List questions from probability-distributions

Published on 15 Apr 2026 - 12:15

251

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Weighted Chernoff Bound

Published on 11 Apr 2026 - 6:57

567

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distribution of digits in prime numbers

Published on 13 Apr 2026 - 1:49

91

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Distribution of integral of product of Gaussian distributions

Published on 14 Apr 2026 - 3:31

70

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Coin toss, probability for less than expected tails?

Published on 11 Apr 2026 - 19:38

39

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cumulative distribution of a sample from cumulative distribution

Published on 12 Apr 2026 - 6:27

53

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$E[S_4|N(2)=3]$ and $E[N(2)|S_4=2]$

Published on 16 Apr 2026 - 17:15

118

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Does the variance have linearity property??

Published on 10 Apr 2026 - 14:01

203

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A random variable N takes integer values 1,2,3,..., where P(N=n)=1/2^n . Find E(N)

Published on 13 Apr 2026 - 21:15

165

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Proof of the equivalence of the two definitions of heavy-tailed distributions

Published on 14 Apr 2026 - 3:46

363

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What is the PDF of $F(x,y)=1-e^{-x-y}$?

Published on 16 Apr 2026 - 12:25

329

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What is the mean value of $(X_1^2+X_2^2+\cdots X_N^2)/(X_1+X_2 + \cdots +X_N)$

Published on 16 Apr 2026 - 9:16

413

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Find cumulative distribution function of random variable given probability generating function

Published on 12 Apr 2026 - 15:07

86

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Correct bounds when finding PDF of $X + Y$, where $X,Y$ i.i.d.

Published on 16 Apr 2026 - 11:19

54

Views

How we can derive in general, the exponent (parameter or tail index) of a Pareto distribution from certain general phenomena/probability assumptions?

Published on 16 Apr 2026 - 4:18

List Question

Find the distribution of $Y_3=(Y_2|Y_1=3)$ and calculate $\mathbb E(Y_3)$

Weighted Chernoff Bound

distribution of digits in prime numbers

Distribution of integral of product of Gaussian distributions

Coin toss, probability for less than expected tails?

cumulative distribution of a sample from cumulative distribution

$E[S_4|N(2)=3]$ and $E[N(2)|S_4=2]$

Does the variance have linearity property??

A random variable N takes integer values 1,2,3,..., where P(N=n)=1/2^n . Find E(N)

Proof of the equivalence of the two definitions of heavy-tailed distributions

What is the PDF of $F(x,y)=1-e^{-x-y}$?

What is the mean value of $(X_1^2+X_2^2+\cdots X_N^2)/(X_1+X_2 + \cdots +X_N)$

Find cumulative distribution function of random variable given probability generating function

Correct bounds when finding PDF of $X + Y$, where $X,Y$ i.i.d.

How we can derive in general, the exponent (parameter or tail index) of a Pareto distribution from certain general phenomena/probability assumptions?

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