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Diego Fonseca
  • Member for 7 years, 6 months
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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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question
9
Let $X_{(1)}\leq X_{(2)}$ be the order statistics. Evaluate $\operatorname{Var}(X_{(j)})$, $\operatorname{Cov}(X_{(1)},X_{(2)})$
Feb 26, 2017
question
5
Find the invariant measure $\pi=(\pi_{1},\pi_{2},\pi_{3})$ for a Markov Chain with transition matrix given
May 8, 2017
question
4
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, 2019
question
4
Determine if the following Markov chain is positive recurrent, null recurrent or transcient
Dec 4, 2019
question
3
Calculate of Lyapunov Exponents of a sequence of random matrices
Apr 29, 2017
question
3
Bootstrap Resampling Vs KDE Resampling
May 14, 2018
question
3
Calculate $\mathbb{P}[Y=y|X=x]$ where $X$ is the number of claims reported during first year and $Y$ is ultimate number of claims
May 2, 2019
question
2
Power of a statistic respect to significance level
Mar 19, 2017
question
2
In the choice of bandwidth for kernel density estimator. Why usually minimize MISE instead of minimizing ISE?
Apr 15, 2018
question
2
If $X\sim \operatorname{lognormal}$ then $Y:=(X-d\mid x\geq d)$ has approximately a Generalized Pareto distribution
May 18, 2019
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16
If $\mathcal{B}$ is a base of a topology space $\left(X,\tau\right)$, then the Borel $\sigma$-algebra is generated by $\mathcal{B}$?
15
Suppose that for each $a\in \mathbb{C}$ at least one coefficient of the Taylor's series $f$ about $a$ is zero. Show that $f$ is a polynomial.
12
Are all bilinear forms identically zero?
9
Show that $ \exp \left(\mathfrak{sl}(2,R)\right)$ is the set of all matrices with positive trace $\geq -2$
9
There exists polynomial $(P_{n})_{n\in\mathbb{N}}$ such that $P_n(0)=1$, and $\lim_{n\rightarrow \infty}P_{n}(z)=0$..