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ARIAS RODRÍGUEZ Andrés

I was born in Bogotá, Colombia. In 1998, I enrolled at the National University of Colombia where I got my Bachelor of Statistics. During my undergraduate studies and the first stages of my professional career, I focused in the areas of probabilistic sampling and experimental design and I worked as a consultant for seven years giving statistical support to health, social and economic survey research. In 2010, I decided to pursue an always present interest in Probability Theory, so I moved to Brazil to start my master studies in Statistics at the Institute of Mathematics and Statistics of the University of Sao Paulo (IME-USP) and completed it in 2013, with a dissertation entitled “Stochastic modeling of spike trains of a set of neurons” under the supervision of Professor Antonio Galves. In this work, we analysed data related to the neuronal activity of rats in sleep-wake cycle and found that the estimated context trees of the neurons in both cycles correspond to a renewal process. We also studied the influence of every neuron on others and we presented a discussion about the required sample size to analyse this kind of data and proposed a solution to this problem. During my PhD, my interests will be concentrated on statistical inference for stochastic processes and mathematical modeling of neuronal activity.

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