List questions from moment-generating-functions

Published on 09 Nov 2020 - 1:48

142

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Prove that two random variates must be negatively correlated

Published on 10 Nov 2020 - 17:34

244

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Size of small connected components in Erdös-Rényi supercritical case

Published on 29 Mar 2026 - 12:41

75

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Interpretation of $k^{th}$ moment of a random variable ( Moment-generating Functions )

Published on 12 Nov 2020 - 6:00

71

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Confused on how the MGF of the exponential distribution works

Published on 12 Nov 2020 - 18:24

981

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moment generating function an infinite moments

Published on 26 Mar 2026 - 16:08

654

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Tail Lower Bounds using Moment Generating Functions

Published on 25 Mar 2026 - 17:44

316

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moment generating function uniquely determines distribution

Published on 17 Nov 2020 - 23:27

1.4k

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MGF and Compound Poisson Distribution

Published on 18 Nov 2020 - 15:33

240

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Moment generating function applied in $2t$

Published on 25 Nov 2020 - 2:13

82

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Deduce that $X$ has normal distribution with mean $0$ and variance $1$

Published on 25 Nov 2020 - 3:48

81

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MGF Expect Random

Published on 25 Nov 2020 - 16:22

37

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Why is $E(\lvert X\rvert^p e^{\theta X})<\infty$ for $p\ge0$ if $\varphi_X(\theta) < \infty$?

Published on 26 Mar 2026 - 3:11

135

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Moment generating function finite everywhere iff $\lim_{t\to\infty} e^{\lambda t}P(\lvert X\rvert > t) = 0$ for $\lambda > 0$

Published on 26 Nov 2020 - 16:45

58

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Derivatives of Moment Generating Function

Published on 27 Nov 2020 - 5:00

List Question

How to derive the mean and variance from a probability density function?

Prove that two random variates must be negatively correlated

Size of small connected components in Erdös-Rényi supercritical case

Interpretation of $k^{th}$ moment of a random variable ( Moment-generating Functions )

Confused on how the MGF of the exponential distribution works

moment generating function an infinite moments

Tail Lower Bounds using Moment Generating Functions

moment generating function uniquely determines distribution

MGF and Compound Poisson Distribution

Moment generating function applied in $2t$

Deduce that $X$ has normal distribution with mean $0$ and variance $1$

MGF Expect Random

Why is $E(\lvert X\rvert^p e^{\theta X})<\infty$ for $p\ge0$ if $\varphi_X(\theta) < \infty$?

Moment generating function finite everywhere iff $\lim_{t\to\infty} e^{\lambda t}P(\lvert X\rvert > t) = 0$ for $\lambda > 0$

Derivatives of Moment Generating Function

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