List questions from moment-generating-functions

Published on 06 Apr 2023 - 19:35

27

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calculating limit by second moment argument

Published on 23 Feb 2026 - 3:04

83

Views

Showing equality of a limit concerning moment generating function

Published on 09 Apr 2023 - 16:47

17

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Determining PDF on a given compliacted moments

Published on 10 Apr 2023 - 7:36

30

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$\sum_{k=1}^{\infty} \frac{s^{k-1}}{k!}$ = $\sum_{k=0}^{\infty}\frac{1}{k+1} \frac{s^{k}}{k!}$, how it comes?

Published on 14 Apr 2023 - 10:42

74

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Is a distribution with mean $p$ and variance $p(1-p)$ always a Bernoulli distribution?

Published on 23 Feb 2026 - 6:38

83

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Moment Generating Function of Subgaussian Random Variable

Published on 26 Apr 2023 - 13:34

84

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Finding the probability density of the difference of ordered statistics

Published on 27 Apr 2023 - 20:08

53

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Existence of an integral that looks like the rth order moment

Published on 02 May 2023 - 17:39

45

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connection between moment of normal r.v to gamma function

Published on 04 May 2023 - 14:20

141

Views

Compute $L_p$ norm of exponential of standard Gaussian

Published on 06 May 2023 - 16:55

59

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Prove the inequality $ 1+\lambda \mathbb{E}[X]+\frac{1}{2}\lambda^2\mathbb{E}[X^2]h(\lambda b)\leq e^{\frac{\lambda^2\mathbb{E}[X^2]}{2}h(\lambda b)}$

Published on 06 May 2023 - 18:02

22

Views

Moment Generating Function determines the distribution statement

Published on 08 May 2023 - 10:09

117

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Proof that MGF of log-normal distribution is finite

Published on 09 May 2023 - 20:54

104

Views

Why is my probability generating function for difference of two variables not working?

Published on 12 May 2023 - 4:43

List Question

Mean zero sub-Gaussian random variable MGF upper bound

calculating limit by second moment argument

Showing equality of a limit concerning moment generating function

Determining PDF on a given compliacted moments

$\sum_{k=1}^{\infty} \frac{s^{k-1}}{k!}$ = $\sum_{k=0}^{\infty}\frac{1}{k+1} \frac{s^{k}}{k!}$, how it comes?

Is a distribution with mean $p$ and variance $p(1-p)$ always a Bernoulli distribution?

Moment Generating Function of Subgaussian Random Variable

Finding the probability density of the difference of ordered statistics

Existence of an integral that looks like the rth order moment

connection between moment of normal r.v to gamma function

Compute $L_p$ norm of exponential of standard Gaussian

Prove the inequality $ 1+\lambda \mathbb{E}[X]+\frac{1}{2}\lambda^2\mathbb{E}[X^2]h(\lambda b)\leq e^{\frac{\lambda^2\mathbb{E}[X^2]}{2}h(\lambda b)}$

Moment Generating Function determines the distribution statement

Proof that MGF of log-normal distribution is finite

Why is my probability generating function for difference of two variables not working?

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