The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions and diffusions. They are estimated in the Hilbert spaces with respect to the distribution function of the regressors and their ...
Read More
The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions and diffusions. They are estimated in the Hilbert spaces with respect to the distribution function of the regressors and their optimal rates of convergence are proved. Their mean square errors depend on the size of the basis which is consistently estimated by cross-validation. Wavelets estimators are defined and studied in the same models.The choice of the basis, with suitable parametrizations, and their estimation improve the existing methods and leads to applications to a wide class of models. The rates of convergence of the series estimators are the best among all nonparametric estimators with a great improvement in multidimensional models. Original methods are developed for the estimation in deconvolution and inverse problems. The asymptotic properties of test statistics based on the estimators are also established.
Read Less
Add this copy of Orthonormal Series Estimators to cart. $68.85, new condition, Sold by A Book Corner rated 5.0 out of 5 stars, ships from Beaverton, OR, UNITED STATES, published 2019 by World Scientific Publishing Co.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Hardback. No dust jacket. Cover edges and corners in good shape. Spine is tight. Pages are clean, no markings, notes or stains. Ships from Friends bookstore to benefit Beaverton (Oregon) library.
Add this copy of Orthonormal Series Estimators to cart. $82.32, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2020 by World Scientific Publishing Co Pte Ltd.
Add this copy of Orthonormal Series Estimators to cart. $92.06, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2020 by World Scientific Publishing Co Pte Ltd.
Add this copy of Orthonormal Series Estimators to cart. $100.09, new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2020 by World Scientific Publishing Co Pte Ltd.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
New. Intended for college/higher education audience. In Stock. 100% Money Back Guarantee. Brand New, Perfect Condition, allow 4-14 business days for standard shipping. To Alaska, Hawaii, U.S. protectorate, P.O. box, and APO/FPO addresses allow 4-28 business days for Standard shipping. No expedited shipping. All orders placed with expedited shipping will be cancelled. Over 3, 000, 000 happy customers.
Add this copy of Orthonormal Series Estimators to cart. $100.09, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2020 by World Scientific Publishing Co Pte Ltd.
Add this copy of Orthonormal Series Estimators to cart. $106.24, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2020 by World Scientific Publishing Co Pte Ltd.
