List questions from moment-generating-functions

Published on 24 Mar 2026 - 3:53

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Negative Binomial Random Variable Question

Published on 24 Mar 2026 - 11:36

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Finding the Probability from the sum of 3 random variables

Published on 24 Mar 2026 - 9:52

27

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Moment generating function $Y$

Published on 23 Mar 2026 - 20:19

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Why is moment generating function represented using exponential rather than binomial series?

Published on 23 Mar 2026 - 19:24

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Let X ∼ Expo(λ). You can assume you know that λX ∼ Expo(1), and that the nth moment of an Expo(1) random variable is n!. Find the skewness of X.

Published on 23 Mar 2026 - 22:59

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Moment generating function is finite given limsup property

Published on 24 Mar 2026 - 13:17

259

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Standard Normal Moments and Combinatorics

Published on 23 Mar 2026 - 20:29

37

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Distribution of a stable and exponential r.v

Published on 24 Mar 2026 - 9:48

44

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Lim sup of moments

Published on 24 Mar 2026 - 12:45

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Moment-generating function of a random variable with mean 0 and variance 1

Published on 23 Mar 2026 - 19:09

159

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Using MGFs to determine independence of sum and difference of two variables $(X+Y$ and $X-Y)$

Published on 24 Mar 2026 - 8:55

27

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Tight Bounds on Moments of $X = a_1x_1 + \cdots + a_nx_n$

Published on 23 Mar 2026 - 20:30

53

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Moment Generating Function of a Continuous Random Function

Published on 24 Mar 2026 - 8:43

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Finding Standard Deviation from MGF

Published on 25 Mar 2026 - 7:38

List Question

Moment generating function of f(X)

Negative Binomial Random Variable Question

Finding the Probability from the sum of 3 random variables

Moment generating function $Y$

Why is moment generating function represented using exponential rather than binomial series?

Let X ∼ Expo(λ). You can assume you know that λX ∼ Expo(1), and that the nth moment of an Expo(1) random variable is n!. Find the skewness of X.

Moment generating function is finite given limsup property

Standard Normal Moments and Combinatorics

Distribution of a stable and exponential r.v

Lim sup of moments

Moment-generating function of a random variable with mean 0 and variance 1

Using MGFs to determine independence of sum and difference of two variables $(X+Y$ and $X-Y)$

Tight Bounds on Moments of $X = a_1x_1 + \cdots + a_nx_n$

Moment Generating Function of a Continuous Random Function

Finding Standard Deviation from MGF

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