List questions from characteristic-functions

Published on 02 Dec 2019 - 22:33

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Two characteristic functions agree at $t=1$

Published on 02 Dec 2019 - 23:32

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Prove independence of limit point of a sequence of random variables

Published on 03 Dec 2019 - 7:44

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Knowing that $\phi(t)$ is a characteristic function and $G(s)$ is a generating function, prove $G(\phi(t))$ is also a characteristic function.

Published on 07 Dec 2019 - 20:13

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Convolution of (s+1) characteristic functions

Published on 08 Dec 2019 - 19:39

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If $F$ is purely discontinuous, then $\limsup_{t\to\infty}f(t)=1$.

Published on 10 Dec 2019 - 15:34

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Ordered set - Up-set

Published on 25 Mar 2026 - 9:11

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characteristic function of product of two random variables

Published on 17 Dec 2019 - 18:04

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Example where $n^{-1/2}S_n\Rightarrow N(0,1)$ but its variance does not converge to 1

Published on 19 Dec 2019 - 5:45

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Lévy's Continuity Theorem and Characteristic Functions

Published on 27 Dec 2019 - 18:30

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Convolution of two diferent probability distribution functions

Published on 25 Mar 2026 - 14:29

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A sufficient condition for a Borel probability measure to be a Dirac measure

Published on 25 Mar 2026 - 10:55

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Condition of continuity of characteristic function.

Published on 09 Jan 2020 - 17:01

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Expected of number of discrete uniform variables whose sum is bigger than k (from characteristic function of discrete Irwin–Hall distribution?)

Published on 21 Jan 2020 - 16:58

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Solve this Fourier Transform

Published on 25 Mar 2026 - 11:08

List Question

Proving a characteristic function is infinitely differentiable

Two characteristic functions agree at $t=1$

Prove independence of limit point of a sequence of random variables

Knowing that $\phi(t)$ is a characteristic function and $G(s)$ is a generating function, prove $G(\phi(t))$ is also a characteristic function.

Convolution of (s+1) characteristic functions

If $F$ is purely discontinuous, then $\limsup_{t\to\infty}f(t)=1$.

Ordered set - Up-set

characteristic function of product of two random variables

Example where $n^{-1/2}S_n\Rightarrow N(0,1)$ but its variance does not converge to 1

Lévy's Continuity Theorem and Characteristic Functions

Convolution of two diferent probability distribution functions

A sufficient condition for a Borel probability measure to be a Dirac measure

Condition of continuity of characteristic function.

Expected of number of discrete uniform variables whose sum is bigger than k (from characteristic function of discrete Irwin–Hall distribution?)

Solve this Fourier Transform

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