Smoothing Spline Anova Models

Author : Chong Gu
Publisher : Springer Science & Business Media
Page : 301 pages
File Size : 51,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475736830

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Smoothing Spline ANOVA Models by Chong Gu Pdf

Smoothing methods are an active area of research. In this book, the author presents a comprehensive treatment of penalty smoothing under a unified framework. Methods are developed for (i) regression with Gaussian and non-Gaussian responses as well as with censored life time data; (ii) density and conditional density estimation under a variety of sampling schemes; and (iii) hazard rate estimation with censored life time data and covariates. Extensive discussions are devoted to model construction, smoothing parameter selection, computation, and asymptotic convergence. Most of the computational and data analytical tools discussed in the book are implemented in R, an open-source clone of the popular S/S- PLUS language.

Author : Chong Gu
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 44,9 Mb
Release : 2013-01-26
Category : Mathematics
ISBN : 9781461453697

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Smoothing Spline ANOVA Models by Chong Gu Pdf

Nonparametric function estimation with stochastic data, otherwise known as smoothing, has been studied by several generations of statisticians. Assisted by the ample computing power in today's servers, desktops, and laptops, smoothing methods have been finding their ways into everyday data analysis by practitioners. While scores of methods have proved successful for univariate smoothing, ones practical in multivariate settings number far less. Smoothing spline ANOVA models are a versatile family of smoothing methods derived through roughness penalties, that are suitable for both univariate and multivariate problems. In this book, the author presents a treatise on penalty smoothing under a unified framework. Methods are developed for (i) regression with Gaussian and non-Gaussian responses as well as with censored lifetime data; (ii) density and conditional density estimation under a variety of sampling schemes; and (iii) hazard rate estimation with censored life time data and covariates. The unifying themes are the general penalized likelihood method and the construction of multivariate models with built-in ANOVA decompositions. Extensive discussions are devoted to model construction, smoothing parameter selection, computation, and asymptotic convergence. Most of the computational and data analytical tools discussed in the book are implemented in R, an open-source platform for statistical computing and graphics. Suites of functions are embodied in the R package gss, and are illustrated throughout the book using simulated and real data examples. This monograph will be useful as a reference work for researchers in theoretical and applied statistics as well as for those in other related disciplines. It can also be used as a text for graduate level courses on the subject. Most of the materials are accessible to a second year graduate student with a good training in calculus and linear algebra and working knowledge in basic statistical inferences such as linear models and maximum likelihood estimates.

Author : Yuedong Wang
Publisher : CRC Press
Page : 380 pages
File Size : 40,9 Mb
Release : 2011-06-22
Category : Computers
ISBN : 9781420077568

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Smoothing Splines by Yuedong Wang Pdf

A general class of powerful and flexible modeling techniques, spline smoothing has attracted a great deal of research attention in recent years and has been widely used in many application areas, from medicine to economics. Smoothing Splines: Methods and Applications covers basic smoothing spline models, including polynomial, periodic, spherical, t

Author : Young Kinh-Nhue Truong,Muhammad Sarfraz
Publisher : BoD – Books on Demand
Page : 162 pages
File Size : 45,5 Mb
Release : 2018-06-06
Category : Computers
ISBN : 9781789232509

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Topics in Splines and Applications by Young Kinh-Nhue Truong,Muhammad Sarfraz Pdf

Splines provide a significant tool for the design of computationally economical curves and surfaces for the construction of various objects like automobiles, ship hulls, airplane fuselages and wings, propeller blades, shoe insoles, bottles, etc. It also contributes in the description of geological, physical, statistical, and even medical phenomena. Spline methods have proven to be indispensable in a variety of modern industries, including computer vision, robotics, signal and image processing, visualization, textile, graphic designs, and even media. This book aims to provide a valuable source on splines and their applications. It focuses on collecting and disseminating information in various disciplines including computer-aided geometric design, computer graphics, data visualization, data fitting, power systems, clinical and epidemiologic studies, disease detection, regression curves, social media, and biological studies. The book is useful for researchers, scientists, practitioners, and many others who seek state-of-the-art techniques and applications using splines. It is also useful for undergraduate senior students as well as graduate students in the areas of computer science, engineering, health science, statistics, and mathematics. Each chapter also provides useful information on software developments and their extensions.

Author : William W. S. Wei
Publisher : John Wiley & Sons
Page : 536 pages
File Size : 40,6 Mb
Release : 2019-03-18
Category : Mathematics
ISBN : 9781119502852

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Multivariate Time Series Analysis and Applications by William W. S. Wei Pdf

An essential guide on high dimensional multivariate time series including all the latest topics from one of the leading experts in the field Following the highly successful and much lauded book, Time Series Analysis—Univariate and Multivariate Methods, this new work by William W.S. Wei focuses on high dimensional multivariate time series, and is illustrated with numerous high dimensional empirical time series. Beginning with the fundamentalconcepts and issues of multivariate time series analysis,this book covers many topics that are not found in general multivariate time series books. Some of these are repeated measurements, space-time series modelling, and dimension reduction. The book also looks at vector time series models, multivariate time series regression models, and principle component analysis of multivariate time series. Additionally, it provides readers with information on factor analysis of multivariate time series, multivariate GARCH models, and multivariate spectral analysis of time series. With the development of computers and the internet, we have increased potential for data exploration. In the next few years, dimension will become a more serious problem. Multivariate Time Series Analysis and its Applications provides some initial solutions, which may encourage the development of related software needed for the high dimensional multivariate time series analysis. Written by bestselling author and leading expert in the field Covers topics not yet explored in current multivariate books Features classroom tested material Written specifically for time series courses Multivariate Time Series Analysis and its Applications is designed for an advanced time series analysis course. It is a must-have for anyone studying time series analysis and is also relevant for students in economics, biostatistics, and engineering.

Author : Liuping Wang,Hugues Garnier
Publisher : Springer Science & Business Media
Page : 653 pages
File Size : 51,7 Mb
Release : 2011-10-20
Category : Technology & Engineering
ISBN : 9780857299741

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System Identification, Environmental Modelling, and Control System Design by Liuping Wang,Hugues Garnier Pdf

This book is dedicated to Prof. Peter Young on his 70th birthday. Professor Young has been a pioneer in systems and control, and over the past 45 years he has influenced many developments in this field. This volume comprises a collection of contributions by leading experts in system identification, time-series analysis, environmetric modelling and control system design – modern research in topics that reflect important areas of interest in Professor Young’s research career. Recent theoretical developments in and relevant applications of these areas are explored treating the various subjects broadly and in depth. The authoritative and up-to-date research presented here will be of interest to academic researcher in control and disciplines related to environmental research, particularly those to with water systems. The tutorial style in which many of the contributions are composed also makes the book suitable as a source of study material for graduate students in those areas.

Author : Peter A. Vanrolleghem
Publisher : IWA Publishing
Page : 353 pages
File Size : 46,6 Mb
Release : 2010-04-30
Category : Science
ISBN : 9781843392231

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Modelling Aspects of Water Framework Directive Implementation by Peter A. Vanrolleghem Pdf

Special Offer: Water Framework Directive Series Set. To buy all four titles including Volume 3 and save £100, visit: http://iwapublishing.com/books/9781780400013/water-framework-directive-series-set Modelling Aspects of Water Framework Directive Implementation: Volume 1 is a concrete outcome from the Harmoni-CA concerted action as part of a 4-volume series of Guidance Reports that guide water professionals through the implementation process of the Water Framework Directive, with a focus on the use of ICT-tools (and in particular modelling). They are complementary to the Guidance Documents produced by the EU Directorate General for Environment. Water resources planning and management and the development of appropriate policies require methodologies and tools that are able to support systematic, integrative and multidisciplinary assessments at various scales. It also requires the quantification of various uncertainties in both data and models, and the incorporation of stakeholders participation and institutional mechanisms into the various tools and risk assessment methodologies, to help decision makers understand and evaluate alternative measures and decisions. The other three volumes in the Water Framework Directive Series are: Water Framework Directive: Model supported Implementation - A Water Manager’s Guide edited by Fred Hattermann and Zbigniew W Kundzewicz Integrated Assessment for WFD implementation: Data, economic and human dimension - Volume 2, edited by Peter A. Vanrolleghem Decision support for WFD implementation - Volume 3, edited by Peter A. Vanrolleghem. Visit the IWA WaterWiki to read and share material related to this title: http://www.iwawaterwiki.org/xwiki/bin/view/Articles/IntegratedAssessmentforWaterFrameworkDirectiveImplementation

Author : Zhenren Luo
Publisher : Unknown
Page : 270 pages
File Size : 51,5 Mb
Release : 1996
Category : Electronic
ISBN : WISC:89056380017

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Backfitting in Smoothing Spline Anova, with Application to Historical Global Temperature Data by Zhenren Luo Pdf

Author : Paul Van Den Hof,Bo Wahlberg,Siep Weiland
Publisher : Elsevier
Page : 2080 pages
File Size : 51,5 Mb
Release : 2004-06-29
Category : Technology & Engineering
ISBN : 0080437095

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System Identification (SYSID '03) by Paul Van Den Hof,Bo Wahlberg,Siep Weiland Pdf

The scope of the symposium covers all major aspects of system identification, experimental modelling, signal processing and adaptive control, ranging from theoretical, methodological and scientific developments to a large variety of (engineering) application areas. It is the intention of the organizers to promote SYSID 2003 as a meeting place where scientists and engineers from several research communities can meet to discuss issues related to these areas. Relevant topics for the symposium program include: Identification of linear and multivariable systems, identification of nonlinear systems, including neural networks, identification of hybrid and distributed systems, Identification for control, experimental modelling in process control, vibration and modal analysis, model validation, monitoring and fault detection, signal processing and communication, parameter estimation and inverse modelling, statistical analysis and uncertainty bounding, adaptive control and data-based controller tuning, learning, data mining and Bayesian approaches, sequential Monte Carlo methods, including particle filtering, applications in process control systems, motion control systems, robotics, aerospace systems, bioengineering and medical systems, physical measurement systems, automotive systems, econometrics, transportation and communication systems *Provides the latest research on System Identification *Contains contributions written by experts in the field *Part of the IFAC Proceedings Series which provides a comprehensive overview of the major topics in control engineering.

Author : Randall L. Eubank
Publisher : CRC Press
Page : 368 pages
File Size : 49,6 Mb
Release : 1999-02-09
Category : Mathematics
ISBN : 0824793374

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Nonparametric Regression and Spline Smoothing, Second Edition by Randall L. Eubank Pdf

Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators; detailed asymptotics for polynomial regression; testing goodness-of-fit; estimation in partially linear models; practical aspects, problems and methods for confidence intervals and bands; local polynomial regression; and form and asymptotic properties of linear smoothing splines.

Author : Marloes Maathuis,Mathias Drton,Steffen Lauritzen,Martin Wainwright
Publisher : CRC Press
Page : 666 pages
File Size : 52,8 Mb
Release : 2018-11-12
Category : Mathematics
ISBN : 9780429874239

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Handbook of Graphical Models by Marloes Maathuis,Mathias Drton,Steffen Lauritzen,Martin Wainwright Pdf

A graphical model is a statistical model that is represented by a graph. The factorization properties underlying graphical models facilitate tractable computation with multivariate distributions, making the models a valuable tool with a plethora of applications. Furthermore, directed graphical models allow intuitive causal interpretations and have become a cornerstone for causal inference. While there exist a number of excellent books on graphical models, the field has grown so much that individual authors can hardly cover its entire scope. Moreover, the field is interdisciplinary by nature. Through chapters by leading researchers from different areas, this handbook provides a broad and accessible overview of the state of the art. Key features: * Contributions by leading researchers from a range of disciplines * Structured in five parts, covering foundations, computational aspects, statistical inference, causal inference, and applications * Balanced coverage of concepts, theory, methods, examples, and applications * Chapters can be read mostly independently, while cross-references highlight connections The handbook is targeted at a wide audience, including graduate students, applied researchers, and experts in graphical models.

Author : Michael A. Arbib
Publisher : MIT Press
Page : 1328 pages
File Size : 46,9 Mb
Release : 2003
Category : Neural circuitry
ISBN : 9780262011976

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The Handbook of Brain Theory and Neural Networks by Michael A. Arbib Pdf

This second edition presents the enormous progress made in recent years in the many subfields related to the two great questions : how does the brain work? and, How can we build intelligent machines? This second edition greatly increases the coverage of models of fundamental neurobiology, cognitive neuroscience, and neural network approaches to language. (Midwest).

Author : Vijay Nair
Publisher : World Scientific
Page : 698 pages
File Size : 49,7 Mb
Release : 2007
Category : Mathematics
ISBN : 9789812708298

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Advances in Statistical Modeling and Inference by Vijay Nair Pdf

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.

Author : Simon N. Wood
Publisher : CRC Press
Page : 404 pages
File Size : 48,6 Mb
Release : 2006-02-27
Category : Mathematics
ISBN : 9781420010404

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Generalized Additive Models by Simon N. Wood Pdf

Now in widespread use, generalized additive models (GAMs) have evolved into a standard statistical methodology of considerable flexibility. While Hastie and Tibshirani's outstanding 1990 research monograph on GAMs is largely responsible for this, there has been a long-standing need for an accessible introductory treatment of the subject that also e

Author : Garrett Fitzmaurice,Marie Davidian,Geert Verbeke,Geert Molenberghs
Publisher : CRC Press
Page : 633 pages
File Size : 46,6 Mb
Release : 2008-08-11
Category : Mathematics
ISBN : 9781420011579

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Longitudinal Data Analysis by Garrett Fitzmaurice,Marie Davidian,Geert Verbeke,Geert Molenberghs Pdf

Although many books currently available describe statistical models and methods for analyzing longitudinal data, they do not highlight connections between various research threads in the statistical literature. Responding to this void, Longitudinal Data Analysis provides a clear, comprehensive, and unified overview of state-of-the-art theory