Wow! eBook
Functional Estimation for Density, Regression Models and Processes
Author(s): Pons, Odile, (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: 21 Mar. 2011
- Edition: Illustrated
- Language: English
- Print length: 212 pages
- ISBN-10: 9814343730
- ISBN-13: 9789814343732
Book Description
This book presents a unified approach on nonparametric estimators for models of independent observations, jump processes and continuous processes. New estimators are defined and their limiting behavior is studied. From a practical point of view, the book expounds on the construction of estimators for functionals of processes and densities, and provides asymptotic expansions and optimality properties from smooth estimators.
It also presents new regular estimators for functionals of processes, compares histogram and kernel estimators, compares several new estimators for single-index models, and it examines the weak convergence of the estimators.
Editorial Reviews
Review
This book is useful for researchers interested in the study of asymptotic properties of different types of optimum estimators obtained through the method of kernels. — Mathematical Reviews “Mathematical Reviews”
From the Back Cover
This book presents a unified approach on nonparametric estimators for models of independent observations, jump processes and continuous processes. New estimators are defined and their limiting behavior is studied. From a practical point of view, the book expounds on the construction of estimators for functionals of processes and densities, and provides asymptotic expansions and optimality properties from smooth estimators.
It also presents new regular estimators for functionals of processes, compares histogram and kernel estimators of several new estimators for single-index models, and examines the weak convergence of the estimators.
