Gabriel Romon
Interested in theoretical aspects of Statistics and Machine Learning. First-year PhD student at CREST - ENSAE.
Studied at ENSAE Paris and ENS Paris-Saclay, got a master's degree from the latter (MVA).
A few recent good answers of mine:
$E(X|X>x)$ is non-decreasing in $x$
Coincidence of characteristic functions along a sequence that goes to $0$
A technical weak convergence result involving matrices
A concentration bound for the $\chi^2$ distribution
$X\in[a,b]$ and $E(X)=0$ imply $E(X^2)\leq -ab$
$(X-Y)\in L^2(P) \implies X,Y\in L^1(P)$
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 $\sum_n \frac{X_n}n$
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Paris, France
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Member for 3 years, 1 month
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1 profile view
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Last seen May 8 '18 at 14:28
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