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Abordagem de martingais para análise assintótica do passeio aleatório do elefante

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MIRANDA NETO_Milton_2018.pdf (1.775Mb)
Date
2018-08-20
Author
Miranda Neto, Milton
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Abstract
In this work we study the elephant random walk introduced in (SCHUTZ; TRIMPER, 2004), a discrete time, non-Markovian stochastic process with unlimited range memory that presents phase transition. Our objective is to proof the almost sure convergence for the subcritical and critical regimes of the model. We also present a demonstration of the Central Limit Theorem for both regimes. For the supercritical regime we proof the convergence of the elephant random walk to a non-normal random variable based on the articles (BAUR; BERTOIN, 2016), (BERCU, 2018) and (COLETTI; GAVA; SCHUTZ, 2017b).
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https://repositorio.ufscar.br/handle/ufscar/10463
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UFSCar
Universidade Federal de São Carlos - UFSCar
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UFSCar
Universidade Federal de São Carlos - UFSCar
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UFSCar

IBICT