List questions from characteristic-functions

Published on 26 Mar 2026 - 12:34

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Evaluation of integral $\int_{-\infty}^{\infty} e^{itx} \frac{1- e^{-\frac 1 2 t^2}}{\frac 1 2 t^2} \text d t$ / specific characteristic Function

Published on 22 Mar 2026 - 3:12

122

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Convergence of a countable sum of characteristic functions of half-open intervals with coefficients

Published on 22 Mar 2026 - 1:55

40

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Reference for a (non-standard) table of characteristic functions

Published on 22 Mar 2026 - 5:38

54

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Constructing a Characteristic function

Published on 21 Mar 2026 - 16:42

68

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Characteristic functions and distribution

Published on 22 Mar 2026 - 14:50

120

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$h(x)=\int_{\mathbb{R}}\phi(x,y)f(y)\,\mathrm dy$ is a characteristic function

Published on 21 Mar 2026 - 21:10

70

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Probability Theory – Interesting Theoretical Task!!

Published on 21 Mar 2026 - 23:18

87

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characteristic function of some random variables

Published on 22 Mar 2026 - 0:40

126

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Difference between characteristic function and F_transform

Published on 22 Mar 2026 - 4:05

66

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Characteristical polynomial of a multi-step process

Published on 21 Mar 2026 - 17:48

408

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Raikov's theorem and shifted Poisson distributions

Published on 21 Mar 2026 - 16:18

1.3k

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Connection between distribution and characteristic function.

Published on 22 Mar 2026 - 9:00

23

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If $f$ is invertible in $A \subset M$, $\lim_n \sum_{x \in f^{-1}(y)} g_n (y) = \chi_{f(A)}(y)$?

Published on 22 Mar 2026 - 9:57

62

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Show that $S_n = X_1 + X_2 +\dots + X_n$ satisfies the Law of Large Numbers

Published on 21 Mar 2026 - 20:37

List Question

Proving that the intersection of closed convex sets is nonempty

Evaluation of integral $\int_{-\infty}^{\infty} e^{itx} \frac{1- e^{-\frac 1 2 t^2}}{\frac 1 2 t^2} \text d t$ / specific characteristic Function

Convergence of a countable sum of characteristic functions of half-open intervals with coefficients

Reference for a (non-standard) table of characteristic functions

Constructing a Characteristic function

Characteristic functions and distribution

$h(x)=\int_{\mathbb{R}}\phi(x,y)f(y)\,\mathrm dy$ is a characteristic function

Probability Theory – Interesting Theoretical Task!!

characteristic function of some random variables

Difference between characteristic function and F_transform

Characteristical polynomial of a multi-step process

Raikov's theorem and shifted Poisson distributions

Connection between distribution and characteristic function.

If $f$ is invertible in $A \subset M$, $\lim_n \sum_{x \in f^{-1}(y)} g_n (y) = \chi_{f(A)}(y)$?

Show that $S_n = X_1 + X_2 +\dots + X_n$ satisfies the Law of Large Numbers

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