User zxmkn

zxmkn

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Stumbling around this world of math. Pease excuse my blunders.

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Dec 31, 2021
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Nov 17, 2021
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Disciplined

Oct 22, 2021
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Apr 23, 2022
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Jan 23, 2019

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linear-algebra

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probability-theory

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probability

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Is $f^{-1}\big( \sqrt{xf(x)} \big)$ convex (for large $x$) when $f(x) = o(x)$ is concave and strictly increasing?

Jan 14, 2022

How is it "easily checked" that $[1-s(\cos\theta + i \sin \theta)] \sum_{n=0}^\infty s^n [\cos(n\theta)+i \sin(n\theta)] = 1$

Mar 20, 2017

Limit of matrix inverse: $\lim_{\lambda \to \infty} (A + \lambda I)^{-1} = \mathbf{0}$?

Jan 24, 2019

Inequality with slowly varying functions

Apr 26, 2022

$X \geq 0$, $E[X] =\infty$. What's a lower bound for speed at which sample mean $\overline X_n$ diverges toward $\infty$?

Jan 12, 2022

Example of norm on $\mathbb{R}^2$ that's NOT absolutely monotonic.

Dec 14, 2018

Let $X_n \leq Y_n$ and both converge in distribution $X_n, Y_n \overset{d}{\longrightarrow}F$. Does $|Y_n - X_n| \overset{p}{\longrightarrow} 0\,$?

Nov 13, 2022

If $|X_n - Y_n| \overset{P}{\longrightarrow} 0$, does $|F_{X_{n}}(t) - F_{Y_n}(t)| \to 0$ for all $t \in \mathbb R\,$?

Oct 14, 2022

Does the sample mean of the fatter tailed distribution $\to +\infty$ faster if both diverge?

Sep 30, 2022

Is a Hahn-Banach extension always continuous?

Jan 10, 2019