Adaptive Optimal Nonparametric Regression and Density Estimation Based on Fourier-Legendre Expansion

Details Adaptive Optimal Nonparametric Regression and Density Estimation Based on Fourier-Legendre Expansion Adaptive Optimal Nonparametric Regression and Density Estimation Based on Fourier-Legendre Expansion

2007-06-06

arxiv.org/abs/0706.0881v1

Mathematics

Statistics Theory

Scientific paper

Motivated by finance and technical applications, the objective of this paper
is to consider adaptive estimation of regression and density distribution based
on Fourier-Legendre expansion, and construction of confidence intervals - also
adaptive. The estimators are asymptotically optimal and adaptive in the sense
that they can adapt to unknown smoothness.

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