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Same moments and boundedness of one rv implies same distribution

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#probability-theory #probability-distributions #characteristic-functions #moment-generating-functions
97
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Simplifying MGF of sum of bernoulli

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#probability #random-variables #moment-generating-functions
152
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Show that $Y_n = \sum_{k=1}^n X_k (\frac{1}{2})^k$ converges to $U(0,1)$

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#statistics #probability-distributions #convergence-divergence #moment-generating-functions
40
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What is this transformation called? $\mu_\lambda(S) = E\left[\exp\langle\lambda,Y\rangle \, 1_{Y\in S}\right]/E[\exp\langle\lambda,X\rangle] $

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#probability-distributions #reference-request #moment-generating-functions
61
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From PDF to MGF

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#probability-distributions #moment-generating-functions
112
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Concentration of centered variable, based on un-centered moments and tails

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#inequality #moment-generating-functions #concentration-of-measure #distribution-tails
35
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PGF of a visit time.

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#real-analysis #probability-theory #moment-generating-functions #analytic-functions
43
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Guess the distribution from the Moment Generating function

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#probability #moment-generating-functions
546
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Find the first four cumulants of T = XY when X and Y are independent standard normal random variables.

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#probability-theory #probability-distributions #normal-distribution #moment-generating-functions #cumulants
75
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how to simplify this moment generating function

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#probability #moment-generating-functions
82
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Use of moment generating function (MGF) for derivng closed form expression for pairwise error probability of space-time code

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#probability #moment-generating-functions
583
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Prove that the Moment Generating Function of Y = (X-lambda)/sqr(lambda) is equal to...

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#proof-verification #random-variables #poisson-distribution #moment-generating-functions
346
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Proof for moment generating function for $t<-\ln(1-p)$

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#statistics #proof-verification #moment-generating-functions
45
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How could I show the following "fact" about exponential series?

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#inequality #taylor-expansion #moment-generating-functions
400
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Analytic Extension of the Moment Generating Functions and Characteristic Functions

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#probability #characteristic-functions #moment-generating-functions

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