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Diego Fonseca

I'm a Phd student of mathematics at Universidad de Los Andes (Colombia) interested in Robust Optimization, Markov decision process, Machine Learning, Neural networks, Stochastic process and Dynamical Systems. I did my undergraduate studies at Universidad Nacional de Colombia.

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Top posts (17) All Questions Answers | Votes Newest

7 Let $X_{(1)}\leq X_{(2)}$ be the order statistics. Evaluate $\operatorname{Var}(X_{(j)})$, $\operatorname{Cov}(X_{(1)},X_{(2)})$ Feb 26 '17
4 Find the invariant measure $\pi=(\pi_{1},\pi_{2},\pi_{3})$ for a Markov Chain with transition matrix given May 8 '17
3 What can we say about $N_{i}$ where $N=N_{1}+\cdots+N_{m}$, $N\thicksim Geom(\frac{1-p}{p})$ and conditional distribution of $N_{j}$ is binomial Feb 22
2 In the choice of bandwidth for kernel density estimator. Why usually minimize MISE instead of minimizing ISE? Apr 15 '18
2 Bootstrap Resampling Vs KDE Resampling May 14 '18
2 Calculate of Lyapunov Exponents of a sequence of random matrices Apr 29 '17
1 Let $(Y_{n})$ irreducible Markov Chain and $\pi$ invariant measure. Show that if $\pi(0)\neq 0$ then $Y_{n}\cdots Y_{1}Y_{0}$ eventually vanishes Apr 29 '17
1 Power of a statistic respect to significance level Mar 19 '17
1 Let $U$ be a $U$-statistic, $\gamma=\mathbb{E}(U)$ and $U^{*}=U-\gamma$. What can we say about Convergence of $\sqrt{n}[U^{*}-\gamma]$? Apr 14 '17
1 Let $\xi$ random vector and $\zeta^{x}:=x^{T}\xi$ random variable. Is it correct to say that $\int x^{T}y f_{\xi}(y)dy=\int tf_{\zeta^{x}}(t)dt$? Apr 27 '18
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