k

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Distribution of differences between adjacent sorted uniform random variables on $[0,1]$

Published on 27 Dec 2014 - 13:06

36

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Calculate $P(A_n)$, where $P$ uniform distribution on $[0,1]$

Published on 01 Jan 2015 - 21:24

107

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Universality of the uniform in the context of the Rayleigh distribution

Published on 02 Oct 2019 - 3:31

175

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The density function of the sum of n independent uniformly distributed random variable on $(-1,1)$ is supported on $[-n,n]$

Published on 02 Oct 2019 - 13:42

75

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conditional distribution of sum of order statistic

Published on 26 Mar 2026 - 14:25

58

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Distribution of $Y=X(1-X)$ when $X\sim U(0,L)$

Published on 03 Oct 2019 - 12:55

1.8k

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Expected number of regions with $n$ random lines in a circle

Published on 03 Oct 2019 - 16:20

104

Views

Prove that if $|x_n-y_n|<\frac{1}{n}$, then $ \lim\frac{\sum_{n=1}^{N} f(y_n)}{N}=\lim\frac{\sum_{n=1}^{N} f(x_n)}{N}$ if they exist.

Published on 04 Oct 2019 - 20:48

List Question

Biggest among three uniform random variables

For i.i.d. $U(0,1)$ random variables $(X_i)$, $\max\limits_{1\le i \le n/2}\{(1-2i/n)X_i\}\to1$ in probability

Sufficient conditions for monotonicity with probability distributions

Number of uniform hash functions

Random variables and Linearity

What are some examples of isotrophic sets?

Universal hash function when size of hash is p^m

Distribution of differences between adjacent sorted uniform random variables on $[0,1]$

Calculate $P(A_n)$, where $P$ uniform distribution on $[0,1]$

Universality of the uniform in the context of the Rayleigh distribution

The density function of the sum of n independent uniformly distributed random variable on $(-1,1)$ is supported on $[-n,n]$

conditional distribution of sum of order statistic

Distribution of $Y=X(1-X)$ when $X\sim U(0,L)$

Expected number of regions with $n$ random lines in a circle

Prove that if $|x_n-y_n|<\frac{1}{n}$, then $ \lim\frac{\sum_{n=1}^{N} f(y_n)}{N}=\lim\frac{\sum_{n=1}^{N} f(x_n)}{N}$ if they exist.

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