Orthonormal Series Estimators

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Orthonormal Series Estimators

Author : Odile Pons
Publisher : World Scientific
ISBN 13 : 9811210705
Total Pages : 304 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Orthonormal Series Estimators by : Odile Pons

Download or read book Orthonormal Series Estimators written by Odile Pons and published by World Scientific. This book was released on 2020-01-22 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions and diffusions. They are estimated in the Hilbert spaces with respect to the distribution function of the regressors and their optimal rates of convergence are proved. Their mean square errors depend on the size of the basis which is consistently estimated by cross-validation. Wavelets estimators are defined and studied in the same models.The choice of the basis, with suitable parametrizations, and their estimation improve the existing methods and leads to applications to a wide class of models. The rates of convergence of the series estimators are the best among all nonparametric estimators with a great improvement in multidimensional models. Original methods are developed for the estimation in deconvolution and inverse problems. The asymptotic properties of test statistics based on the estimators are also established.

Statistical Theory

Author : Felix Abramovich
Publisher : CRC Press
ISBN 13 : 1000784746
Total Pages : 237 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Statistical Theory by : Felix Abramovich

Download or read book Statistical Theory written by Felix Abramovich and published by CRC Press. This book was released on 2022-12-23 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for a one-semester advanced undergraduate or graduate statistical theory course, Statistical Theory: A Concise Introduction, Second Edition clearly explains the underlying ideas, mathematics, and principles of major statistical concepts, including parameter estimation, confidence intervals, hypothesis testing, asymptotic analysis, Bayesian inference, linear models, nonparametric statistics, and elements of decision theory. It introduces these topics on a clear intuitive level using illustrative examples in addition to the formal definitions, theorems, and proofs. Based on the authors’ lecture notes, the book is self-contained, which maintains a proper balance between the clarity and rigor of exposition. In a few cases, the authors present a "sketched" version of a proof, explaining its main ideas rather than giving detailed technical mathematical and probabilistic arguments. Features: Second edition has been updated with a new chapter on Nonparametric Estimation; a significant update to the chapter on Statistical Decision Theory; and other updates throughout No requirement for heavy calculus, and simple questions throughout the text help students check their understanding of the material Each chapter also includes a set of exercises that range in level of difficulty Self-contained, and can be used by the students to understand the theory Chapters and sections marked by asterisks contain more advanced topics and may be omitted Special chapters on linear models and nonparametric statistics show how the main theoretical concepts can be applied to well-known and frequently used statistical tools The primary audience for the book is students who want to understand the theoretical basis of mathematical statistics—either advanced undergraduate or graduate students. It will also be an excellent reference for researchers from statistics and other quantitative disciplines.

Floods in a Changing Climate

Author : P. P. Mujumdar
Publisher : Cambridge University Press
ISBN 13 : 1107018765
Total Pages : 209 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Floods in a Changing Climate by : P. P. Mujumdar

Download or read book Floods in a Changing Climate written by P. P. Mujumdar and published by Cambridge University Press. This book was released on 2012-11-22 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides unique synthesis of various modeling methodologies used to aid planning and operational decision making, for academic researchers and professionals.

Missing and Modified Data in Nonparametric Estimation

Author : Sam Efromovich
Publisher : CRC Press
ISBN 13 : 135167983X
Total Pages : 867 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 867 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.

Nonparametric Curve Estimation

Author : Sam Efromovich
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.

Smoothing Techniques

Author : Wolfgang Härdle
Publisher : Springer Science & Business Media
ISBN 13 : 1461244323
Total Pages : 267 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Smoothing Techniques by : Wolfgang Härdle

Download or read book Smoothing Techniques written by Wolfgang Härdle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author has attempted to present a book that provides a non-technical introduction into the area of non-parametric density and regression function estimation. The application of these methods is discussed in terms of the S computing environment. Smoothing in high dimensions faces the problem of data sparseness. A principal feature of smoothing, the averaging of data points in a prescribed neighborhood, is not really practicable in dimensions greater than three if we have just one hundred data points. Additive models provide a way out of this dilemma; but, for their interactiveness and recursiveness, they require highly effective algorithms. For this purpose, the method of WARPing (Weighted Averaging using Rounded Points) is described in great detail.

Encyclopedia of Statistical Sciences, Volume 3

Author :
Publisher : John Wiley & Sons
ISBN 13 : 0471743844
Total Pages : 706 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Encyclopedia of Statistical Sciences, Volume 3 by :

Download or read book Encyclopedia of Statistical Sciences, Volume 3 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES

Advanced Linear Modeling

Author : Ronald Christensen
Publisher : Springer Science & Business Media
ISBN 13 : 1475738471
Total Pages : 412 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Advanced Linear Modeling by : Ronald Christensen

Download or read book Advanced Linear Modeling written by Ronald Christensen and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces several topics related to linear model theory, including: multivariate linear models, discriminant analysis, principal components, factor analysis, time series in both the frequency and time domains, and spatial data analysis. This second edition adds new material on nonparametric regression, response surface maximization, and longitudinal models. The book provides a unified approach to these disparate subjects and serves as a self-contained companion volume to the author's Plane Answers to Complex Questions: The Theory of Linear Models. Ronald Christensen is Professor of Statistics at the University of New Mexico. He is well known for his work on the theory and application of linear models having linear structure.

Detection and Estimation for Communication and Radar Systems

Author : Kung Yao
Publisher : Cambridge University Press
ISBN 13 : 1139619063
Total Pages : 335 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Detection and Estimation for Communication and Radar Systems by : Kung Yao

Download or read book Detection and Estimation for Communication and Radar Systems written by Kung Yao and published by Cambridge University Press. This book was released on 2013-01-17 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the fundamentals of detection and estimation theory, this systematic guide describes statistical tools that can be used to analyze, design, implement and optimize real-world systems. Detailed derivations of the various statistical methods are provided, ensuring a deeper understanding of the basics. Packed with practical insights, it uses extensive examples from communication, telecommunication and radar engineering to illustrate how theoretical results are derived and applied in practice. A unique blend of theory and applications and over 80 analytical and computational end-of-chapter problems make this an ideal resource for both graduate students and professional engineers.

Multivariate Density Estimation

Author : David W. Scott
Publisher : John Wiley & Sons
ISBN 13 : 047031768X
Total Pages : 350 pages
Book Rating : 4.4/5 (73 download)

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Book Synopsis Multivariate Density Estimation by : David W. Scott

Download or read book Multivariate Density Estimation written by David W. Scott and published by John Wiley & Sons. This book was released on 2009-09-25 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written to convey an intuitive feel for both theory and practice, its main objective is to illustrate what a powerful tool density estimation can be when used not only with univariate and bivariate data but also in the higher dimensions of trivariate and quadrivariate information. Major concepts are presented in the context of a histogram in order to simplify the treatment of advanced estimators. Features 12 four-color plates, numerous graphic illustrations as well as a multitude of problems and solutions.

Essential Wavelets for Statistical Applications and Data Analysis

Author : Todd Ogden
Publisher : Springer Science & Business Media
ISBN 13 : 1461207096
Total Pages : 218 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Essential Wavelets for Statistical Applications and Data Analysis by : Todd Ogden

Download or read book Essential Wavelets for Statistical Applications and Data Analysis written by Todd Ogden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub ject popular (Meyer's book is one of the early works written with the non specialist in mind), the implication seems to be that such an attempt some how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.

COMPSTAT 2006 - Proceedings in Computational Statistics

Author : Alfredo Rizzi
Publisher : Springer Science & Business Media
ISBN 13 : 3790817090
Total Pages : 530 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis COMPSTAT 2006 - Proceedings in Computational Statistics by : Alfredo Rizzi

Download or read book COMPSTAT 2006 - Proceedings in Computational Statistics written by Alfredo Rizzi and published by Springer Science & Business Media. This book was released on 2007-12-03 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Association for Statistical Computing The International Association for Statistical Computing (IASC) is a Section of the International Statistical Institute. The objectives of the Association are to foster world-wide interest in e?ective statistical computing and to - change technical knowledge through international contacts and meetings - tween statisticians, computing professionals, organizations, institutions, g- ernments and the general public. The IASC organises its own Conferences, IASC World Conferences, and COMPSTAT in Europe. The 17th Conference of ERS-IASC, the biennial meeting of European - gional Section of the IASC was held in Rome August 28 - September 1, 2006. This conference took place in Rome exactly 20 years after the 7th COMP- STAT symposium which was held in Rome, in 1986. Previous COMPSTAT conferences were held in: Vienna (Austria, 1974); West-Berlin (Germany, 1976); Leiden (The Netherlands, 1978); Edimbourgh (UK, 1980); Toulouse (France, 1982); Prague (Czechoslovakia, 1984); Rome (Italy, 1986); Copenhagen (Denmark, 1988); Dubrovnik (Yugoslavia, 1990); Neuchˆ atel (Switzerland, 1992); Vienna (Austria,1994); Barcelona (Spain, 1996);Bristol(UK,1998);Utrecht(TheNetherlands,2000);Berlin(Germany, 2002); Prague (Czech Republic, 2004).

Nonparametric Function Estimation, Modeling, and Simulation

Author : James R. Thompson
Publisher : SIAM
ISBN 13 : 9781611971712
Total Pages : 320 pages
Book Rating : 4.9/5 (717 download)

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Book Synopsis Nonparametric Function Estimation, Modeling, and Simulation by : James R. Thompson

Download or read book Nonparametric Function Estimation, Modeling, and Simulation written by James R. Thompson and published by SIAM. This book was released on 1990-01-01 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistics on Special Manifolds

Author : Yasuko Chikuse
Publisher : Springer Science & Business Media
ISBN 13 : 0387215409
Total Pages : 425 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistics on Special Manifolds by : Yasuko Chikuse

Download or read book Statistics on Special Manifolds written by Yasuko Chikuse and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.

Wavelets and Other Orthogonal Systems

Author : Gilbert G. Walter
Publisher : CRC Press
ISBN 13 : 1482285800
Total Pages : 391 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Wavelets and Other Orthogonal Systems by : Gilbert G. Walter

Download or read book Wavelets and Other Orthogonal Systems written by Gilbert G. Walter and published by CRC Press. This book was released on 2018-10-03 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bestseller in its first edition, Wavelets and Other Orthogonal Systems: Second Edition has been fully updated to reflect the recent growth and development of this field, especially in the area of multiwavelets. The authors have incorporated more examples and numerous illustrations to help clarify concepts. They have also added a considerable amount of new material, including sections addressing impulse trains, an alternate approach to periodic wavelets, and positive wavelet s. Other new discussions include irregular sampling in wavelet subspaces, hybrid wavelet sampling, interpolating multiwavelets, and several new statistics topics. With cutting-edge applications in data compression, image analysis, numerical analysis, and acoustics wavelets remain at the forefront of current research. Wavelets and Other Orthogonal Systems maintains its mathematical perspective in presenting wavelets in the same setting as other orthogonal systems, thus allowing their advantages and disadvantages to be seen more directly. Now even more student friendly, the second edition forms an outstanding text not only for graduate students in mathematics, but also for those interested in scientific and engineering applications.

Signal and Image Analysis for Biomedical and Life Sciences

Author : Changming Sun
Publisher : Springer
ISBN 13 : 3319109847
Total Pages : 286 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Signal and Image Analysis for Biomedical and Life Sciences by : Changming Sun

Download or read book Signal and Image Analysis for Biomedical and Life Sciences written by Changming Sun and published by Springer. This book was released on 2014-11-07 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: With an emphasis on applications of computational models for solving modern challenging problems in biomedical and life sciences, this book aims to bring collections of articles from biologists, medical/biomedical and health science researchers together with computational scientists to focus on problems at the frontier of biomedical and life sciences. The goals of this book are to build interactions of scientists across several disciplines and to help industrial users apply advanced computational techniques for solving practical biomedical and life science problems. This book is for users in the fields of biomedical and life sciences who wish to keep abreast with the latest techniques in signal and image analysis. The book presents a detailed description to each of the applications. It can be used by those both at graduate and specialist levels.

Comparing Distributions

Author : Olivier Thas
Publisher : Springer Science & Business Media
ISBN 13 : 0387927107
Total Pages : 358 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Comparing Distributions by : Olivier Thas

Download or read book Comparing Distributions written by Olivier Thas and published by Springer Science & Business Media. This book was released on 2010-03-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a self-contained comprehensive treatment of both one-sample and K-sample goodness-of-fit methods by linking them to a common theory backbone Contains many data examples, including R-code and a specific R-package for comparing distributions Emphesises informative statistical analysis rather than plain statistical hypothesis testing