Nonparametric Functional Estimation


Nonparametric Functional Estimation
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Nonparametric Functional Estimation


Nonparametric Functional Estimation
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Author : B. L. S. Prakasa Rao
language : en
Publisher: Academic Press
Release Date : 2014-07-10

Nonparametric Functional Estimation written by B. L. S. Prakasa Rao and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-10 with Mathematics categories.


Nonparametric Functional Estimation is a compendium of papers, written by experts, in the area of nonparametric functional estimation. This book attempts to be exhaustive in nature and is written both for specialists in the area as well as for students of statistics taking courses at the postgraduate level. The main emphasis throughout the book is on the discussion of several methods of estimation and on the study of their large sample properties. Chapters are devoted to topics on estimation of density and related functions, the application of density estimation to classification problems, and the different facets of estimation of distribution functions. Statisticians and students of statistics and engineering will find the text very useful.



Nonparametric Functional Estimation And Related Topics


Nonparametric Functional Estimation And Related Topics
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Author : G.G Roussas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Nonparametric Functional Estimation And Related Topics written by G.G Roussas and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


About three years ago, an idea was discussed among some colleagues in the Division of Statistics at the University of California, Davis, as to the possibility of holding an international conference, focusing exclusively on nonparametric curve estimation. The fruition of this idea came about with the enthusiastic support of this project by Luc Devroye of McGill University, Canada, and Peter Robinson of the London School of Economics, UK. The response of colleagues, contacted to ascertain interest in participation in such a conference, was gratifying and made the effort involved worthwhile. Devroye and Robinson, together with this editor and George Metakides of the University of Patras, Greece and of the European Economic Communities, Brussels, formed the International Organizing Committee for a two week long Advanced Study Institute (ASI) sponsored by the Scientific Affairs Division of the North Atlantic Treaty Organization (NATO). The ASI was held on the Greek Island of Spetses between July 29 and August 10, 1990. Nonparametric functional estimation is a central topic in statistics, with applications in numerous substantive fields in mathematics, natural and social sciences, engineering and medicine. While there has been interest in nonparametric functional estimation for many years, this has grown of late, owing to increasing availability of large data sets and the ability to process them by means of improved computing facilities, along with the ability to display the results by means of sophisticated graphical procedures.



Nonparametric Function Estimation Modeling And Simulation


Nonparametric Function Estimation Modeling And Simulation
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Author : James R. Thompson
language : en
Publisher: SIAM
Release Date : 1990-01-01

Nonparametric Function Estimation Modeling And Simulation written by James R. Thompson and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-01-01 with Mathematics categories.


Topics emphasized include nonparametric density estimation as an exploratory device plus the deeper models to which the exploratory analysis points, multi-dimensional data analysis, and analysis of remote sensing data, cancer progression, chaos theory, epidemiological modeling, and parallel based algorithms. New methods discussed are quick nonparametric density estimation based techniques for resampling and simulation based estimation techniques not requiring closed form solutions.



Optimal Plug In Estimators For Non Parametric Functional Estimation


Optimal Plug In Estimators For Non Parametric Functional Estimation
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Author : Stanford University. Department of Statistics
language : en
Publisher:
Release Date : 1990

Optimal Plug In Estimators For Non Parametric Functional Estimation written by Stanford University. Department of Statistics and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.




Functional Estimation For Density Regression Models And Processes


Functional Estimation For Density Regression Models And Processes
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Author : Odile Pons
language : en
Publisher: World Scientific
Release Date : 2011-03-21

Functional Estimation For Density Regression Models And Processes written by Odile Pons and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-21 with Mathematics categories.


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. Contents:IntroductionKernel Estimator of a DensityKernel Estimator of a Regression FunctionLimits for the Varying Bandwidths EstimatorsNonparametric Estimation of QuantilesNonparametric Estimation of Intensities for Stochastic ProcessesEstimation in Semi-Parametric Regression ModelsDiffusion ProcessesApplications to Time Series Readership: Advanced undergraduate and graduate students in mathematical statistics and computational statistics; researchers in mathematical or applied statistics; statisticians. Keywords:Kernel Estimation;Density;Regression;Intensity;Diffusion;Nonparametric;Weak Convergence;Ergodic Process;Intensity of Point Process;Kernel Estimation;Single-Index Models;Functional Time Series;Variable BandwidthKey Features:Covers a wide range of nonparametric models and presents new functional estimatorsContains a detailed presentation of the mathematical techniques for functional estimation with recent advances in their optimizationA valuable resource for scientific researchers who model observation dataReviews: “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



Functional Estimation For Density Regression Models And Processes Second Edition


Functional Estimation For Density Regression Models And Processes Second Edition
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Author : Odile Pons
language : en
Publisher: World Scientific
Release Date : 2023-09-22

Functional Estimation For Density Regression Models And Processes Second Edition written by Odile Pons and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-22 with Mathematics categories.


Nonparametric kernel estimators apply to the statistical analysis of independent or dependent sequences of random variables and for samples of continuous or discrete processes. The optimization of these procedures is based on the choice of a bandwidth that minimizes an estimation error and the weak convergence of the estimators is proved. This book introduces new mathematical results on statistical methods for the density and regression functions presented in the mathematical literature and for functions defining more complex models such as the models for the intensity of point processes, for the drift and variance of auto-regressive diffusions and the single-index regression models.This second edition presents minimax properties with Lp risks, for a real p larger than one, and optimal convergence results for new kernel estimators of function defining processes: models for multidimensional variables, periodic intensities, estimators of the distribution functions of censored and truncated variables, estimation in frailty models, estimators for time dependent diffusions, for spatial diffusions and for diffusions with stochastic volatility.



Shape Restricted Inference With Applications To Nonparametric Regression Smooth Nonparametric Function Estimation And Density Estimation


Shape Restricted Inference With Applications To Nonparametric Regression Smooth Nonparametric Function Estimation And Density Estimation
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Author : Mary Catherine Meyer
language : en
Publisher:
Release Date : 1996

Shape Restricted Inference With Applications To Nonparametric Regression Smooth Nonparametric Function Estimation And Density Estimation written by Mary Catherine Meyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.




Nonparametric Curve Estimation


Nonparametric Curve Estimation
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Author : Sam Efromovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-01-19

Nonparametric Curve Estimation written by Sam Efromovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-19 with Mathematics categories.


This book gives a systematic, comprehensive, and unified account of modern nonparametric statistics of density estimation, nonparametric regression, filtering signals, and time series analysis. The companion software package, available over the Internet, brings all of the discussed topics into the realm of interactive research. Virtually every claim and development mentioned in the book is illustrated with graphs which are available for the reader to reproduce and modify, making the material fully transparent and allowing for complete interactivity.



Nonparametric Function Estimation With Left Truncated And Right Censored Data


Nonparametric Function Estimation With Left Truncated And Right Censored Data
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Author : Jinho Park
language : en
Publisher:
Release Date : 1995

Nonparametric Function Estimation With Left Truncated And Right Censored Data written by Jinho Park and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.




Introduction To Nonparametric Estimation


Introduction To Nonparametric Estimation
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Author : Alexandre B. Tsybakov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-22

Introduction To Nonparametric Estimation written by Alexandre B. Tsybakov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-22 with Mathematics categories.


Developed from lecture notes and ready to be used for a course on the graduate level, this concise text aims to introduce the fundamental concepts of nonparametric estimation theory while maintaining the exposition suitable for a first approach in the field.