Elementary inequalities between the expected values of current estimates of variance
Hugo Steinhaus (1948)
Colloquium Mathematicum
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Hugo Steinhaus (1948)
Colloquium Mathematicum
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Miguel A. Arcones, Evarist Giné (1991)
Annales de l'I.H.P. Probabilités et statistiques
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Waldemar Popiński (1999)
Applicationes Mathematicae
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The problem of nonparametric estimation of the regression function f(x) = E(Y | X=x) using the orthonormal system of trigonometric functions or Legendre polynomials , k=0,1,2,..., is considered in the case where a sample of i.i.d. copies , i=1,...,n, of the random variable (X,Y) is available and the marginal distribution of X has density ϱ ∈ [a,b]. The constructed estimators are of the form , where the coefficients are determined by minimizing the empirical risk . Sufficient conditions...
R. Paley (1931)
Studia Mathematica
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Z. Ciesielski (1966)
Studia Mathematica
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Ferenc Móricz (1991)
Studia Mathematica
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D. Przeworska-Rolewicz (1970)
Studia Mathematica
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Παναγιώτης Τελώνης (1989-1990)
Ευκλείδης Α
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F. Móricz (1985)
Studia Mathematica
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