Question

Is measurable function possible in discrete metric space?

score 263 · Answer 1 · 2026-03-31 14:12:31

263

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Is measurable function possible in discrete metric space?

Published on 31 Mar 2026 - 14:12

score 54 · Answer 2 · 2020-12-04 22:27:34

54

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Characteristic function - how to guess distribution

Published on 04 Dec 2020 - 22:27

score 579 · Answer 3 · 2026-02-25 15:01:26

579

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Why does $\chi_{(n,n+1)}$ converge pointwise to the zero function?

Published on 25 Feb 2026 - 15:01

score 38 · Answer 4 · 2020-12-07 19:44:35

38

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semi positiveness of characteristic function

Published on 07 Dec 2020 - 19:44

score 60 · Answer 5 · 2020-12-08 16:48:46

60

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Determine the characteristic function of $X=\sum_{n=1}^{N} Y_{n}$, with $N \sim P(\lambda)$ and $Y_{i}$ i.i.d random variables

Published on 08 Dec 2020 - 16:48

score 39 · Answer 6 · 2020-12-09 15:01:37

39

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Deciding whether these functions are characteristic functions without Bochner's theorem

Published on 09 Dec 2020 - 15:01

score 441 · Answer 7 · 2020-12-09 15:52:17

441

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Characteristic function of sum with random amount of terms.

Published on 09 Dec 2020 - 15:52

score 21 · Answer 8 · 2020-12-10 14:32:55

21

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How to show that $E(\lvert e^{itY_n}-e^{itc}\rvert)$ goes to $0$ where $Y_n\xrightarrow{p}c$

Published on 10 Dec 2020 - 14:32

score 81 · Answer 9 · 2020-12-10 21:29:00

81

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How to find out if this function is characteristic

Published on 10 Dec 2020 - 21:29

score 162 · Answer 10 · 2020-12-11 17:23:38

162

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Is this a characteristic function? Why (not)?

Published on 11 Dec 2020 - 17:23

score 119 · Answer 11 · 2020-12-13 03:57:10

119

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If $X_1,X_2,\dots$ are independent, $S_n=X_1+\cdots+X_n$ and $S_n\to S_\infty$ a.s., $\varphi_{S_\infty}(t)=\prod_{j=1}^\infty\varphi_{X_j}(t)$

Published on 13 Dec 2020 - 3:57

score 556 · Answer 12 · 2026-03-31 07:26:13

556

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Why the moment-generating function does not always exist

Published on 31 Mar 2026 - 7:26

score 515 · Answer 13 · 2026-02-24 01:52:08

515

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How to prove the sum of 2 Gaussian distribution is also a Gaussian distribution using the characteristic function

Published on 24 Feb 2026 - 1:52

score 378 · Answer 14 · 2021-01-04 23:40:30

378

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Necessary and sufficient condition for having a density in $L^2$

Published on 04 Jan 2021 - 23:40

score 125 · Answer 15 · 2021-01-05 15:39:15

125

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Uniform convergence of characteristic functions by integrating by parts

Published on 05 Jan 2021 - 15:39

List Question

Is measurable function possible in discrete metric space?

Characteristic function - how to guess distribution

Why does $\chi_{(n,n+1)}$ converge pointwise to the zero function?

semi positiveness of characteristic function

Determine the characteristic function of $X=\sum_{n=1}^{N} Y_{n}$, with $N \sim P(\lambda)$ and $Y_{i}$ i.i.d random variables

Deciding whether these functions are characteristic functions without Bochner's theorem

Characteristic function of sum with random amount of terms.

How to show that $E(\lvert e^{itY_n}-e^{itc}\rvert)$ goes to $0$ where $Y_n\xrightarrow{p}c$

How to find out if this function is characteristic

Is this a characteristic function? Why (not)?

If $X_1,X_2,\dots$ are independent, $S_n=X_1+\cdots+X_n$ and $S_n\to S_\infty$ a.s., $\varphi_{S_\infty}(t)=\prod_{j=1}^\infty\varphi_{X_j}(t)$

Why the moment-generating function does not always exist

How to prove the sum of 2 Gaussian distribution is also a Gaussian distribution using the characteristic function

Necessary and sufficient condition for having a density in $L^2$

Uniform convergence of characteristic functions by integrating by parts

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