List questions from probability-distributions

Published on 26 Mar 2026 - 3:12

40

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Definition of the density of a random variable

Published on 08 Apr 2026 - 20:53

210

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Finding value of $r$ for which $n^r(1-X_{(n)})$ converges in distribution

Published on 12 Apr 2026 - 19:32

43

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Generalizing the coin toss

Published on 11 Apr 2026 - 14:59

34

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Derivation for a mixed distribution, Poisson Lindley

Published on 26 Mar 2026 - 1:02

66

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Find the density of the conditional distribution of $X$, given $X>a$

Published on 10 Apr 2026 - 12:34

22

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Probability distribution of $Y$ when $Y=\frac{a}{b+X}$, where $a,b>0$ and $\Pr(b+X\ne{0})=1$, $X\sim\mathcal{N}(0,\sigma^2)$

Published on 16 Apr 2026 - 9:49

61

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Dependent Probability from Probability Density Function of a Discrete Random Variable

Published on 09 Apr 2026 - 19:55

443

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Poisson paradigm: Why is $\lambda$, the rate of occurrence of events, equal to the sum of the probabilities of all the events that occur?

Published on 14 Apr 2026 - 13:25

65

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Application of central limit theorem for trigonometric polynomial (aka Salem-Zygmund Theorem)

Published on 12 Apr 2026 - 6:53

290

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What is this singular distribution $T(\phi)(x) = \int_{\mathbb{R}^n} \frac{\phi(y)}{|x-y|^n} \mathrm{d}y$?

Published on 25 Mar 2026 - 0:07

125

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How can I find the PDF of a function of a random variable?

Published on 08 Apr 2026 - 23:09

62

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From PDF to MGF

Published on 26 Mar 2026 - 11:16

27

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$P[|X-1| < c]$ of a marginal PDF

Published on 17 Apr 2026 - 9:41

75

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convolution of two continuous function

Published on 11 Apr 2026 - 11:35

List Question

Enhanced Berry-Esseen theorem for the digits of $\sqrt{2}$

Definition of the density of a random variable

Finding value of $r$ for which $n^r(1-X_{(n)})$ converges in distribution

Generalizing the coin toss

Derivation for a mixed distribution, Poisson Lindley

Find the density of the conditional distribution of $X$, given $X>a$

Probability distribution of $Y$ when $Y=\frac{a}{b+X}$, where $a,b>0$ and $\Pr(b+X\ne{0})=1$, $X\sim\mathcal{N}(0,\sigma^2)$

Dependent Probability from Probability Density Function of a Discrete Random Variable

Poisson paradigm: Why is $\lambda$, the rate of occurrence of events, equal to the sum of the probabilities of all the events that occur?

Application of central limit theorem for trigonometric polynomial (aka Salem-Zygmund Theorem)

What is this singular distribution $T(\phi)(x) = \int_{\mathbb{R}^n} \frac{\phi(y)}{|x-y|^n} \mathrm{d}y$?

How can I find the PDF of a function of a random variable?

From PDF to MGF

$P[|X-1| < c]$ of a marginal PDF

convolution of two continuous function

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