graduation at Estatística from Universidade Estadual de Campinas (2022). (Source: Lattes Curriculum)
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Long range dependence arises widely in applied as well as theoretical problems. In this project, we propose an approach for stochastic chains with unbounded memory based on these two parts. First, a study of the basic statistical/theoretical properties (central limit theorem, concentration inequalities,perfect simulation algorithms, quasi-stationary distribution) and second a studyof two …
Clementi et al.(2016) introduced an information spreading model over a sequence of (Markovian) random graphs. Our ultimate goal is to provide an alternative proof based on the concept of strong stationary times. An initial, and important, part of the project will be dedicated to a preliminary study of phase transition phenomenons in random graphs and strong stationary times theory for Mar…
We aim to study stochastic processes, with emphasis on the theory of random walks on the line, and on the Bienaymé-Galton-Watson branching processes. For the random walks, we intend to work with combinatorial properties, the Reflection Principle, generating functions, return and hitting times, recurrence and transience. For the branching processes, we are interested in studying the basic …
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