Question

Simulate autoregressive model

score 90 · Answer 1 · 2026-03-25 18:08:08

90

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Simulate autoregressive model

Published on 25 Mar 2026 - 18:08

score 61 · Answer 2 · 2020-06-10 20:51:53

61

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How to upper bound $F(\alpha)=\max_{z\in[0,1]} z\cdot \min \left\{-\ln(1-e^{-z}),-\alpha\cdot \ln(1-e^{-\alpha z})\right\}$?

Published on 10 Jun 2020 - 20:51

score 319 · Answer 3 · 2026-03-30 05:24:55

319

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Finding the best threshold for bounding error probability in Chernoff (biased coins examples)

Published on 30 Mar 2026 - 5:24

score 30 · Answer 4 · 2020-06-12 11:00:53

30

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Derivation of natural log inequality

Published on 12 Jun 2020 - 11:00

score 87 · Answer 5 · 2026-03-25 20:35:58

87

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On the error term of an aproximation to $\sum_{k\le n}\frac{\mu(k)}{k}$ through Legendre's formula

Published on 25 Mar 2026 - 20:35

score 46 · Answer 6 · 2026-03-26 14:33:56

46

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Bound eigenbasis error of perturbed matrix by eigenbasis error of perturbation

Published on 26 Mar 2026 - 14:33

score 59 · Answer 7 · 2020-06-13 09:56:02

59

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How to prove $P[X\geq u]\geq \frac{1}{2}(1-\sqrt{1-e^{-u^2}})$ when $X$ is standard normal?

Published on 13 Jun 2020 - 9:56

score 28 · Answer 8 · 2020-06-13 15:24:02

28

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$ \lim \sup_{n \to \infty} n \mathbb P \left ( \sup_{t \in [ 0 , T ]} S_t > n \right ) > 0 $ means $S_t$ is unbounded above almost surely.

Published on 13 Jun 2020 - 15:24

score 36 · Answer 9 · 2020-06-14 12:41:25

36

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Upper bound for local minimum of $x + a \exp\left(-b (x^d - c)^2\right)$.

Published on 14 Jun 2020 - 12:41

score 105 · Answer 10 · 2026-03-31 15:17:54

105

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How to obtain the following Chernoff Bound?

Published on 31 Mar 2026 - 15:17

score 56 · Answer 11 · 2026-03-25 11:14:46

56

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After applying a sequence of involutory real matrices to a vector, is the norm of this vector bounded from below?

Published on 25 Mar 2026 - 11:14

score 150 · Answer 12 · 2020-06-18 02:33:24

150

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Lower bound on $E\|Z\|$ for normal $Z$

Published on 18 Jun 2020 - 2:33

score 29 · Answer 13 · 2026-03-28 12:14:49

29

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Let $a_1,\ldots,a_n \in [0,1)$ and $P:=(1-a_1)(1-a_2)\ldots(1-a_n)$. Find good lower-bound for $P$ in terms of $\|a\|_\infty$ and $\|a\|_2$

Published on 28 Mar 2026 - 12:14

score 337 · Answer 14 · 2026-03-25 02:57:28

337

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Relationship between $\|AB\|_$ and $\|A\|_\|B\|_*$

Published on 25 Mar 2026 - 2:57

score 129 · Answer 15 · 2020-06-21 00:22:15

129

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Proving $\lim_{n\to\infty}\frac1n\sum_{i=0}^{n-1}\sum_{j=n}^{n+i}\frac{\binom{n+i}j}{2^{n+i}}=0$

Published on 21 Jun 2020 - 0:22

List Question

Simulate autoregressive model

How to upper bound $F(\alpha)=\max_{z\in[0,1]} z\cdot \min \left\{-\ln(1-e^{-z}),-\alpha\cdot \ln(1-e^{-\alpha z})\right\}$?

Finding the best threshold for bounding error probability in Chernoff (biased coins examples)

Derivation of natural log inequality

On the error term of an aproximation to $\sum_{k\le n}\frac{\mu(k)}{k}$ through Legendre's formula

Bound eigenbasis error of perturbed matrix by eigenbasis error of perturbation

How to prove $P[X\geq u]\geq \frac{1}{2}(1-\sqrt{1-e^{-u^2}})$ when $X$ is standard normal?

$ \lim \sup_{n \to \infty} n \mathbb P \left ( \sup_{t \in [ 0 , T ]} S_t > n \right ) > 0 $ means $S_t$ is unbounded above almost surely.

Upper bound for local minimum of $x + a \exp\left(-b (x^d - c)^2\right)$.

How to obtain the following Chernoff Bound?

After applying a sequence of involutory real matrices to a vector, is the norm of this vector bounded from below?

Lower bound on $E\|Z\|$ for normal $Z$

Let $a_1,\ldots,a_n \in [0,1)$ and $P:=(1-a_1)(1-a_2)\ldots(1-a_n)$. Find good lower-bound for $P$ in terms of $\|a\|_\infty$ and $\|a\|_2$

Relationship between $\|AB\|_$ and $\|A\|_\|B\|_*$

Proving $\lim_{n\to\infty}\frac1n\sum_{i=0}^{n-1}\sum_{j=n}^{n+i}\frac{\binom{n+i}j}{2^{n+i}}=0$

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