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March, 1992 Non-Existence of an Adaptive Estimator for the Value of an Unknown Probability Density
Mark G. Low
Ann. Statist. 20(1): 598-602 (March, 1992). DOI: 10.1214/aos/1176348544

Abstract

A strong adaptive criteria is defined for density estimation problems. In a particular case it is shown that there is no strongly adaptive sequence of estimators. In contrast Woodroofe has shown that a weakly adaptive result holds.

Citation

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Mark G. Low. "Non-Existence of an Adaptive Estimator for the Value of an Unknown Probability Density." Ann. Statist. 20 (1) 598 - 602, March, 1992. https://doi.org/10.1214/aos/1176348544

Information

Published: March, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0745.62035
MathSciNet: MR1150366
Digital Object Identifier: 10.1214/aos/1176348544

Subjects:
Primary: 62G07
Secondary: 62C99

Keywords: adaptive estimation , Density estimation , minimax risk

Rights: Copyright © 1992 Institute of Mathematical Statistics

Vol.20 • No. 1 • March, 1992
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