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Amir's user avatar
Amir's user avatar
Amir
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About

The beauty of mathematics only shows itself to more patient followers - Maryam Mirzakhani 1977-2017

My favorite quantity is Entropic VaR: $$ \color{blue}{\text{EV@R}_{1-\alpha}(X)=\inf_{t>0} \, t\log \frac 1 \alpha \mathbb E \left ( e^{\frac{X}{t} } \right )}$$

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Top posts
18
Probability vector $p$ majorizes its normalized entropy vector $\small \frac{-p\log p}{H(p)}$
Aug 15, 2024
6
Maximum number of circular permutations of $n$ objects with no common subsequence of size $k$
Apr 4
4
When a null uncountable set can be image of some increasing function with discontinuities on a dense countable set
Aug 17, 2024
3
A formula for minimum number of $k$-element nonnegative-sum subsets of a zero-sum set: Revisiting Manickam-Miklós-Singhi conjecture
Apr 9
3
Probability vector $p$ majorizes its normalized entropy vector $\small \frac{-p\log p}{H(p)}$
Aug 17, 2024
1
Why does this system of gcd equations have no solutions?
Dec 10, 2024
1
When is 2 qualitatively different from 3?
Dec 15, 2024
0
A system of nonlinear Diophantine equations whose positive solutions are not coprime
Dec 13, 2024
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17
Inequality involving entropies: $\left \|p -\frac{1}{n} e \right \|_2\ge\left \|\frac{-p\log p}{H(p)} -\frac{1}{n} e \right \|_2$
16
Coupon Collector vs. Geometric Distribution: Catching All 150 Pokémon
14
Probability that $b^2 - 4ac \geq 0$ where $a,b,c$ are normally distributed (numerical integration)
12
What is the (fully rigorous) definition of a confidence interval?
11
Probability of rain after an amount of time in Minecraft game