List questions from probability-limit-theorems

Published on 30 Jan 2024 - 4:27

50

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Large Deviation Inequality with a Gaussian type bound

Published on 25 Mar 2026 - 17:30

97

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What is the probability a random integer $x$ when divided by $3$ has a remainder smaller than when $x$ is divided by $9$? without monte-carlo.

Published on 27 Mar 2026 - 16:53

35

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Random bounded triangular $T_n$ s.t. $Var[T_nS_nT_n^\top]\to 0$ for nonrandom psd $S_n$. Does $(T_n-\bar T_n)S_n\to^P0$ for some nonradom $\bar T_n$?

Published on 25 Mar 2026 - 11:21

36

Views

Proving convergence in prob of $X_n = X = Y_n$ using Markov's inequality.

Published on 12 Feb 2024 - 7:43

533

Views

Klenke's proof of Slutzky's Theorem

Published on 12 Feb 2024 - 18:35

149

Views

Bound on expected norm of the difference between the sample mean $\bar{X_n}$ and population mean $\mu$ as a function of the sample size $n$ for LLN?

Published on 26 Mar 2026 - 6:34

141

Views

Weak convergence of Hilbert-space valued stochastic process

Published on 25 Feb 2024 - 0:10

35

Views

Convergence of positive random vector

Published on 26 Mar 2026 - 14:19

47

Views

Almost sure convergence of $\sum\limits_{1 \leq i < j \leq n} X_i X_j$

Published on 28 Feb 2024 - 3:24

27

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Limiting distribution of harmonic sample means of i.i.d. $U(0,1)$s after appropriate scaling.

Published on 28 Feb 2024 - 13:08

28

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limit of convergane in probability

Published on 26 Mar 2026 - 14:19

27

Views

Infinite divisibility and Gaussian random variables

Published on 07 Mar 2024 - 20:27

44

Views

Improved Measure Concentration for small variance random variables.

Published on 27 Mar 2026 - 21:05

39

Views

Two coins, each with P(Head)$\to 0$ as $n\to\infty,$ where $n=n-$th coin toss. Under what conditions is P(both coins Head) infinite times $<1?$

Published on 18 Mar 2024 - 20:07

List Question

Do quantiles of quantiles converge to quantiles?

Large Deviation Inequality with a Gaussian type bound

What is the probability a random integer $x$ when divided by $3$ has a remainder smaller than when $x$ is divided by $9$? without monte-carlo.

Random bounded triangular $T_n$ s.t. $Var[T_nS_nT_n^\top]\to 0$ for nonrandom psd $S_n$. Does $(T_n-\bar T_n)S_n\to^P0$ for some nonradom $\bar T_n$?

Proving convergence in prob of $X_n = X = Y_n$ using Markov's inequality.

Klenke's proof of Slutzky's Theorem

Bound on expected norm of the difference between the sample mean $\bar{X_n}$ and population mean $\mu$ as a function of the sample size $n$ for LLN?

Weak convergence of Hilbert-space valued stochastic process

Convergence of positive random vector

Almost sure convergence of $\sum\limits_{1 \leq i < j \leq n} X_i X_j$

Limiting distribution of harmonic sample means of i.i.d. $U(0,1)$s after appropriate scaling.

limit of convergane in probability

Infinite divisibility and Gaussian random variables

Improved Measure Concentration for small variance random variables.

Two coins, each with P(Head)$\to 0$ as $n\to\infty,$ where $n=n-$th coin toss. Under what conditions is P(both coins Head) infinite times $<1?$

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