Functional Estimation For Density, Regression Models And Processes

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Bibliographic Details
Title: Functional Estimation For Density, Regression Models And Processes
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.
Authors: Odile Pons
Resource Type: eBook.
Subjects: Nonparametric statistics, Estimation theory
Categories: MATHEMATICS / Probability & Statistics / Regression Analysis, MATHEMATICS / Applied, MATHEMATICS / Probability & Statistics / General
Database: eBook Collection (EBSCOhost)
Description
Abstract: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.
ISBN:9789814343732
9789814343749