Minimax Estimation of Nonparametric Regression Through White Noise Problem

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ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Minimax Estimation of Nonparametric Regression Through White Noise Problem by : Yuhai Wu

Download or read book Minimax Estimation of Nonparametric Regression Through White Noise Problem written by Yuhai Wu and published by . This book was released on 1997 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Nonparametric Estimation

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Publisher : Springer Science & Business Media
ISBN 13 : 0387790527
Total Pages : 222 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Introduction to Nonparametric Estimation by : Alexandre B. Tsybakov

Download or read book Introduction to Nonparametric Estimation written by Alexandre B. Tsybakov and published by Springer Science & Business Media. This book was released on 2008-10-22 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On Minimax Estimation of Nearly Black Signals in Gaussian White Noise

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ISBN 13 :
Total Pages : 21 pages
Book Rating : 4.:/5 (123 download)

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Book Synopsis On Minimax Estimation of Nearly Black Signals in Gaussian White Noise by : Stanford University. Department of Statistics

Download or read book On Minimax Estimation of Nearly Black Signals in Gaussian White Noise written by Stanford University. Department of Statistics and published by . This book was released on 1991 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonparametric Curve Estimation

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226389
Total Pages : 423 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Nonparametric Curve Estimation by : Sam Efromovich

Download or read book Nonparametric Curve Estimation written by Sam Efromovich and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Crossing Boundaries

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Publisher : IMS
ISBN 13 : 9780940600584
Total Pages : 254 pages
Book Rating : 4.6/5 (5 download)

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Book Synopsis Crossing Boundaries by : John Edward Kolassa

Download or read book Crossing Boundaries written by John Edward Kolassa and published by IMS. This book was released on 2003 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Minimax Estimation in Regression and Random Censorship Models

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ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Minimax Estimation in Regression and Random Censorship Models by : Eduard N. Belitser

Download or read book Minimax Estimation in Regression and Random Censorship Models written by Eduard N. Belitser and published by . This book was released on 2000 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Deconvolution Problems in Nonparametric Statistics

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Publisher : Springer Science & Business Media
ISBN 13 : 3540875573
Total Pages : 211 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Deconvolution Problems in Nonparametric Statistics by : Alexander Meister

Download or read book Deconvolution Problems in Nonparametric Statistics written by Alexander Meister and published by Springer Science & Business Media. This book was released on 2009-12-24 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deconvolution problems occur in many ?elds of nonparametric statistics, for example, density estimation based on contaminated data, nonparametric - gression with errors-in-variables, image and signal deblurring. During the last two decades, those topics have received more and more attention. As appli- tions of deconvolution procedures concern many real-life problems in eco- metrics, biometrics, medical statistics, image reconstruction, one can realize an increasing number of applied statisticians who are interested in nonpa- metric deconvolution methods; on the other hand, some deep results from Fourier analysis, functional analysis, and probability theory are required to understand the construction of deconvolution techniques and their properties so that deconvolution is also particularly challenging for mathematicians. Thegeneraldeconvolutionprobleminstatisticscanbedescribedasfollows: Our goal is estimating a function f while any empirical access is restricted to some quantity h = f?G = f(x?y)dG(y), (1. 1) that is, the convolution of f and some probability distribution G. Therefore, f can be estimated from some observations only indirectly. The strategy is ˆ estimating h ?rst; this means producing an empirical version h of h and, then, ˆ applying a deconvolution procedure to h to estimate f. In the mathematical context, we have to invert the convolution operator with G where some reg- ˆ ularization is required to guarantee that h is contained in the invertibility ˆ domain of the convolution operator. The estimator h has to be chosen with respect to the speci?c statistical experiment.

A Unified Asymptotic Minimax Theory for Nonparametric Density Estimation and Nonparametric Regression

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ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis A Unified Asymptotic Minimax Theory for Nonparametric Density Estimation and Nonparametric Regression by : Mark Gordon Low

Download or read book A Unified Asymptotic Minimax Theory for Nonparametric Density Estimation and Nonparametric Regression written by Mark Gordon Low and published by . This book was released on 1989 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Statistical Modeling and Inference

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Publisher : World Scientific
ISBN 13 : 9812708294
Total Pages : 698 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Advances in Statistical Modeling and Inference by : Vijay Nair

Download or read book Advances in Statistical Modeling and Inference written by Vijay Nair and published by World Scientific. This book was released on 2007 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: There have been major developments in the field of statistics over the last quarter century, spurred by the rapid advances in computing and data-measurement technologies. These developments have revolutionized the field and have greatly influenced research directions in theory and methodology. Increased computing power has spawned entirely new areas of research in computationally-intensive methods, allowing us to move away from narrowly applicable parametric techniques based on restrictive assumptions to much more flexible and realistic models and methods. These computational advances have also led to the extensive use of simulation and Monte Carlo techniques in statistical inference. All of these developments have, in turn, stimulated new research in theoretical statistics. This volume provides an up-to-date overview of recent advances in statistical modeling and inference. Written by renowned researchers from across the world, it discusses flexible models, semi-parametric methods and transformation models, nonparametric regression and mixture models, survival and reliability analysis, and re-sampling techniques. With its coverage of methodology and theory as well as applications, the book is an essential reference for researchers, graduate students, and practitioners.

Proceedings of the International Congress of Mathematicians

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Publisher : Birkhäuser
ISBN 13 : 3034890788
Total Pages : 1669 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Proceedings of the International Congress of Mathematicians by : S.D. Chatterji

Download or read book Proceedings of the International Congress of Mathematicians written by S.D. Chatterji and published by Birkhäuser. This book was released on 2012-12-06 with total page 1669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)

Nonparametric Transformation to White Noise

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ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Nonparametric Transformation to White Noise by : Oliver B. Linton

Download or read book Nonparametric Transformation to White Noise written by Oliver B. Linton and published by . This book was released on 2008 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider a semiparametric distributed lag model in which the quot;news impact curvequot; m is nonparametric but the response is dynamic through some linear filters. A special case of this is a nonparametric regression with serially correlated errors. We propose an estimator of the news impact curve based on a dynamic transformation that produces white noise errors. This yields an estimating equation for m that is a type two linear integral equation. We investigate both the stationary case and the case where the error has a unit root. In the stationary case we establish the pointwise asymptotic normality. In the special case of a nonparametric regression subject to time series errors our estimator achieves efficiency improvements over the usual estimators, see Xiao, Linton, Carroll, and Mammen (2003). In the unit root case our procedure is consistent and asymptotically normal unlike the standard regression smoother. We also present the distribution theory for the parameter estimates, which is non-standard in the unit root case. We also investigate its finite sample performance through simulation experiments.

Missing and Modified Data in Nonparametric Estimation

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Publisher : CRC Press
ISBN 13 : 1351679848
Total Pages : 448 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Missing and Modified Data in Nonparametric Estimation by : Sam Efromovich

Download or read book Missing and Modified Data in Nonparametric Estimation written by Sam Efromovich and published by CRC Press. This book was released on 2018-03-12 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic and unified approach for modern nonparametric treatment of missing and modified data via examples of density and hazard rate estimation, nonparametric regression, filtering signals, and time series analysis. All basic types of missing at random and not at random, biasing, truncation, censoring, and measurement errors are discussed, and their treatment is explained. Ten chapters of the book cover basic cases of direct data, biased data, nondestructive and destructive missing, survival data modified by truncation and censoring, missing survival data, stationary and nonstationary time series and processes, and ill-posed modifications. The coverage is suitable for self-study or a one-semester course for graduate students with a prerequisite of a standard course in introductory probability. Exercises of various levels of difficulty will be helpful for the instructor and self-study. The book is primarily about practically important small samples. It explains when consistent estimation is possible, and why in some cases missing data should be ignored and why others must be considered. If missing or data modification makes consistent estimation impossible, then the author explains what type of action is needed to restore the lost information. The book contains more than a hundred figures with simulated data that explain virtually every setting, claim, and development. The companion R software package allows the reader to verify, reproduce and modify every simulation and used estimators. This makes the material fully transparent and allows one to study it interactively. Sam Efromovich is the Endowed Professor of Mathematical Sciences and the Head of the Actuarial Program at the University of Texas at Dallas. He is well known for his work on the theory and application of nonparametric curve estimation and is the author of Nonparametric Curve Estimation: Methods, Theory, and Applications. Professor Sam Efromovich is a Fellow of the Institute of Mathematical Statistics and the American Statistical Association.

Minimax Estimation of Non-random Signals

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ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Minimax Estimation of Non-random Signals by : Randall K. Bahr

Download or read book Minimax Estimation of Non-random Signals written by Randall K. Bahr and published by . This book was released on 1986 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Control

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Publisher : Elsevier
ISBN 13 : 1483298078
Total Pages : 533 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stochastic Control by : N.K. Sinha

Download or read book Stochastic Control written by N.K. Sinha and published by Elsevier. This book was released on 2014-05-23 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic control, the control of random processes, has become increasingly more important to the systems analyst and engineer. The Second IFAC Symposium on Stochastic Control represents current thinking on all aspects of stochastic control, both theoretical and practical, and as such represents a further advance in the understanding of such systems.

Topics in Stochastic Analysis and Nonparametric Estimation

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Publisher : Springer Science & Business Media
ISBN 13 : 0387751114
Total Pages : 223 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Topics in Stochastic Analysis and Nonparametric Estimation by : Pao-Liu Chow

Download or read book Topics in Stochastic Analysis and Nonparametric Estimation written by Pao-Liu Chow and published by Springer Science & Business Media. This book was released on 2010-07-19 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: To honor Rafail Z. Khasminskii, on his seventy-fifth birthday, for his contributions to stochastic processes and nonparametric estimation theory an IMA participating institution conference entitled "Conference on Asymptotic Analysis in Stochastic Processes, Nonparametric Estimation, and Related Problems" was held. This volume commemorates this special event. Dedicated to Professor Khasminskii, it consists of nine papers on various topics in probability and statistics.

Nonparametric Goodness-of-Fit Testing Under Gaussian Models

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Publisher : Springer Science & Business Media
ISBN 13 : 0387215808
Total Pages : 471 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Nonparametric Goodness-of-Fit Testing Under Gaussian Models by : Yuri Ingster

Download or read book Nonparametric Goodness-of-Fit Testing Under Gaussian Models written by Yuri Ingster and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the modern theory of nonparametric goodness-of-fit testing. It fills the gap in modern nonparametric statistical theory by discussing hypothesis testing and addresses mathematical statisticians who are interesting in the theory of non-parametric statistical inference. It will be of interest to specialists who are dealing with applied non-parametric statistical problems relevant in signal detection and transmission and in technical and medical diagnostics among others.

Fundamental Papers in Wavelet Theory

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Publisher : Princeton University Press
ISBN 13 : 1400827264
Total Pages : 897 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Fundamental Papers in Wavelet Theory by : Christopher Heil

Download or read book Fundamental Papers in Wavelet Theory written by Christopher Heil and published by Princeton University Press. This book was released on 2009-01-10 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.