Asymptotic behaviour of the quadratic measure of deviation of multivariate density estimates
José Rafael Leon R. (1983)
Annales de l'I.H.P. Probabilités et statistiques
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José Rafael Leon R. (1983)
Annales de l'I.H.P. Probabilités et statistiques
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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).
H. Djellout, A. Guillin, L. Wu (2006)
Annales de l'I.H.P. Probabilités et statistiques
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Y. Ogura, M. Tomisaki, M. Tsuchiya (2002)
Annales de l'I.H.P. Probabilités et statistiques
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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].
Jamal-Dine Chergui (1996)
Extracta Mathematicae
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This paper deals with the problem of estimation in the parametric case for discrete random variables. Their study is facilitated by the powerful method of probability generating function.
J. Meder (1958)
Annales Polonici Mathematici
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