List questions from moment-generating-functions

Published on 07 Feb 2022 - 15:53

74

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How do you compute the 1st moment using the Laplace transform of this function?

Published on 07 Feb 2022 - 15:56

208

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Expected value of $e^{tX}$ for $t > 0$

Published on 27 Mar 2026 - 3:57

121

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Is this the correct way to use the Moment Generating Function?

Published on 17 Feb 2022 - 17:47

135

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Showing $\mathbb{E}[\exp(\lambda X) | G] \leq \exp\left(\frac{\lambda^{2}}{2}\right)$ for a random variable $X$ and sub-sigma-algebra $\mathcal G$

Published on 18 Feb 2022 - 20:46

215

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Finding the moment generating function by using the Maclaurin series.

Published on 03 Mar 2022 - 0:07

30

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Given that X and Y are RV supported on [2,3], If the correlation coefficient of X^t and Y^s is 0 for any s,t ∈ [2,3], then X and Y are independent.

Published on 10 Mar 2022 - 1:43

277

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What is the distribution of the mean of exponential random variables ? What are the parameters of the distribution?

Published on 10 Mar 2022 - 3:59

180

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find density function from moment generating function

Published on 13 Mar 2022 - 6:46

50

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How to find probability from moment generating Function?

Published on 17 Mar 2022 - 13:37

221

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Free cumulant generating function

Published on 23 Feb 2026 - 6:34

314

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Existence of MGF in an interval containing $0$ implies that moment of all orders exist

Published on 29 Mar 2026 - 4:26

93

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Conditional MGF of the difference of two exponentially distributed random variables

Published on 27 Mar 2022 - 17:43

85

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MGF exists and yet derivative does not

Published on 29 Mar 2026 - 6:04

112

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Does zero cumulants imply independence?

Published on 23 Feb 2026 - 6:36

List Question

Covariance function exponential of brownian motion with drift

How do you compute the 1st moment using the Laplace transform of this function?

Expected value of $e^{tX}$ for $t > 0$

Is this the correct way to use the Moment Generating Function?

Showing $\mathbb{E}[\exp(\lambda X) | G] \leq \exp\left(\frac{\lambda^{2}}{2}\right)$ for a random variable $X$ and sub-sigma-algebra $\mathcal G$

Finding the moment generating function by using the Maclaurin series.

Given that X and Y are RV supported on [2,3], If the correlation coefficient of X^t and Y^s is 0 for any s,t ∈ [2,3], then X and Y are independent.

What is the distribution of the mean of exponential random variables ? What are the parameters of the distribution?

find density function from moment generating function

How to find probability from moment generating Function?

Free cumulant generating function

Existence of MGF in an interval containing $0$ implies that moment of all orders exist

Conditional MGF of the difference of two exponentially distributed random variables

MGF exists and yet derivative does not

Does zero cumulants imply independence?

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