Question

How to find the Moment Generating function of a function of random variables from their joint Moment Generating function?

score 445 · Answer 1 · 2020-06-06 23:28:18

445

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How to find the Moment Generating function of a function of random variables from their joint Moment Generating function?

Published on 06 Jun 2020 - 23:28

score 31 · Answer 2 · 2020-06-08 17:11:53

31

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Is $X$ with moment generating function such that $\psi_X(1)=2$ and $\psi_X(2)=4$ constant?

Published on 08 Jun 2020 - 17:11

score 126 · Answer 3 · 2020-06-09 03:32:59

126

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kth moment of an arbitrary function

Published on 09 Jun 2020 - 3:32

score 147 · Answer 4 · 2020-06-09 13:59:18

147

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Expectation of a binomial random variable raised to a non-integer power? ("non-integer moment" of a probability distribution)

Published on 09 Jun 2020 - 13:59

score 172 · Answer 5 · 2020-06-09 22:24:25

172

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Showing that the $r^{th}$ derivative of the moment generating function is the $r^{th}$ raw moment

Published on 09 Jun 2020 - 22:24

score 179 · Answer 6 · 2020-06-13 04:58:33

179

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Moment generating function doubts

Published on 13 Jun 2020 - 4:58

score 47 · Answer 7 · 2020-06-16 09:17:05

47

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Determining moment generating function $\sum_{i=1}^n iX_i$

Published on 16 Jun 2020 - 9:17

score 167 · Answer 8 · 2020-06-16 17:52:00

167

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Does proximity of moment generating functions implies proximity of characteristic functions?

Published on 16 Jun 2020 - 17:52

score 27 · Answer 9 · 2020-06-18 08:39:59

27

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Generating function for moments about mean

Published on 18 Jun 2020 - 8:39

score 65 · Answer 10 · 2026-02-23 10:06:01

65

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Which one is the correct mean formula of negative binomial distribution? $\frac{r}{p}$ or $\frac{(1-p) r}{p}$?

Published on 23 Feb 2026 - 10:06

score 144 · Answer 11 · 2020-06-19 10:29:12

144

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Prove that $\frac{Y-E(Y)}{\sqrt{\operatorname{Var}(Y)}}$ converges in distribution to $Z\sim N(0,1)$ as $n\to \infty$

Published on 19 Jun 2020 - 10:29

score 206 · Answer 12 · 2020-06-20 20:43:27

206

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Equality of Moment Generating Functions

Published on 20 Jun 2020 - 20:43

score 1.1k · Answer 13 · 2026-03-25 11:24:06

1.1k

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Properties of Legendre/Cramer's transformation of the moment generating function

Published on 25 Mar 2026 - 11:24

score 49 · Answer 14 · 2020-06-22 03:08:59

49

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Continuous Distribution and Probability density function Question

Published on 22 Jun 2020 - 3:08

score 79 · Answer 15 · 2020-06-24 06:50:51

79

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Compound probability function and moment generating function

Published on 24 Jun 2020 - 6:50

List Question

How to find the Moment Generating function of a function of random variables from their joint Moment Generating function?

Is $X$ with moment generating function such that $\psi_X(1)=2$ and $\psi_X(2)=4$ constant?

kth moment of an arbitrary function

Expectation of a binomial random variable raised to a non-integer power? ("non-integer moment" of a probability distribution)

Showing that the $r^{th}$ derivative of the moment generating function is the $r^{th}$ raw moment

Moment generating function doubts

Determining moment generating function $\sum_{i=1}^n iX_i$

Does proximity of moment generating functions implies proximity of characteristic functions?

Generating function for moments about mean

Which one is the correct mean formula of negative binomial distribution? $\frac{r}{p}$ or $\frac{(1-p) r}{p}$?

Prove that $\frac{Y-E(Y)}{\sqrt{\operatorname{Var}(Y)}}$ converges in distribution to $Z\sim N(0,1)$ as $n\to \infty$

Equality of Moment Generating Functions

Properties of Legendre/Cramer's transformation of the moment generating function

Continuous Distribution and Probability density function Question

Compound probability function and moment generating function

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