Asymptotically minimax estimation of order-constrained parameters and eigenfunctions of the Laplacian on the ball

DOI10.1016/S0246-0203(01)01098-6zbMath1010.62009MaRDI QIDQ1599992

Publication date: 9 September 2002

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPB_2002__38_2_193_0

zbMATH Keywords

boundary value problems asymptotic minimax risk reflection groups least favorable prior distribution

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Parametric inference under constraints (62F30) Bayesian inference (62F15) Minimax procedures in statistical decision theory (62C20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20)

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