### Questions (22)

 27 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 $[0,1]$? 11 Biased random Fibonacci sequences 9 A measure of non-uniformity of a vector/probability distribution? 8 Reference on (discrete) log-concave probability distributions 6 Question about size-biased couplings and concentration of the number of collisions

### Reputation (880)

 +10 Concentration bounds on weighted sum of i.i.d. Bernoulli random variables +60 Question about size-biased couplings and concentration of the number of collisions +10 Two reference requests: Pinsker's inequality and Pontryagin duality +10 Relation between the class $\mathcal{M}(m,\sigma)$ and subgaussianity

### Answers (8)

 20 Examples of algorithms requiring deep mathematics to prove correctness 5 Concentration bounds on weighted sum of i.i.d. Bernoulli random variables 3 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 $[0,1]$? 2 Two reference requests: Pinsker's inequality and Pontryagin duality 1 Examples of eventual counterexamples

### Tags (31)

 9 pr.probability × 18 2 it.information-theory 5 measure-concentration × 5 2 pontrjagin-duality 3 limits-and-convergence × 2 2 harmonic-analysis 2 reference-request × 6 1 probability-distributions × 7 2 soft-question 1 inequalities × 6

### Bookmarks (40)

 362 Proofs without words 276 What's a mathematician to do? [closed] 171 Examples of eventual counterexamples 157 Do you know important theorems that remain unknown? 105 Tweetable Mathematics

### Accounts (19)

 Mathematics 62,040 rep 33 gold badges5555 silver badges127127 bronze badges Theoretical Computer Science 4,053 rep 2020 silver badges4444 bronze badges Puzzling 925 rep 55 silver badges1010 bronze badges MathOverflow 880 rep 11 gold badge88 silver badges3030 bronze badges Gardening & Landscaping 641 rep 11 gold badge55 silver badges1515 bronze badges

### Badges (25)

 Constituent Nice Question × 2 Popular Question × 4 Yearling × 4 Caucus Good Question Fanatic Enthusiast Announcer × 8 Booster

### Active bounties (0)

This user has no active bounties

### Votes cast (94)

all time   by type   month
91 up 27 question 1
3 down 67 answer