Gabriel Romon
Student at ENSAE Paristech and ENS ParisSaclay (MVA Master's degree). Interested in statistics and machine learning.
A few recent good answers of mine:
DCT for convergence in probability
$\frac{S_n}{\sqrt n}$ is dense in $\mathbb R$ almost surely
$\cos(2^n)$ is dense in $[1,1]$
Showing $(X_n >c_n \text{ i.o.})=(\max_{1\leq i\leq n}X_i >c_n \text{ i.o.})$
Derivative of the MGF
Infinite convex combination of characteristic functions is a characteristic function
Different $\mathcal C^\infty$ characteristic functions that coincide in a neighborhood of $0$
Different metrics that metrize convergence in probability
Relations between different definitions of the Gaussian width
Weak consistency from asymptotic unbiasedness
$(\sum_{j=1}^{n} X_{j}) / b_{n} \overset {P}{\to} C$ implies $b_{n}\sim b_{n+1}$
CLT and pointwise convergence of densities
If $X\in L^1$, $P(X>x)=o\left(\frac 1x\right)$
Convex function with directional derivatives in all directions is differentiable
Concentration of the $q$norm of a Gaussian vector
Almost sure convergence of $\sum_n \frac{X_n}n$

Paris, France

Member for 8 months

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