List questions from characteristic-functions

Published on 23 Mar 2017 - 0:33

74

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A question about eigenvalues of $5\times5$ matrix

Published on 23 Mar 2017 - 20:19

368

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For $C>0$, computing Fourier transform of indicator function $\chi_{[0,C]}$

Published on 26 Mar 2017 - 10:19

280

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Principal value not appearing in Fourier transform of the Heaviside function

Published on 26 Mar 2017 - 13:02

1.1k

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A bound on characteristic functions: $|\phi(t)|\leq 1-\frac{1-c^2}{8b^2}t^2$

Published on 02 Apr 2017 - 8:06

101

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Question on the construction of symmetric stable distributions

Published on 05 Apr 2017 - 17:59

153

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Show that $\lim\limits_{n\to\infty}D_n$ exists if and only if $\lim\limits_{n\to\infty}E_n=\emptyset$

Published on 30 Jan 2023 - 18:43

233

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Expansion of Characteristic function

Published on 31 Jan 2023 - 20:29

112

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Use the characteristic function of a geometric function to derive $E[X]=\frac{1}{p}$

Published on 23 Feb 2026 - 19:19

81

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Uniform continuity of characteristic function of a tight family of measure

Published on 02 Feb 2023 - 20:45

39

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$X$ with $\mathbb P(X=1)=\mathbb P(X=-1)=\frac12$ is not infinitely divisible

Published on 04 Feb 2023 - 11:40

138

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Should the characteristic function of a probability distribtion decay to zero?

Published on 08 Feb 2023 - 12:14

33

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Confused with Characteristic Function as Fourier Transform of Density Function

Published on 10 Feb 2023 - 4:19

55

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Express Random Variable as Sum of Independent Random Variables from Characteristic Function

Published on 19 Feb 2023 - 17:56

49

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$\mathcal X_A · f : \mathbb R^n →\mathbb R$ is $B(\mathbb R^n)-B(\mathbb R)$-measurable and integrable?

Published on 25 Mar 2026 - 15:51

List Question

Difference of i.i.d. is symmetric

A question about eigenvalues of $5\times5$ matrix

For $C>0$, computing Fourier transform of indicator function $\chi_{[0,C]}$

Principal value not appearing in Fourier transform of the Heaviside function

A bound on characteristic functions: $|\phi(t)|\leq 1-\frac{1-c^2}{8b^2}t^2$

Question on the construction of symmetric stable distributions

Show that $\lim\limits_{n\to\infty}D_n$ exists if and only if $\lim\limits_{n\to\infty}E_n=\emptyset$

Expansion of Characteristic function

Use the characteristic function of a geometric function to derive $E[X]=\frac{1}{p}$

Uniform continuity of characteristic function of a tight family of measure

$X$ with $\mathbb P(X=1)=\mathbb P(X=-1)=\frac12$ is not infinitely divisible

Should the characteristic function of a probability distribtion decay to zero?

Confused with Characteristic Function as Fourier Transform of Density Function

Express Random Variable as Sum of Independent Random Variables from Characteristic Function

$\mathcal X_A · f : \mathbb R^n →\mathbb R$ is $B(\mathbb R^n)-B(\mathbb R)$-measurable and integrable?

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