Independent and identically distributed pseudo-random samples
Ivan Kramosil (1987)
Kybernetika
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Ivan Kramosil (1987)
Kybernetika
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Pak, Igor (1999)
Electronic Journal of Probability [electronic only]
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Nina Gantert (2002)
Annales de l'I.H.P. Probabilités et statistiques
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Fan, Aihua, Kahane, J. P. (2001)
Portugaliae Mathematica. Nova Série
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Iksanov, Alex, Möhle, Martin (2007)
Electronic Communications in Probability [electronic only]
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G. Maillard, T. Mountford (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We study the decay rate of large deviation probabilities of occupation times, up to time , for the voter model : ℤ×[0, ∞)→{0, 1} with simple random walk transition kernel, starting from a Bernoulli product distribution with density ∈(0, 1). In [ (1988) 401–413], Bramson, Cox and Griffeath showed that the decay rate order lies in [log(), log()]. In this paper, we establish the true decay rates depending on the level. We show that the decay rates are log() when the deviation...