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continuous functions above and below a characteristic function

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#real-analysis #integration #continuity #riemann-integration #characteristic-functions
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Can someone find a (two-sided) inverse function to the characteristic function χ? given...

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#inverse #characteristic-functions
1.5k
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Expected value in term of characteristic function

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#integration #probability-theory #measure-theory #expected-value #characteristic-functions
80
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"composition" of two characteristic functions

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#probability-theory #characteristic-functions
184
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Express $\mathbb{E}(|X|)$ using characteristic function of $X$

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#probability #integration #characteristic-functions
209
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Characteristic function of a random variable with absolute value in its density function

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#probability #probability-theory #characteristic-functions
654
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Tail Lower Bounds using Moment Generating Functions

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#probability #fourier-analysis #characteristic-functions #moment-generating-functions #distribution-tails
65
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Question on convergence of indicator functions by means of Hausdorff distance convergence of the sets

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#functional-analysis #convergence-divergence #characteristic-functions #hausdorff-distance
86
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Identical distributions

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#probability-distributions #random-variables #independence #characteristic-functions
26
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Showing that a particular sequence of random variables converges weakly

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#probability-theory #probability-limit-theorems #characteristic-functions
64
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If $\mathbb{E}[X^n] =\mathbb{E}[Y^n] $ then $\varphi_X = \varphi_Y$

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#probability #probability-theory #inequality #characteristic-functions #moment-problem
21
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Show normality of a process.

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#random-variables #expected-value #brownian-motion #characteristic-functions #gaussian
257
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What does the limit of the characteristic function $\varphi(x)\xrightarrow{\lvert x\rvert\rightarrow \infty} 0$ tell us about $\mu(\{a\})$?

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#probability #probability-theory #measure-theory #characteristic-functions
63
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If $\lvert\varphi(t_0)\rvert=1$ holds for the characteristic function, then $P(X\in a+\frac{2\pi}{t_0} \mathbb{Z}) = 1$

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#probability #probability-theory #probability-distributions #characteristic-functions
143
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Is continuous and measurable function possible in discrete metric space?

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#general-topology #measure-theory #continuity #metric-spaces #characteristic-functions

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