Question

Characteristic Function of a Double Exponential (Laplace) Distribution

score 2.5k · Answer 1 · 2013-11-04 13:21:18

2.5k

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Characteristic Function of a Double Exponential (Laplace) Distribution

Published on 04 Nov 2013 - 13:21

score 2.1k · Answer 2 · 2013-11-04 14:00:09

2.1k

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Showing the expectation of the third moment of a sum = the sum of the expectation of the third moment

Published on 04 Nov 2013 - 14:00

score 365 · Answer 3 · 2013-11-05 04:15:31

365

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Characteristic function of an r.v. with finite variance and zero mean.

Published on 05 Nov 2013 - 4:15

score 68 · Answer 4 · 2013-11-05 05:24:42

68

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Even numbered moments of N(0,1) using characteristic functions

Published on 05 Nov 2013 - 5:24

score 95 · Answer 5 · 2013-11-06 01:13:32

95

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Limit of the expectation of the sum

Published on 06 Nov 2013 - 1:13

score 2.7k · Answer 6 · 2013-11-07 20:02:30

2.7k

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$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$

Published on 07 Nov 2013 - 20:02

score 107 · Answer 7 · 2013-11-09 19:51:25

107

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What is the meaning of $1_{a>b}$?

Published on 09 Nov 2013 - 19:51

score 729 · Answer 8 · 2013-11-10 18:18:04

729

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Let X, Y be i.i.d, X+Y and X-Y independent, show that the characteristic function E{exp(i<2u,x>)}= ...

Published on 10 Nov 2013 - 18:18

score 56 · Answer 9 · 2013-11-11 00:57:04

56

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Show that $|1-\varphi_X (u)|\leq E\{ |uX| \}$

Published on 11 Nov 2013 - 0:57

score 196 · Answer 10 · 2013-11-11 19:05:00

196

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How does what I did imply that $X$ is Normal $N(0,1)$?

Published on 11 Nov 2013 - 19:05

score 109 · Answer 11 · 2013-11-12 14:35:35

109

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Possible values of characteristic functions (Fourier transforms)

Published on 12 Nov 2013 - 14:35

score 546 · Answer 12 · 2013-11-17 04:28:17

546

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Show that $\frac{1}{n}\sum_{j=1}^{n}X_{j}$ is Cauchy distributed when the $X_{i}$ are all Cauchy

Published on 17 Nov 2013 - 4:28

score 71 · Answer 13 · 2013-11-17 05:55:17

71

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What would be the simplified form of this expression?

Published on 17 Nov 2013 - 5:55

score 722 · Answer 14 · 2013-11-19 05:31:35

722

Views

Characteristic function characterize the distribution

Published on 19 Nov 2013 - 5:31

score 84 · Answer 15 · 2013-11-20 03:17:22

84

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$\mathscr{B}$-matrix of T and Characteristic Polynomial

Published on 20 Nov 2013 - 3:17

List Question

Characteristic Function of a Double Exponential (Laplace) Distribution

Showing the expectation of the third moment of a sum = the sum of the expectation of the third moment

Characteristic function of an r.v. with finite variance and zero mean.

Even numbered moments of N(0,1) using characteristic functions

Limit of the expectation of the sum

$X$ and $Y$ i.i.d., $X+Y$ and $X-Y$ independent, $\mathbb{E}(X)=0 $ and $\mathbb{E}(X^2)=1$. Show $X \sim N(0,1)$

What is the meaning of $1_{a>b}$?

Let X, Y be i.i.d, X+Y and X-Y independent, show that the characteristic function E{exp(i<2u,x>)}= ...

Show that $|1-\varphi_X (u)|\leq E\{ |uX| \}$

How does what I did imply that $X$ is Normal $N(0,1)$?

Possible values of characteristic functions (Fourier transforms)

Show that $\frac{1}{n}\sum_{j=1}^{n}X_{j}$ is Cauchy distributed when the $X_{i}$ are all Cauchy

What would be the simplified form of this expression?

Characteristic function characterize the distribution

$\mathscr{B}$-matrix of T and Characteristic Polynomial

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