Conditional bounds and best \(L_{\infty}\)-approximations in probability spaces

DOI10.1016/0021-9045(89)90128-7zbMath0696.41025OpenAlexW2057836031MaRDI QIDQ910644

Carlos Matrán, Juan Antonio Cuesta

Publication date: 1989

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90128-7

zbMATH Keywords

random variablesPólya algorithmLebesgue measureisotonic approximationconditional boundsLebesgue-Radon-Nikodym derivatives

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Probabilistic measure theory (60A10)

Related Items (4)

Some stochastics on monotone functions ⋮ Consistency of \(L_ p\)-best monotone approximations ⋮ On the estimation of monotone uniform approximations ⋮ Strict \(L_{\infty }\) isotonic regression

Cites Work

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• The Polya algorithm in \(L_ \infty\) approximation
• Isotonic approximation in \(L_ s\).
• Uniform inequalities for conditional \(p\)-means given \(\sigma\)-lattices
• L//infinity-approximation in probability spaces
• A generalized Radon-Nikodym derivative
• Semi-recorrido condicionado (Expresion asintotica de la r-esperanza condicionada)
• Best approximants in L ? -spaces
• Convergence of L p Approximations as p →∞
• Convergence of Best Best L ∞ -Approximations
• Conditional Expectation Given A $\sigma$-Lattice and Applications
• Asymptotic Behavior of High Order Means

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