On the estimation of Cesàro means of orthonormal series
J. Meder (1958)
Annales Polonici Mathematici
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J. Meder (1958)
Annales Polonici Mathematici
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Gerhard Larcher (1988)
Acta Arithmetica
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Carsten Schütt (1982)
Compositio Mathematica
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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].
E. Abbena, A. Gray, L. Vanhecke (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Ulla Dinger (1992)
Revista Matemática Iberoamericana
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We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
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).