List questions from characteristic-functions

Published on 30 Mar 2026 - 13:11

35

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If $f_n \to f$ in $L^2$, does $\chi_{\{f_n=0\}} \to \chi_{\{f=0\}}$ in $L^2$?

Published on 30 Mar 2026 - 5:20

328

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Relationship between autocorrelation function and characteristic function

Published on 10 May 2026 - 21:43

1.8k

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"Direct" proof of Bochner's theorem for integrable characteristic functions?

Published on 30 Mar 2026 - 3:48

636

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Find the characterisitc function for a standardised binomial random variable

Published on 30 Mar 2026 - 9:24

749

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Characteristic function for a random variable that can take the value infinity

Published on 30 Mar 2026 - 0:42

110

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The inversion formula (Characteristic Function)

Published on 30 Mar 2026 - 8:29

3.2k

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Is the function $ (\cos t)^2$ the characteristic function of some distribution

Published on 30 Mar 2026 - 10:54

26

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If $ E X \gt 0$, is $G'(0) \gt 0 $?

Published on 30 Mar 2026 - 3:24

685

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Characteristic function of the sum of random variables

Published on 10 May 2026 - 11:20

358

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Characteristic function and convergence in distribution

Published on 25 Mar 2026 - 3:24

390

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given the characteristic function $e^{-\sqrt{|t|}}$ , how to calculate the cumulative distribution function？

Published on 30 Mar 2026 - 10:18

275

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An inequality with the characteristic function of a Distribution

Published on 30 Mar 2026 - 1:14

54

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characteristic function in probability theory

Published on 29 Mar 2026 - 20:58

888

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$\phi(t) = \exp(-|t|^\alpha)$ is a characteristic function iff $\alpha = 2$

Published on 30 Mar 2026 - 7:52

List Question

Inverse Fourier Transform of the Cauchy distribution

If $f_n \to f$ in $L^2$, does $\chi_{\{f_n=0\}} \to \chi_{\{f=0\}}$ in $L^2$?

Relationship between autocorrelation function and characteristic function

"Direct" proof of Bochner's theorem for integrable characteristic functions?

Find the characterisitc function for a standardised binomial random variable

Characteristic function for a random variable that can take the value infinity

The inversion formula (Characteristic Function)

Is the function $ (\cos t)^2$ the characteristic function of some distribution

If $ E X \gt 0$, is $G'(0) \gt 0 $?

Characteristic function of the sum of random variables

Characteristic function and convergence in distribution

given the characteristic function $e^{-\sqrt{|t|}}$ , how to calculate the cumulative distribution function？

An inequality with the characteristic function of a Distribution

characteristic function in probability theory

$\phi(t) = \exp(-|t|^\alpha)$ is a characteristic function iff $\alpha = 2$

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