• Controle de sistemas não-Markovianos. 

      Souza, Francys Andrews de (Universidade Federal de São Carlos, UFSCar, Programa Interinstitucional de Pós-Graduação em Estatística - PIPGEs, Câmpus São Carlos, 13/09/2017)
      In this thesis, we present a concrete methodology to calculate the epsilon-optimal controls for non-Markovian stochastic systems. A pathwise analysis and the use of the discretization structure proposed by Leão and Ohash ...
    • Poincaré recurrence times in stochastic mixing processes 

      Amorim, Vitor Gustavo de (Universidade Federal de São Carlos, UFSCar, Programa Interinstitucional de Pós-Graduação em Estatística - PIPGEs, Câmpus São Carlos, 17/02/2022)
      In the context of the discrete-time stochastic processes, this thesis presents new results on Poincaré recurrence theory. After a complete review of recent results, we present a new theorem on the exponential approximations ...
    • Cadeias estocásticas de memória ilimitada com aplicação na neurociência 

      Ferreira, Ricardo Felipe (Universidade Federal de São Carlos, UFSCar, Programa Interinstitucional de Pós-Graduação em Estatística - PIPGEs, Câmpus São Carlos, 21/03/2019)
      Stochastic chains with unbounded memory are a natural generalization of Markov chains, in the sense that the transition probabilities may depend on the whole past. These process, introduced independently by Onicescu and ...
    • Teoremas limite para variáveis aleatórias de Bernoulli dependentes 

      Rezende, Bruna Luiza de Faria (Universidade Federal de São Carlos, UFSCar, Programa Interinstitucional de Pós-Graduação em Estatística - PIPGEs, Câmpus São Carlos, 22/03/2023)
      In this work, we consider a sequence of correlated Bernoulli variables whose probability of success for the current trial depends conditionally on previous trials. This conditional probability is given as a linear function ...