User Clement C.

27 votes

4 answers

3k views

Rate of convergence of $\frac{1}{\sqrt{n\ln n}}(\sum_{k=1}^n 1/\sqrt{X_k}-2n)$, $X_i$ i.i.d. uniform on $[0,1]$?

asked Mar 21, 2018 at 16:19

13 votes

0 answers

338 views

Convergence of the series $\sum_{n=1}^\infty \frac{(2+\sin n)^n}{3^n n^a}$ for $a\in(0,1)$

asked Nov 28, 2021 at 8:32

12 votes

0 answers

525 views

A measure of non-uniformity of a vector/probability distribution?

asked Jun 12, 2020 at 17:02

11 votes

1 answer

2k views

Biased random Fibonacci sequences

asked Nov 7, 2020 at 23:35

9 votes

3 answers

2k views

Reference on (discrete) log-concave probability distributions

asked Mar 6, 2015 at 21:02

9 votes

1 answer

403 views

Bounds on the expectation of $|X-Y|$ for $X,Y$ Poisson

asked Jun 25, 2021 at 4:28

8 votes

2 answers

859 views

Stochastic dominance between (products of) binomials

asked Oct 9, 2021 at 10:36

6 votes

0 answers

268 views

Question about size-biased couplings and concentration of the number of collisions

asked May 6, 2021 at 7:39

6 votes

1 answer

3k views

Concentration bounds on weighted sum of i.i.d. Bernoulli random variables

asked Jun 9, 2016 at 21:05

5 votes

2 answers

863 views

Birthday problem with unequal probability: expected number of draws before the $m$-th collision?

asked Feb 28, 2017 at 20:41

5 votes

1 answer

249 views

Relation between two different functionals: $\lVert p^{-\max}_{-\varepsilon}\rVert$ and $\kappa_{p}^{-1}(1-\varepsilon)$

asked May 20, 2019 at 23:20

5 votes

2 answers

880 views

Subgaussian norm of a symmetric $\{-1,0,1\}$ random variable

asked Jul 30, 2023 at 9:02

4 votes

3 answers

359 views

Maximum of independent, unit-variance Gaussians with non-zero means

asked Nov 27, 2019 at 19:01

4 votes

2 answers

501 views

Bounding an expectation involving i.i.d. standard Gaussians and Rademacher

asked Feb 23, 2020 at 2:03

4 votes

1 answer

385 views

Expectation of exponential of a function of independent Rademacher r.v.'s involving the error function

asked Nov 19, 2018 at 22:17

3 votes

1 answer

354 views

A question of Ahlswede and Katona: known lower bounds on $\beta(d,n)$?

asked Dec 17, 2018 at 19:16

3 votes

1 answer

385 views

Inequality on the Hellinger distance between Poisson and mixture of Poisson

asked Apr 23, 2020 at 19:39

2 votes

1 answer

283 views

Distribution of a stopped random sum, with subexponential stopping time

asked May 29, 2020 at 20:30

2 votes

0 answers

95 views

Distribution of weighted sum of non-central chi-squared r.v.'s: log-concave?

asked Feb 1, 2019 at 17:36

2 votes

0 answers

182 views

Measure change bound for function of subgaussian r.v

asked Feb 8, 2019 at 6:50

2 votes

1 answer

104 views

How to efficiently sample uniformly from the set of $p$-equipartitions of an $n$-set?

asked Mar 7, 2019 at 2:34

2 votes

0 answers

181 views

Properties of the optimal decomposition for the $K$-functional between $\ell_1$ and $\ell_2$

asked Sep 2, 2016 at 21:01

2 votes

0 answers

121 views

Finding a hidden “heavy” subset of random variables

asked Aug 17, 2015 at 23:33

1 vote

0 answers

53 views

Asymptotics of $K$-functional between $\ell_1$ and $\ell_2$ for a specific sequence

asked Jun 5, 2017 at 14:44

1 vote

0 answers

153 views

Relation between the class $\mathcal{M}(m,\sigma)$ and subgaussianity

asked Feb 6, 2021 at 21:27

0 votes

0 answers

89 views

$\sum_{a\in A} r(a)$, where $A\subseteq\mathbb{Z}_n$ and $r(a)$ is the number of representations of $a$ as sum of two elements from $A$

asked Jan 28, 2014 at 17:03

Stack Exchange Network

26 Questions

Rate of convergence of $\frac{1}{\sqrt{n\ln n}}(\sum_{k=1}^n 1/\sqrt{X_k}-2n)$, $X_i$ i.i.d. uniform on $[0,1]$?

Convergence of the series $\sum_{n=1}^\infty \frac{(2+\sin n)^n}{3^n n^a}$ for $a\in(0,1)$

A measure of non-uniformity of a vector/probability distribution?

Biased random Fibonacci sequences

Reference on (discrete) log-concave probability distributions

Bounds on the expectation of $|X-Y|$ for $X,Y$ Poisson

Stochastic dominance between (products of) binomials

Question about size-biased couplings and concentration of the number of collisions

Concentration bounds on weighted sum of i.i.d. Bernoulli random variables

Birthday problem with unequal probability: expected number of draws before the $m$-th collision?

Relation between two different functionals: $\lVert p^{-\max}_{-\varepsilon}\rVert$ and $\kappa_{p}^{-1}(1-\varepsilon)$

Subgaussian norm of a symmetric $\{-1,0,1\}$ random variable

Maximum of independent, unit-variance Gaussians with non-zero means

Bounding an expectation involving i.i.d. standard Gaussians and Rademacher

Expectation of exponential of a function of independent Rademacher r.v.'s involving the error function

A question of Ahlswede and Katona: known lower bounds on $\beta(d,n)$?

Inequality on the Hellinger distance between Poisson and mixture of Poisson

Distribution of a stopped random sum, with subexponential stopping time

Distribution of weighted sum of non-central chi-squared r.v.'s: log-concave?

Measure change bound for function of subgaussian r.v

How to efficiently sample uniformly from the set of $p$-equipartitions of an $n$-set?

Properties of the optimal decomposition for the $K$-functional between $\ell_1$ and $\ell_2$

Finding a hidden “heavy” subset of random variables

Asymptotics of $K$-functional between $\ell_1$ and $\ell_2$ for a specific sequence

Relation between the class $\mathcal{M}(m,\sigma)$ and subgaussianity

$\sum_{a\in A} r(a)$, where $A\subseteq\mathbb{Z}_n$ and $r(a)$ is the number of representations of $a$ as sum of two elements from $A$