List questions from moment-generating-functions

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Confidence Interval for Chi-squared distribution

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Mathematical Statistics - Jun Shao - 2.12

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Stochastic Geometry : Obtaining an Integral

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Showing for a variable $X$ with mean and variance 1 that $\mathbb{E}\left(e^{X}\right)\geq e$

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A proof regarding the moment generating function.

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Is the sample mean of a Poisson Distribution Normal?

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Determine pdf from mgf

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Can we use uncorrelated to prove independent?

Published on 24 Mar 2026 - 23:46

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Showing inequality: $pe^{x(1-p)}+(1-p)e^{-xp} \leq e^{x^2(3/4)p}$ for $0 \leq p \leq 1/2, 0 \leq x \leq 1$?

Published on 17 Mar 2026 - 14:10

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Proof of the Central Limit Theorem using moment generating functions

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Suggestion for probability problem book

Published on 24 Mar 2026 - 22:06

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A combinatoric solution (closed expression) for $\sum_{k=i}^n \binom{n}{k}p^k(1-p)^{n-k}$

Published on 23 Mar 2026 - 13:01

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Moment Generating Function under a new probability measure

Published on 17 Mar 2026 - 13:12

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Bounded Pareto Distribution Moment Generating Function

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List Question

Proof verification : Inequality involving moment generating function (MGF)

Confidence Interval for Chi-squared distribution

Mathematical Statistics - Jun Shao - 2.12

Stochastic Geometry : Obtaining an Integral

Showing for a variable $X$ with mean and variance 1 that $\mathbb{E}\left(e^{X}\right)\geq e$

A proof regarding the moment generating function.

Is the sample mean of a Poisson Distribution Normal?

Determine pdf from mgf

Can we use uncorrelated to prove independent?

Showing inequality: $pe^{x(1-p)}+(1-p)e^{-xp} \leq e^{x^2(3/4)p}$ for $0 \leq p \leq 1/2, 0 \leq x \leq 1$?

Proof of the Central Limit Theorem using moment generating functions

Suggestion for probability problem book

A combinatoric solution (closed expression) for $\sum_{k=i}^n \binom{n}{k}p^k(1-p)^{n-k}$

Moment Generating Function under a new probability measure

Bounded Pareto Distribution Moment Generating Function

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