List questions from moment-generating-functions

Published on 04 Jun 2017 - 22:12

1k

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Moment generating function of $\sqrt{\bar{X}}$

Published on 05 Jun 2017 - 2:03

104

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What is the origin of the term "moments" in the study of random variables?

Published on 07 Jun 2017 - 15:51

106

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Probability distribution whose moments are 2n choose n

Published on 29 Mar 2026 - 10:14

210

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Binomial moment generating function

Published on 16 Jun 2017 - 14:15

487

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Creating a mixed moment generating function from a Bernoulli random variable and a Uniform random variable

Published on 16 Jun 2017 - 22:40

87

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MGF of distribution with PDF $\frac12 e^x\mathbf 1_{x<0}+e^{-2x}\mathbf 1_{x > 0}$

Published on 18 Jun 2017 - 9:12

1.6k

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Proof of Strong Law of Large Numbers, reasoning behind using 4th moment?

Published on 18 Jun 2017 - 15:54

3.1k

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Finding Variance from a joint moment generating function

Published on 25 Mar 2026 - 22:01

1.2k

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Given a joint moment generating function, find $P(X<Y)$

Published on 24 Jun 2017 - 1:42

575

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MGF of X where $E(X^{2r})= (2r)!/2^rr!$ and $E(X^{2r-1}) = 0 $

Published on 25 Jun 2017 - 7:55

1.5k

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3rd Cumulant Equals to 3rd moment, 4th Cumulant Equalts to 4th moment${}- 3$

Published on 23 Feb 2026 - 6:40

153

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Bounds on the moments of an arbitrary distributions

Published on 29 Jun 2017 - 21:23

705

Views

Finding the mgf when moments are given

Published on 07 Jul 2017 - 13:10

77

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Probability Function From the k-th Moment

Published on 09 Jul 2017 - 13:02

List Question

How to verify the formula for the moment generating function of a uniform random variable?

Moment generating function of $\sqrt{\bar{X}}$

What is the origin of the term "moments" in the study of random variables?

Probability distribution whose moments are 2n choose n

Binomial moment generating function

Creating a mixed moment generating function from a Bernoulli random variable and a Uniform random variable

MGF of distribution with PDF $\frac12 e^x\mathbf 1_{x<0}+e^{-2x}\mathbf 1_{x > 0}$

Proof of Strong Law of Large Numbers, reasoning behind using 4th moment?

Finding Variance from a joint moment generating function

Given a joint moment generating function, find $P(X<Y)$

MGF of X where $E(X^{2r})= (2r)!/2^rr!$ and $E(X^{2r-1}) = 0 $

3rd Cumulant Equals to 3rd moment, 4th Cumulant Equalts to 4th moment${}- 3$

Bounds on the moments of an arbitrary distributions

Finding the mgf when moments are given

Probability Function From the k-th Moment

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