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Are the following functions characteristic functions of a random variable?

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#probability #characteristic-functions
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Characteristic function

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#probability #probability-theory #characteristic-functions
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$\exp(-t^4)$ is not a characteristic function

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#probability #polynomials #characteristic-functions
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What is the integral of the function $f = \chi_{[0,\infty)}e^{-x}$

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#integration #lebesgue-integral #characteristic-functions
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A sum of a random number of Poisson random variables

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#probability #probability-theory #probability-distributions #poisson-distribution #characteristic-functions
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Given the characteristic equation of A.Find equation for B.

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#linear-algebra #characteristic-functions
331
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An exercise on indicator function in a measure space

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#measure-theory #proof-verification #limsup-and-liminf #characteristic-functions #borel-cantelli-lemmas
188
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Analogous result for basic Central Limit Theorem

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#probability-theory #characteristic-functions #central-limit-theorem
156
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Difference between the characteristic function of a sum of independent vectors and a Gaussian

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#probability #reference-request #characteristic-functions #central-limit-theorem
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Finding a characteristic function of an exponential pdf

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#characteristic-functions
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How to reduce into canonical form

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#ordinary-differential-equations #partial-differential-equations #characteristic-functions
123
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How can I make sure that the classical way of calculating the characteristic function of an exponential holds?

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#real-analysis #complex-analysis #complex-numbers #characteristic-functions
605
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How would I find the characteristic equation of this Recurrence Relation?

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#combinatorics #recurrence-relations #recursion #characteristic-functions
59
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How to prove convergence for the following?

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#probability #probability-theory #convergence-divergence #characteristic-functions
145
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What is the eigenvalue for characteristic polynomial $(1+\lambda^2)\lambda$?

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#linear-algebra #eigenvalues-eigenvectors #characteristic-functions

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