Question

$\phi(t)=\sqrt{1-t^2} \ $ if $|t|<1$ and $\phi(t)=0$ if $|t| \geq 1.$ Prove that $\phi(t)$ is not a characteristic function

score 127 · Answer 1 · 2026-03-29 13:47:23

127

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$\phi(t)=\sqrt{1-t^2} \ $ if $|t|<1$ and $\phi(t)=0$ if $|t| \geq 1.$ Prove that $\phi(t)$ is not a characteristic function

Published on 29 Mar 2026 - 13:47

score 52 · Answer 2 · 2023-12-24 14:48:26

52

Views

Exchange differentiation with integration: $E[f'(X)/f(X)X]$

Published on 24 Dec 2023 - 14:48

score 22 · Answer 3 · 2026-02-23 09:09:18

22

Views

Tsiatis Semiparametric Theory Chapter 2 Exercise 3(b) Use Change of Variable to Get a NEW Probability Density

Published on 23 Feb 2026 - 9:09

score 69 · Answer 4 · 2023-12-29 07:29:17

69

Views

How to find the probability density function of a random variable that is related to another random variable?

Published on 29 Dec 2023 - 7:29

score 113 · Answer 5 · 2026-03-28 20:06:16

113

Views

Prove $\frac{e^{t_xX_1}}{\varphi(t_x)}$ is a probability density function

Published on 28 Mar 2026 - 20:06

score 70 · Answer 6 · 2024-01-02 08:55:34

70

Views

Probability density function satisfying $\lim_{x\to \infty} xf(x) = \lim_{x\to -\infty} xf(x) $

Published on 02 Jan 2024 - 8:55

score 103 · Answer 7 · 2026-03-25 23:58:42

103

Views

Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$

Published on 25 Mar 2026 - 23:58

score 41 · Answer 8 · 2024-01-08 19:42:39

41

Views

Mass of solid in 3 dimensions

Published on 08 Jan 2024 - 19:42

score 24 · Answer 9 · 2026-03-25 12:19:24

24

Views

Analyzing Point Distributions in Voronoi Tessellations from Two Probability Sources $p$ and $\tilde{p}$

Published on 25 Mar 2026 - 12:19

score 52 · Answer 10 · 2026-03-25 22:09:47

52

Views

When is $\overline{d}(A \cap A/2)>0$?

Published on 25 Mar 2026 - 22:09

score 36 · Answer 11 · 2024-01-15 07:27:18

36

Views

Understanding the following CDF expression

Published on 15 Jan 2024 - 7:27

score 44 · Answer 12 · 2024-01-15 12:48:06

44

Views

Formula related with the partition theorem

Published on 15 Jan 2024 - 12:48

score 65 · Answer 13 · 2024-01-16 02:44:42

65

Views

How do you determine the amount of mass for both a solid and diffuse object?

Published on 16 Jan 2024 - 2:44

score 49 · Answer 14 · 2026-03-26 12:34:43

49

Views

Integral involving the CDF of a normal and a nonlinear function

Published on 26 Mar 2026 - 12:34

score 31 · Answer 15 · 2024-01-19 09:49:15

31

Views

Distribution Function Symbol Problem

Published on 19 Jan 2024 - 9:49

List Question

$\phi(t)=\sqrt{1-t^2} \ $ if $|t|<1$ and $\phi(t)=0$ if $|t| \geq 1.$ Prove that $\phi(t)$ is not a characteristic function

Exchange differentiation with integration: $E[f'(X)/f(X)X]$

Tsiatis Semiparametric Theory Chapter 2 Exercise 3(b) Use Change of Variable to Get a NEW Probability Density

How to find the probability density function of a random variable that is related to another random variable?

Prove $\frac{e^{t_xX_1}}{\varphi(t_x)}$ is a probability density function

Probability density function satisfying $\lim_{x\to \infty} xf(x) = \lim_{x\to -\infty} xf(x) $

Find the density of random variable $X+Y$ for $f(x,y) = 6(x-y)$ if $0 \leq y \leq x \leq 1$

Mass of solid in 3 dimensions

Analyzing Point Distributions in Voronoi Tessellations from Two Probability Sources $p$ and $\tilde{p}$

When is $\overline{d}(A \cap A/2)>0$?

Understanding the following CDF expression

Formula related with the partition theorem

How do you determine the amount of mass for both a solid and diffuse object?

Integral involving the CDF of a normal and a nonlinear function

Distribution Function Symbol Problem

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