List questions from moment-generating-functions

Published on 25 Mar 2026 - 9:09

98

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How to solve this integral involving exponential and exponential of exponential?

Published on 25 Mar 2026 - 10:01

40

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Methodology behind moment generating function $E(e^{t(A-B)})$ for two independent and identically distributed random variables A and B

Published on 10 Jun 2018 - 2:48

39

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Why is this the result of computing the expectaion of this variable

Published on 25 Mar 2026 - 6:07

627

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Why the second cumulant is variance?

Published on 22 Mar 2026 - 3:49

496

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Moment generating function of sum of $N$ exponentially distributed random variables

Published on 25 Mar 2026 - 5:51

141

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Calculating the conditional expected Value of correlated functions/ Moment Generating function

Published on 22 Jun 2018 - 10:15

7.6k

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MGF of The Negative Binomial Distribution

Published on 24 Mar 2026 - 18:41

1k

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Expectation and Variance of Negative Binomial Distribution from the MGF

Published on 25 Mar 2026 - 7:15

483

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Show $\lim_{p\to 0} m_Y(u)=\Big(\frac{1}{1-2u}\Big)^r$ where $Y=2pX$

Published on 24 Jun 2018 - 8:56

1.8k

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Find the Variance of Negative Binomial Distribution via the MGF

Published on 24 Mar 2026 - 21:02

748

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Moment generating function of the average of two variables

Published on 24 Mar 2026 - 22:36

139

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Using MGF's to characterize a distribution

Published on 24 Mar 2026 - 20:00

410

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Show for $\ c>0\ $ that $\ cY\sim \ \text{Gamma}(\alpha,c\beta)$

Published on 25 Mar 2026 - 8:13

1.3k

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Variance using moment

Published on 25 Mar 2026 - 3:35

List Question

Moments of equally weighted mixture of two bivariate normal

How to solve this integral involving exponential and exponential of exponential?

Methodology behind moment generating function $E(e^{t(A-B)})$ for two independent and identically distributed random variables A and B

Why is this the result of computing the expectaion of this variable

Why the second cumulant is variance?

Moment generating function of sum of $N$ exponentially distributed random variables

Calculating the conditional expected Value of correlated functions/ Moment Generating function

MGF of The Negative Binomial Distribution

Expectation and Variance of Negative Binomial Distribution from the MGF

Show $\lim_{p\to 0} m_Y(u)=\Big(\frac{1}{1-2u}\Big)^r$ where $Y=2pX$

Find the Variance of Negative Binomial Distribution via the MGF

Moment generating function of the average of two variables

Using MGF's to characterize a distribution

Show for $\ c>0\ $ that $\ cY\sim \ \text{Gamma}(\alpha,c\beta)$

Variance using moment

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