Logarithmic components of the vacant set for random walk on a discrete torus.
Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Windisch, David (2008)
Electronic Journal of Probability [electronic only]
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Mark Veraar (2008)
Colloquium Mathematicae
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We obtain lower bounds for ℙ(ξ ≥ 0) and ℙ(ξ > 0) under assumptions on the moments of a centered random variable ξ. The estimates obtained are shown to be optimal and improve results from the literature. They are then applied to obtain probability lower bounds for second order Rademacher chaos.
Emmanuel Rio (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We obtain upper bounds for minimal metrics in the central limit theorem for sequences of independent real-valued random variables.
Nina Gantert, Wolfgang König, Zhan Shi (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Paul Erdös, A Rényi (1960)
Acta Arithmetica
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Mohamed A. El-Shehawey, Bakheet N. Al-Matrafi (1997)
Mathematica Slovaca
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Kosmas Ferentinos (1982)
Trabajos de Estadística e Investigación Operativa
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Three inequalities of Tchebycheff type are presented. Two of them give lower bounds for the probability of intervals not necessarily symmetric around the mean. The third one generalizes the extension of Tchebycheff's inequalities given by Miyamoto (1978). They are based on the inequality of Markov. Attainability of lower bounds is also discussed.
M. Fisz (1955)
Colloquium Mathematicae
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