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Holomorphic extensions of characteristic functions

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#complex-analysis #probability-theory #characteristic-functions #levy-processes
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Can I always decompose a random variable in sum of iid random variables?

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#probability #probability-theory #random-variables #characteristic-functions
22
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Is this a measurable function is this space?

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#measure-theory #lebesgue-integral #characteristic-functions
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Characteristic functions of Poisson and normal distribution

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#probability #probability-distributions #normal-distribution #poisson-distribution #characteristic-functions
61
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Showing the sum of random variables are Linnik-Distributed

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#probability-distributions #random-variables #characteristic-functions
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Square of the Absolute Value of a Characteristic Function is a Characteristic Function

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#probability #probability-theory #characteristic-functions
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Characteristic function of symmetric distribution

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#probability-theory #characteristic-functions
68
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What is the function that solves the Cauchy Problem?

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#partial-differential-equations #characteristic-functions
698
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Moment generation function -> characteristic function uniqueness

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#probability #complex-analysis #characteristic-functions #moment-generating-functions
901
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Explanation of pointwise convergence for this particular characteristic (indicator) function

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#real-analysis #convergence-divergence #characteristic-functions
956
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Analytical continuation of moment generating function

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#probability #complex-analysis #characteristic-functions #moment-generating-functions #analytic-continuation
313
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Convergence in probability using characteristic functions

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#probability-theory #convergence-divergence #characteristic-functions #probability-limit-theorems #law-of-large-numbers
663
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Asymptotic standard normal distribution

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#asymptotics #normal-distribution #characteristic-functions
2k
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Derivatives of characteristic function

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#real-analysis #probability-theory #taylor-expansion #characteristic-functions
81
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Which random variable has the characteristic function $f(t)=\frac{e^{it}}{1-it}$

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#probability #probability-theory #statistics #random-variables #characteristic-functions

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