 # Gabriel Romon

Piscataway, NJ, USA

Interested in theoretical aspects of Statistics and Machine Learning. Studied at ENSAE Paris and ENS Paris-Saclay, got a master's degree from the latter (MVA).

Currently a visiting Research Intern at Rutgers University.

A few recent good answers of mine:

$$(X-Y)\in L^2(P) \implies X,Y\in L^1(P)$$
DCT for convergence in probability
$$\frac{S_n}{\sqrt n}$$ is dense in $$\mathbb R$$ almost surely
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 $$\sum_n \frac{X_n}n$$

Top Questions

## Polynomials such that roots=coefficients

asked May 11 '14 at 13:33

## Find the liar in the library

asked Apr 28 '15 at 17:30

## Draw a line through all doors

asked Jul 3 '14 at 20:57

## $f^2+(1+f')^2\leq 1 \implies f=0$

asked Jun 12 '14 at 18:46

## Reverse Cauchy Schwarz for integrals

asked Jul 27 '14 at 18:47

## Convergence of $\sum_n \frac{|\sin(n^2)|}{n}$

asked Aug 23 '16 at 20:12