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Nonparametric Functional Estimation

Nonparametric Functional Estimation
Author: B. L. S. Prakasa Rao
Publisher: Academic Press
Total Pages: 539
Release: 2014-07-10
Genre: Mathematics
ISBN: 148326923X

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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
Author: G.G Roussas
Publisher: Springer Science & Business Media
Total Pages: 691
Release: 2012-12-06
Genre: Mathematics
ISBN: 9401132224

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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
Author: James R. Thompson
Publisher: SIAM
Total Pages: 320
Release: 1990-01-01
Genre: Mathematics
ISBN: 9781611971712

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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.


Introduction to Nonparametric Estimation

Introduction to Nonparametric Estimation
Author: Alexandre B. Tsybakov
Publisher: Springer Science & Business Media
Total Pages: 222
Release: 2008-10-22
Genre: Mathematics
ISBN: 0387790527

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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.


Nonparametric Kernel Density Estimation and Its Computational Aspects

Nonparametric Kernel Density Estimation and Its Computational Aspects
Author: Artur Gramacki
Publisher: Springer
Total Pages: 197
Release: 2017-12-21
Genre: Technology & Engineering
ISBN: 3319716883

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This book describes computational problems related to kernel density estimation (KDE) – one of the most important and widely used data smoothing techniques. A very detailed description of novel FFT-based algorithms for both KDE computations and bandwidth selection are presented. The theory of KDE appears to have matured and is now well developed and understood. However, there is not much progress observed in terms of performance improvements. This book is an attempt to remedy this. The book primarily addresses researchers and advanced graduate or postgraduate students who are interested in KDE and its computational aspects. The book contains both some background and much more sophisticated material, hence also more experienced researchers in the KDE area may find it interesting. The presented material is richly illustrated with many numerical examples using both artificial and real datasets. Also, a number of practical applications related to KDE are presented.


Nonparametric Functional Data Analysis

Nonparametric Functional Data Analysis
Author: Frédéric Ferraty
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2006-11-22
Genre: Mathematics
ISBN: 0387366202

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Modern apparatuses allow us to collect samples of functional data, mainly curves but also images. On the other hand, nonparametric statistics produces useful tools for standard data exploration. This book links these two fields of modern statistics by explaining how functional data can be studied through parameter-free statistical ideas. At the same time it shows how functional data can be studied through parameter-free statistical ideas, and offers an original presentation of new nonparametric statistical methods for functional data analysis.


Nonparametric Curve Estimation

Nonparametric Curve Estimation
Author: Sam Efromovich
Publisher: Springer Science & Business Media
Total Pages: 423
Release: 2008-01-19
Genre: Mathematics
ISBN: 0387226389

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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.


Functional Estimation for Density, Regression Models and Processes

Functional Estimation for Density, Regression Models and Processes
Author: Odile Pons
Publisher: World Scientific
Total Pages: 210
Release: 2011
Genre: Mathematics
ISBN: 9814343749

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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