List questions from characteristic-functions

Published on 17 Jan 2016 - 15:17

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Characteristic function and moment generating function: differentiating under the integral

Published on 29 Mar 2026 - 15:30

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A random variable is symmetric if and only if its characteristic function is real-valued

Published on 25 Jan 2016 - 13:55

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The partial derivative of a characteristic function (exercise).

Published on 26 Jan 2016 - 7:20

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Probability with Indicators Textbooks

Published on 29 Jan 2016 - 19:34

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Solve IVP with the method of characteristics (quasilinear PDE) (+shockwaves)

Published on 28 Mar 2026 - 12:49

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If the characteristic polynomial of $A,B$ is the same does it mean that $A,B$ are similar?

Published on 06 Feb 2016 - 19:43

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If $A$ is unitary and $f_A(x)=f_B(x)$ and $m_A(x)=m_B(x)$ then $A$ is similar to $B$

Published on 07 Feb 2016 - 13:34

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Calculate the characteristic function $\varphi_W$ of W

Published on 09 Feb 2016 - 12:35

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Calculate characteristic function

Published on 09 Feb 2016 - 16:30

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Prove that $u^{-1}\int_{-u}^u(1-\varphi(t))dt\to 0$ as $u\to 0$

Published on 19 Feb 2016 - 13:33

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Convergent sequence of characteristic functions with continuous integrable limit.

Published on 26 Feb 2016 - 8:18

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Characteristic functions, show that $\mathrm{E}[X_1 + X_2 +...+X_n]^3 = \mathrm{E}[X_1^3] +...+\mathrm{E}[X_n^3]$ when $\mathrm{E}[X] = 0$

Published on 07 Mar 2016 - 10:12

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Finding the odometer function of an abelian sandpile

Published on 28 Mar 2026 - 2:26

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Characteristic functions of infinite dimensional random elements

Published on 13 Mar 2016 - 10:00

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Proofs of some characteristic function properties

Characteristic function and moment generating function: differentiating under the integral

A random variable is symmetric if and only if its characteristic function is real-valued

The partial derivative of a characteristic function (exercise).

Probability with Indicators Textbooks

Solve IVP with the method of characteristics (quasilinear PDE) (+shockwaves)

If the characteristic polynomial of $A,B$ is the same does it mean that $A,B$ are similar?

If $A$ is unitary and $f_A(x)=f_B(x)$ and $m_A(x)=m_B(x)$ then $A$ is similar to $B$

Calculate the characteristic function $\varphi_W$ of W

Calculate characteristic function

Prove that $u^{-1}\int_{-u}^u(1-\varphi(t))dt\to 0$ as $u\to 0$

Convergent sequence of characteristic functions with continuous integrable limit.

Characteristic functions, show that $\mathrm{E}[X_1 + X_2 +...+X_n]^3 = \mathrm{E}[X_1^3] +...+\mathrm{E}[X_n^3]$ when $\mathrm{E}[X] = 0$

Finding the odometer function of an abelian sandpile

Characteristic functions of infinite dimensional random elements

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