Question

Claim about Empirical Quantile Function: $\hat{F}_n^{-1}\left(\frac{i}{n+1}\right) = X_{(i)}$

score 137 · Answer 1 · 2018-08-04 15:34:08

137

Views

Claim about Empirical Quantile Function: $\hat{F}_n^{-1}\left(\frac{i}{n+1}\right) = X_{(i)}$

Published on 04 Aug 2018 - 15:34

score 141 · Answer 2 · 2026-03-31 21:56:35

141

Views

Lower bound on $tr(A^{-1})$, where $A\in \mathbb{R}^{n \times n}$ symmetric, positive definite.

Published on 31 Mar 2026 - 21:56

score 1.2k · Answer 3 · 2018-08-04 20:58:21

1.2k

Views

What is the largest number of families that can have at least 4 members according to Markov’s Inequality?

Published on 04 Aug 2018 - 20:58

score 61 · Answer 4 · 2026-03-26 12:37:00

61

Views

Prove that $\frac{a}{2a+\beta b}+\frac{b}{\alpha b+\beta a}\ge \frac{2}{\alpha +\beta }$

Published on 26 Mar 2026 - 12:37

score 355 · Answer 5 · 2026-03-25 16:03:48

355

Views

inequality involving $(xy+yz+zx)^3$ and the $pqr$ method

Published on 25 Mar 2026 - 16:03

score 357 · Answer 6 · 2026-04-05 13:29:28

357

Views

Inequality with $abc=2$

Published on 05 Apr 2026 - 13:29

score 357 · Answer 7 · 2026-03-26 01:25:10

357

Views

Prove that inequality $\frac{2ab}{a+b}+\sqrt{\frac{a^2+b^2}{2}}\ge \sqrt{ab}+\frac{a+b}{2}$

Published on 26 Mar 2026 - 1:25

score 58 · Answer 8 · 2018-08-05 11:12:09

58

Views

What is the domain of the function $f(x)=\sin^{-1}\left(\frac{8(3)^{x-2}}{1-3^{2(x-1)}}\right)$?

Published on 05 Aug 2018 - 11:12

score 94 · Answer 9 · 2026-03-27 04:58:52

94

Views

Prove inequality inside a triangle

Published on 27 Mar 2026 - 4:58

score 148 · Answer 10 · 2026-03-27 21:36:26

148

Views

Show that:$\sum_{i=1}^n x_{i} \cdot \sum_{i=1}^n \frac{1}{x_{i}} \geq n^2 $

Published on 27 Mar 2026 - 21:36

score 670 · Answer 11 · 2026-04-06 12:17:41

670

Views

Large deviation upper bound for Chi-squared random variable

Published on 06 Apr 2026 - 12:17

score 63 · Answer 12 · 2026-03-31 14:30:46

63

Views

Prove if $|z-1| \le \frac{1}{2}$ then $|\frac{z}{|z|} - 1| \le |z - 1|\sqrt2$ for z complex

Published on 31 Mar 2026 - 14:30

score 622 · Answer 13 · 2026-03-25 03:00:50

622

Views

Prove or disprove that integral term is log-concave

Published on 25 Mar 2026 - 3:00

score 44 · Answer 14 · 2026-03-25 09:29:12

44

Views

If $A$ is a random matrix, $B$ is a matrix very close to the all-one matrix, then is $\|A\circ B\|$ close to $\|A\|$?

Published on 25 Mar 2026 - 9:29

score 753 · Answer 15 · 2026-03-25 14:21:01

753

Views

How to prove $x^2<4 \implies|x|<2$?

Published on 25 Mar 2026 - 14:21

List Question

Claim about Empirical Quantile Function: $\hat{F}_n^{-1}\left(\frac{i}{n+1}\right) = X_{(i)}$

Lower bound on $tr(A^{-1})$, where $A\in \mathbb{R}^{n \times n}$ symmetric, positive definite.

What is the largest number of families that can have at least 4 members according to Markov’s Inequality?

Prove that $\frac{a}{2a+\beta b}+\frac{b}{\alpha b+\beta a}\ge \frac{2}{\alpha +\beta }$

inequality involving $(xy+yz+zx)^3$ and the $pqr$ method

Inequality with $abc=2$

Prove that inequality $\frac{2ab}{a+b}+\sqrt{\frac{a^2+b^2}{2}}\ge \sqrt{ab}+\frac{a+b}{2}$

What is the domain of the function $f(x)=\sin^{-1}\left(\frac{8(3)^{x-2}}{1-3^{2(x-1)}}\right)$?

Prove inequality inside a triangle

Show that:$\sum_{i=1}^n x_{i} \cdot \sum_{i=1}^n \frac{1}{x_{i}} \geq n^2 $

Large deviation upper bound for Chi-squared random variable

Prove if $|z-1| \le \frac{1}{2}$ then $|\frac{z}{|z|} - 1| \le |z - 1|\sqrt2$ for z complex

Prove or disprove that integral term is log-concave

If $A$ is a random matrix, $B$ is a matrix very close to the all-one matrix, then is $\|A\circ B\|$ close to $\|A\|$?

How to prove $x^2<4 \implies|x|<2$?

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