List questions from probability-limit-theorems

Published on 03 Oct 2015 - 19:33

45

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Asymptotic cumulative distributive function

Published on 05 Oct 2015 - 16:41

1k

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Assume $A,B,C,D$ are pairwise independent events. Decide if $A\cap B$ and $B\cap D$ are independent

Published on 07 Oct 2015 - 6:11

101

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Maximum of independent non identically rv & asymptotic behavior

Published on 07 Oct 2015 - 13:33

555

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A very silly question about the Erdos-Kac theorem

Published on 23 Mar 2026 - 23:32

102

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Asymptotic local limit theorem and applications in analytic number theory

Published on 13 Oct 2015 - 4:37

156

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On the asymptotics on LASSO-Type estimator

Published on 22 Mar 2026 - 10:28

658

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Prove $\limsup n^{-1/\alpha} |X_1+\ldots+X_n|=\infty$ for an iid sequence $(X_n)_{n \in \mathbb{N}}$ with $\mathbb{E}(|X_1|^{\alpha})=\infty$

Published on 24 Mar 2026 - 16:01

39

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Convergence of sequence of RVs converging in probability

Published on 26 Feb 2026 - 13:11

164

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Independence of Fractional and Integer parts of sum of random variables

Published on 27 Feb 2026 - 21:27

1k

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Generalized law of large numbers

Published on 29 Mar 2026 - 11:46

114

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Convergence of series of random variables converging in probability

Published on 26 Mar 2026 - 3:51

412

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Does $\frac{X_n}{Y_n}\xrightarrow[]{p}0$ if $Y_n$ converges in probability to infinity?

Published on 24 Oct 2015 - 12:54

57

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An application on central limit theorem

Published on 28 Oct 2015 - 20:43

9.7k

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Probability and measure theory

Published on 18 Mar 2026 - 7:18

List Question

random variables equal in distribution

Asymptotic cumulative distributive function

Assume $A,B,C,D$ are pairwise independent events. Decide if $A\cap B$ and $B\cap D$ are independent

Maximum of independent non identically rv & asymptotic behavior

A very silly question about the Erdos-Kac theorem

Asymptotic local limit theorem and applications in analytic number theory

On the asymptotics on LASSO-Type estimator

Prove $\limsup n^{-1/\alpha} |X_1+\ldots+X_n|=\infty$ for an iid sequence $(X_n)_{n \in \mathbb{N}}$ with $\mathbb{E}(|X_1|^{\alpha})=\infty$

Convergence of sequence of RVs converging in probability

Independence of Fractional and Integer parts of sum of random variables

Generalized law of large numbers

Convergence of series of random variables converging in probability

Does $\frac{X_n}{Y_n}\xrightarrow[]{p}0$ if $Y_n$ converges in probability to infinity?

An application on central limit theorem

Probability and measure theory

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