A local limit theorem on the semi-direct product of and
Émile Le Page, Marc Peigné (1997)
Annales de l'I.H.P. Probabilités et statistiques
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Émile Le Page, Marc Peigné (1997)
Annales de l'I.H.P. Probabilités et statistiques
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Y. Guivarch, Y. Le Jan (1996)
Annales scientifiques de l'École Normale Supérieure
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Heinz Siedentop, Rudi Weikard (1991)
Annales scientifiques de l'École Normale Supérieure
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J. Meder (1958)
Annales Polonici Mathematici
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Richard Bass, Xia Chen, Jay Rosen (2009)
Annales de l'I.H.P. Probabilités et statistiques
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We study functionals of the form = ⋯ | ( )+⋯+ ( )| d ⋯ d , where (), …, () are i.i.d. -dimensional symmetric stable processes of index 0<≤2. We obtain results about the large deviations and laws of the iterated logarithm for .
José Tiago de Oliveira (1985)
Trabajos de Estadística e Investigación Operativa
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The purpose of this paper is to study the asymptotic choice between two models {F(x|α), α ∈ A ⊆ R} and {G(x|β), β ∈ B ⊆ R}, A and B being intervals but such that for (α, β}, and only for this pair, we have F(x|α) = G(x|β).
Franciszek Czekała (1996)
Applicationes Mathematicae
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The paper is concerned with the asymptotic normality of a certain statistic based on the logarithms of disjoint m-spacings. The exact and asymptotic mean and variance are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1].