Question

Check my work: Find almost sure limit of product of uniform distributions

score 70 · Answer 1 · 2023-12-20 20:46:31

70

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Check my work: Find almost sure limit of product of uniform distributions

Published on 20 Dec 2023 - 20:46

score 133 · Answer 2 · 2023-12-22 12:21:32

133

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Central limit theorem: negative moments

Published on 22 Dec 2023 - 12:21

score 120 · Answer 3 · 2026-02-23 15:29:10

120

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Uniform Integrability and relative compactness

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score 50 · Answer 4 · 2024-01-02 21:00:34

50

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In a finite measure space, uniform integrability implies $L^p$ bounded?

Published on 02 Jan 2024 - 21:00

score 72 · Answer 5 · 2024-01-12 05:30:55

72

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Let $(X, \mathcal M, \mu)$ be a finite measure space. If $f_n, f$ are $L^1$ functions, $f_n$ unif. integrable, $f_n \to f$, then $f_n \to f$ in $L^1$

Published on 12 Jan 2024 - 5:30

score 18 · Answer 6 · 2024-01-13 09:31:42

18

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weak convergence imply expectation $\le$ lower limit of sequence expectation

Published on 13 Jan 2024 - 9:31

score 55 · Answer 7 · 2024-02-22 23:39:08

55

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KL-divergence, total variation distance and weak convergence against unbounded functions

Published on 22 Feb 2024 - 23:39

score 82 · Answer 8 · 2024-03-02 14:08:42

82

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Convergence in $\mathscr{L}^1$ implies uniform integrability?

Published on 02 Mar 2024 - 14:08

score 51 · Answer 9 · 2024-03-23 20:13:17

51

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Show that $\mathbb E(X_n) \xrightarrow{n \to \infty} \mathbb E(X)$ using the following decomposition.

Published on 23 Mar 2024 - 20:13

score 16 · Answer 10 · 2024-03-27 07:00:00

16

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If $C_1$ and $C_2$ are uniformly integrable then $\{f_1+f_2:f_1\in C_1, f_2\in C_2\}$ is?

Published on 27 Mar 2024 - 7:00

score 15 · Answer 11 · 2026-02-23 15:49:51

15

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almost sure convergence of positive random variables with bounded expectation implies uniform integrability?

Published on 23 Feb 2026 - 15:49

score 2.2k · Answer 12 · 2015-01-04 19:50:17

2.2k

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Convergence in $L^1$ and uniform integrability

Published on 04 Jan 2015 - 19:50

score 2.7k · Answer 13 · 2015-01-18 11:24:09

2.7k

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Uniformly integrable martingales and stopping time

Published on 18 Jan 2015 - 11:24

score 162 · Answer 14 · 2015-01-28 23:35:30

162

Views

Uniform integrability of specific sequence of RV

Published on 28 Jan 2015 - 23:35

score 588 · Answer 15 · 2015-02-08 01:24:49

588

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Product of two uniformly square integrable random variables

Published on 08 Feb 2015 - 1:24

List Question

Check my work: Find almost sure limit of product of uniform distributions

Central limit theorem: negative moments

Uniform Integrability and relative compactness

In a finite measure space, uniform integrability implies $L^p$ bounded?

Let $(X, \mathcal M, \mu)$ be a finite measure space. If $f_n, f$ are $L^1$ functions, $f_n$ unif. integrable, $f_n \to f$, then $f_n \to f$ in $L^1$

weak convergence imply expectation $\le$ lower limit of sequence expectation

KL-divergence, total variation distance and weak convergence against unbounded functions

Convergence in $\mathscr{L}^1$ implies uniform integrability?

Show that $\mathbb E(X_n) \xrightarrow{n \to \infty} \mathbb E(X)$ using the following decomposition.

If $C_1$ and $C_2$ are uniformly integrable then $\{f_1+f_2:f_1\in C_1, f_2\in C_2\}$ is?

almost sure convergence of positive random variables with bounded expectation implies uniform integrability?

Convergence in $L^1$ and uniform integrability

Uniformly integrable martingales and stopping time

Uniform integrability of specific sequence of RV

Product of two uniformly square integrable random variables

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