Locally minimax efficiency of nonparametric estimates of square- integrable densities

DOI10.1007/BF00970426zbMath0806.62026OpenAlexW2088606452MaRDI QIDQ1324890

V. Pereyra

Publication date: 21 July 1994

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00970426

zbMATH Keywords

existencecompact supportnecessary and sufficient conditionrandom functionalselfadjoined operatorssquare-integrable probability densities

Mathematics Subject Classification ID

Density estimation (62G07) Applications of operator theory in probability theory and statistics (47N30)

Related Items

Efficient nonparametric estimation of distribution density in the basis of algebraic polynomials ⋮ Lower bound for quadratic losses of estimation of infinite-dimensional parameter ⋮ Locally minimax efficiency of nonparametric density estimators for \(\chi^2\)-type losses

Cites Work

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• Estimation of square integrable density on the basis of a sequence of observations
• Adaptive projectional estimate of distribution density
• On general minimax theorems
• Minimax linear regression estimation with symmetric parameter restrictions
• Adaptive kernel-type estimator for square-integrable distribution density
• An estimate of spectral density
• The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
• Nonparametric Estimation of a Density of Unknown Smoothness

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