List questions from moment-generating-functions

Published on 26 Mar 2026 - 14:16

67

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Find the Moment of Inertia (Need Help With a Single Step)

Published on 10 Dec 2014 - 3:34

22

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Is there a name for expressions that are invariant under the exchange of raw moments and cumulants?

Published on 10 Dec 2014 - 21:51

1.1k

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finite variance but infinite higher moments

Published on 30 Dec 2014 - 13:08

771

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Given MGF of $X$, how to find $P(|X| \leq 1)$

Published on 02 Oct 2019 - 5:03

90

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Finding joint distribuion of $X,Y$ given joint moment generating function

Published on 09 Oct 2019 - 4:56

37

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Cramér’s theorem: sum of independent Normals

Published on 10 Oct 2019 - 14:39

296

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Moment Generating Function of Y

Published on 26 Mar 2026 - 2:59

69

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For a, b in (−∞, ∞), a < b, show that Y = a+(b−a)X has a uniform distribution over [a, b].

Published on 12 Oct 2019 - 11:40

74

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$\mathbb{E}\big(e^{X}\big|$ $e^{Y}\big)\overset{?}{=}\mathbb{E}\big(e^{X}\big|$ $Y\big)$

Published on 13 Oct 2019 - 15:18

257

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Interchanging Integration and Differentiation

Published on 14 Oct 2019 - 21:47

175

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Convergence of moments implies convergence of absolute moments?

Published on 21 Oct 2019 - 13:34

264

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Computing all moments of standard normal distribution

Published on 21 Oct 2019 - 14:52

17

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Two expansions are equal, so the partial sums are all equal (MGFs)

Published on 16 Mar 2026 - 7:20

23

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How to find the moment generating function of Y|X=x

Published on 23 Oct 2019 - 12:01

List Question

Statistics: Odd Moments

Find the Moment of Inertia (Need Help With a Single Step)

Is there a name for expressions that are invariant under the exchange of raw moments and cumulants?

finite variance but infinite higher moments

Given MGF of $X$, how to find $P(|X| \leq 1)$

Finding joint distribuion of $X,Y$ given joint moment generating function

Cramér’s theorem: sum of independent Normals

Moment Generating Function of Y

For a, b in (−∞, ∞), a < b, show that Y = a+(b−a)X has a uniform distribution over [a, b].

$\mathbb{E}\big(e^{X}\big|$ $e^{Y}\big)\overset{?}{=}\mathbb{E}\big(e^{X}\big|$ $Y\big)$

Interchanging Integration and Differentiation

Convergence of moments implies convergence of absolute moments?

Computing all moments of standard normal distribution

Two expansions are equal, so the partial sums are all equal (MGFs)

How to find the moment generating function of Y|X=x

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