Question

if a characteristic function is constant on a interval then is constant in all R.

score 710 · Answer 1 · 2026-03-21 21:21:22

710

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if a characteristic function is constant on a interval then is constant in all R.

Published on 21 Mar 2026 - 21:21

score 355 · Answer 2 · 2026-03-25 04:35:20

355

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Characteristic Function of Gamma Distributed Random Variables

Published on 25 Mar 2026 - 4:35

score 180 · Answer 3 · 2026-03-22 07:05:03

180

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How to integrate moving Heaviside block?

Published on 22 Mar 2026 - 7:05

score 733 · Answer 4 · 2026-03-22 08:47:19

733

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Why $|e^{itx}| = 1$?

Published on 22 Mar 2026 - 8:47

score 59 · Answer 5 · 2026-03-22 02:44:31

59

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$X_n$ ~ $\Gamma(n,n)$, find the limit in Law of $X_n$

Published on 22 Mar 2026 - 2:44

score 145 · Answer 6 · 2026-03-22 06:18:46

145

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Show that $\psi(t)=e^{\lambda (\varphi(t)-1)}$ is infinitely divisble for any characteristic function $\varphi$

Published on 22 Mar 2026 - 6:18

score 254 · Answer 7 · 2026-03-22 07:17:43

254

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Proving that if $\varphi(t)$ is an infinitely divisible characteristic function then $|\varphi(t)|$ as well

Published on 22 Mar 2026 - 7:17

score 604 · Answer 8 · 2026-03-21 23:42:49

604

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characteristic function of $WX$ where $W$ and $X$ are independent standard normal random variables

Published on 21 Mar 2026 - 23:42

score 1.3k · Answer 9 · 2026-03-25 04:38:56

1.3k

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If $X_n$ is Gamma $(n,\lambda)$ distributed then $(\lambda X_n -n)/\sqrt n\to N(0,1)$

Published on 25 Mar 2026 - 4:38

score 410 · Answer 10 · 2026-03-22 08:59:07

410

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Characteristic function of normal distribution with complex parameter

Published on 22 Mar 2026 - 8:59

score 552 · Answer 11 · 2026-03-22 06:00:24

552

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Characteristic function of independent Poisson random variables

Published on 22 Mar 2026 - 6:00

score 192 · Answer 12 · 2026-03-22 12:55:21

192

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Finding characteristic function then density function is given

Published on 22 Mar 2026 - 12:55

score 116 · Answer 13 · 2026-03-22 09:15:11

116

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Showing $1-\Re \varphi(2t)\leq 4(1-\Re \varphi(t)) $

Published on 22 Mar 2026 - 9:15

score 100 · Answer 14 · 2026-03-22 13:16:39

100

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Showing $ \mathbb{P}\Big( \frac{\Pi - \lambda}{\sqrt{\lambda}}\leq x \Big) $

Published on 22 Mar 2026 - 13:16

score 72 · Answer 15 · 2026-03-25 23:15:51

72

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General Central Limit Theorem for Binomial Random Variables

Published on 25 Mar 2026 - 23:15

List Question

if a characteristic function is constant on a interval then is constant in all R.

Characteristic Function of Gamma Distributed Random Variables

How to integrate moving Heaviside block?

Why $|e^{itx}| = 1$?

$X_n$ ~ $\Gamma(n,n)$, find the limit in Law of $X_n$

Show that $\psi(t)=e^{\lambda (\varphi(t)-1)}$ is infinitely divisble for any characteristic function $\varphi$

Proving that if $\varphi(t)$ is an infinitely divisible characteristic function then $|\varphi(t)|$ as well

characteristic function of $WX$ where $W$ and $X$ are independent standard normal random variables

If $X_n$ is Gamma $(n,\lambda)$ distributed then $(\lambda X_n -n)/\sqrt n\to N(0,1)$

Characteristic function of normal distribution with complex parameter

Characteristic function of independent Poisson random variables

Finding characteristic function then density function is given

Showing $1-\Re \varphi(2t)\leq 4(1-\Re \varphi(t)) $

Showing $ \mathbb{P}\Big( \frac{\Pi - \lambda}{\sqrt{\lambda}}\leq x \Big) $

General Central Limit Theorem for Binomial Random Variables

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