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Are X and Y independent if the $MGF_{X+Y} = MGF_X MGF_Y$?

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#probability #probability-theory #random-variables #independence #moment-generating-functions
17
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Find a random variable which is the function of X and U and has a moment generating function which is a definite integral

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#probability #moment-generating-functions
37
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Probability generating function of $\sum_{i=1}^{\infty}X_i$

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#probability #generating-functions #moment-generating-functions
52
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Find the moment generating function of a non-canonized gaussian at a specific point t=0

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#probability #normal-distribution #moment-generating-functions #moment-problem
42
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Laplacian transform, moments or characteristic function of a random variable

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#probability #laplace-transform #moment-generating-functions #characteristic-functions
52
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Derive the moment generating function with a single variable

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#probability #probability-distributions #moment-generating-functions
76
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Converse proof: A positive random variable has a MGF iff its distribution has a tail which is exponentially bounded

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#proof-explanation #expected-value #moment-generating-functions
82
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How to find the moment generating function of a random variable $X$ with PDF of $4x^3$ for $0<x<1$?

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#probability #random-variables #moment-generating-functions
43
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Uniqueness of moment generating functions determining joint distribution of two random variables

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#statistics #probability-distributions #distribution-theory #binomial-distribution #moment-generating-functions
68
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Moment-Generating Function and Expected Value

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#statistics #moment-generating-functions
18
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Moment Generating Function of a compouded Sum

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#probability-theory #stochastic-processes #random-variables #stochastic-analysis #moment-generating-functions
42
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Getting moment generating function for a pdf, integration limits?

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#probability #integration #statistics #expected-value #moment-generating-functions
23
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Given the following moment generating function, find P(X=0): Mx(t) = e^t

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#statistics #probability-distributions #moment-generating-functions
90
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Bound on subgaussian variance proxy of bounded random variable using its variance

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#probability-theory #inequality #moment-generating-functions
45
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generating function of some concrete sequence

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#sequences-and-series #moment-generating-functions

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