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Poisson distribution goes to normal distribution

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#probability #normal-distribution #poisson-distribution #moment-generating-functions
364
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Calculating the value of $\mu$ and $\sigma$ from a moment generating function.

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#probability #variance #means #moment-generating-functions
49
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Joint MGF requires expectation to be finite in a box containing the origin in $\mathbb{R}^k$

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#linear-algebra #probability #geometry #moment-generating-functions
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Moment generating function of Erlang Distribution

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#probability #integration #probability-distributions #moment-generating-functions
136
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Interpretation of moment generating function of normal distribution.

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184
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Expectation of $\exp(-yx)$ when $x$ and $y$ are jointly normal distributed

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#probability #normal-distribution #expected-value #moment-generating-functions
77
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Approximation to the characteristic function

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#probability-distributions #characteristic-functions #moment-generating-functions
63
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Find the distribution of $X|X+Y=n$ using MGFs

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#probability-distributions #conditional-expectation #poisson-distribution #moment-generating-functions
122
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Find $E(e^{aX})$ if $X \sim \operatorname{Gamma}(\lambda, k)$

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#expected-value #gamma-function #moment-generating-functions #gamma-distribution
60
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Expected Values of Moment Generating Function

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#probability #moment-generating-functions
33
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Finding the distribution of $X|X+Y=n$ using MGFs

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#probability #logarithms #poisson-distribution #moment-generating-functions
9.1k
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Moment generating function for multivariate normal

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#probability-distributions #normal-distribution #moment-generating-functions
2.5k
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Bivariate moment generating function

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#moment-generating-functions #bivariate-distributions
151
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An inequality for the mgf using Jensen’s inequality

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#probability #probability-theory #moment-generating-functions #jensen-inequality
94
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Prove the following equality (similar to Hoeffding?)

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#probability-theory #inequality #moment-generating-functions

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