Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/85622
Type: Artigo de periódico
Title: Stochastically Perturbed Chains Of Variable Memory
Author: Garcia N.L.
Moreira L.
Abstract: In this paper, we study inference for chains of variable order under two distinct contamination regimes. Consider a chain of variable memory on a finite alphabet containing zero, at each instant of time an independent coin is flipped and if it turns head a contamination occurs. In the first regime a zero is read independently of the value of the chain. In the second regime, the value of another chain of variable memory is observed instead of the original one. Our results state that the difference between the transition probabilities of the original process and the corresponding ones of the contaminated process may be bounded above uniformly. Moreover, if the contamination probability is small enough, using a version of the Context algorithm we are able to recover the context tree of the original process through a contaminated sample.
Editor: Springer New York LLC
Rights: fechado
Identifier DOI: 10.1007/s10955-015-1227-8
Address: http://www.scopus.com/inward/record.url?eid=2-s2.0-84923918198&partnerID=40&md5=3dd69b2378d9d4ed738e882edf4a6390
Date Issue: 2015
Appears in Collections:Unicamp - Artigos e Outros Documentos

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