Universal Adaptive Estimations and Confidence Intervals in the Nonparametric Statistics

Details Universal Adaptive Estimations and Confidence Intervals in the Nonparametric Statistics Universal Adaptive Estimations and Confidence Intervals in the Nonparametric Statistics

2004-06-25

arxiv.org/abs/math/0406535v1

Mathematics

Probability

Scientific paper

The paper considers so-called adaptive estimations of regression, distribution density and spectral density of a Gaussian stationary sequence, asymptotically optimal in order at a growing number of observation on any regular subspace compactly embedded in space $L_2$, and confidence intervals, also adaptive, are constructed on their basis for the estimated functions in an integral norm.

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