List questions from moment-generating-functions

Published on 19 Oct 2020 - 20:08

102

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If $g(x) = \sum_{k=0}^{\infty} a_k \cdot \frac{x^k}{k!}$ is 0 at integer values, does it mean that all $a_k = 0$?

Published on 20 Oct 2020 - 5:26

95

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Normally Distributed and Covariance is zero

Published on 21 Oct 2020 - 14:42

46

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What is the generator of normal law $N(0,1)$ using below inequality?

Published on 21 Oct 2020 - 18:49

38

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What is the moment generating function of this distribution?

Published on 21 Oct 2020 - 19:27

77

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Determine CDF of $S=X+Y$ using partial fraction decomposition. $X\sim \mathrm{Exp}(\alpha)$ independent of $Y\sim \mathrm{Exp}(\beta)$

Published on 22 Oct 2020 - 11:01

258

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Find the moment generating function of sum of dependent Poisson distributions

Published on 23 Oct 2020 - 21:54

78

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Finding $P(W\le 1)$ given moment generating function of $W$

Published on 25 Oct 2020 - 4:04

2.2k

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Use MGF of standard Brownian motion to compute its expectation

Published on 26 Oct 2020 - 8:37

76

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Moments of Pareto($\alpha$)

Published on 26 Oct 2020 - 19:14

107

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Integral of exponential and square root

Published on 27 Oct 2020 - 0:56

148

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P.G.F. of total progeny in a Poisson branching process

Published on 30 Oct 2020 - 6:44

58

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Using MGF of Normal Variable

Published on 04 Nov 2020 - 1:50

56

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Computing Joint Moment Generating Function

Published on 04 Nov 2020 - 14:01

43

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How do i compute this integral for a moment generating function?

Published on 04 Nov 2020 - 21:41

List Question

Finding the Moment Generating Function of a Transformed Random Variable

If $g(x) = \sum_{k=0}^{\infty} a_k \cdot \frac{x^k}{k!}$ is 0 at integer values, does it mean that all $a_k = 0$?

Normally Distributed and Covariance is zero

What is the generator of normal law $N(0,1)$ using below inequality?

What is the moment generating function of this distribution?

Determine CDF of $S=X+Y$ using partial fraction decomposition. $X\sim \mathrm{Exp}(\alpha)$ independent of $Y\sim \mathrm{Exp}(\beta)$

Find the moment generating function of sum of dependent Poisson distributions

Finding $P(W\le 1)$ given moment generating function of $W$

Use MGF of standard Brownian motion to compute its expectation

Moments of Pareto($\alpha$)

Integral of exponential and square root

P.G.F. of total progeny in a Poisson branching process

Using MGF of Normal Variable

Computing Joint Moment Generating Function

How do i compute this integral for a moment generating function?

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