List questions from characteristic-functions

Published on 07 Aug 2020 - 11:37

76

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When is the restriction of a characteristic function to an open neighborhood continuous?

Published on 07 Aug 2020 - 21:15

185

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IF $\mu_n \rightarrow \mu$ Show that , $\sup _{A\in \mathbb{R}}|\mu_n -\mu |\rightarrow0$

Published on 12 Aug 2020 - 5:40

228

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Doubt about $χ_{A}$, the characteristic function of the set $A$

Published on 12 Aug 2020 - 13:04

237

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How to prove these 7 inequation about characteristic function?

Published on 13 Aug 2020 - 5:09

165

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Analytic characteristic function convergence

Published on 29 Mar 2026 - 23:39

39

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Name of function which similar to characteristic function.

Published on 14 Aug 2020 - 9:16

412

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Necessary and sufficient condition for weak convergence of gamma distribution

Published on 14 Aug 2020 - 13:27

172

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Proving convergence in distribution using Levy's continuity theorem

Published on 16 Aug 2020 - 0:46

489

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Prove the following random variable is a constant almost surely

Published on 18 Aug 2020 - 1:51

117

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Mixing property of stationary Process, only finite dimensional marginal distributions needed??

Published on 26 Mar 2026 - 12:53

537

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Degenerate random variable and characteristic functions

Published on 21 Aug 2020 - 21:33

486

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Characteristic function of $Z=X-Y$, where $X$ and $Y$ follows Po($\lambda$) and prove that $E[Z^2]=2\lambda$

Published on 22 Aug 2020 - 6:03

40

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Limit variant of Cramer's Decomposition of Normal Random Variables

Published on 23 Aug 2020 - 23:14

566

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Why a characteristic function should be positive-definite?

Published on 29 Aug 2020 - 19:30

List Question

How can I prove $\left|\frac{e^{it_p x_j}-1}{t_p}\right| \leq 2|x|$?

When is the restriction of a characteristic function to an open neighborhood continuous?

IF $\mu_n \rightarrow \mu$ Show that , $\sup _{A\in \mathbb{R}}|\mu_n -\mu |\rightarrow0$

Doubt about $χ_{A}$, the characteristic function of the set $A$

How to prove these 7 inequation about characteristic function?

Analytic characteristic function convergence

Name of function which similar to characteristic function.

Necessary and sufficient condition for weak convergence of gamma distribution

Proving convergence in distribution using Levy's continuity theorem

Prove the following random variable is a constant almost surely

Mixing property of stationary Process, only finite dimensional marginal distributions needed??

Degenerate random variable and characteristic functions

Characteristic function of $Z=X-Y$, where $X$ and $Y$ follows Po($\lambda$) and prove that $E[Z^2]=2\lambda$

Limit variant of Cramer's Decomposition of Normal Random Variables

Why a characteristic function should be positive-definite?

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