List questions from characteristic-functions

Published on 26 Dec 2021 - 9:01

185

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Weak convergence of a sequence $(f_n) \subset L^2(\mathbb{R})$ and convergence of $\chi_n f_n$

Published on 03 Jan 2022 - 17:50

122

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Show that : $1 - |\phi(t)| \ge \frac{1-|\phi(2t)|}{4}$

Published on 08 Jan 2022 - 6:15

91

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$Y_n = \frac{X_n - n}{\sqrt{n}} $, Levy's continuity theorem

Published on 16 Jan 2022 - 2:53

46

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Find the characteristic polynomial of the matrix $M$ in terms of characteristic polynomial of $N$.

Published on 16 Jan 2022 - 7:17

101

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Mean and characteristic function of $Y=\sum_{n=1}^{\infty}\prod_{k=1}^{n}X_k$

Published on 21 Jan 2022 - 16:06

71

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Show $\mu(A)= \alpha \int_A x^2 dF(x)$ for a compound Poisson process

Published on 22 Jan 2022 - 13:41

79

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Characteristic function of a random variable: what is the argument/input?

Published on 22 Jan 2022 - 15:47

72

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Poisson sum is a mixture model?

Published on 22 Jan 2022 - 23:44

43

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Why are characteristic functions are not continuous on set C[0,4]?

Published on 30 Jan 2022 - 13:21

126

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The characteristic function of $X_t$ in a AR(1) process

Published on 30 Mar 2026 - 15:13

87

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How to compute the derivatives of multivariate Gaussian expectations with respect to mean and covariance using characteristic functions?

Published on 14 Feb 2022 - 9:09

48

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Any idea on how to compute this integral?

Published on 16 Feb 2022 - 11:38

48

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Uniqueness of probability distributions

Published on 22 Feb 2022 - 5:59

148

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Plot characteristic curves for Initial value problem

Published on 31 Mar 2026 - 17:30

List Question

How can I get distribution function from characteristic function?

Weak convergence of a sequence $(f_n) \subset L^2(\mathbb{R})$ and convergence of $\chi_n f_n$

Show that : $1 - |\phi(t)| \ge \frac{1-|\phi(2t)|}{4}$

$Y_n = \frac{X_n - n}{\sqrt{n}} $, Levy's continuity theorem

Find the characteristic polynomial of the matrix $M$ in terms of characteristic polynomial of $N$.

Mean and characteristic function of $Y=\sum_{n=1}^{\infty}\prod_{k=1}^{n}X_k$

Show $\mu(A)= \alpha \int_A x^2 dF(x)$ for a compound Poisson process

Characteristic function of a random variable: what is the argument/input?

Poisson sum is a mixture model?

Why are characteristic functions are not continuous on set C[0,4]?

The characteristic function of $X_t$ in a AR(1) process

How to compute the derivatives of multivariate Gaussian expectations with respect to mean and covariance using characteristic functions?

Any idea on how to compute this integral?

Uniqueness of probability distributions

Plot characteristic curves for Initial value problem

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