Diagnostics For Multivariate Smoothing Splines

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Smoothing Methods in Statistics

Author : Jeffrey S. Simonoff
Publisher : Springer Science & Business Media
ISBN 13 : 0387947167
Total Pages : 356 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Smoothing Methods in Statistics by : Jeffrey S. Simonoff

Download or read book Smoothing Methods in Statistics written by Jeffrey S. Simonoff and published by Springer Science & Business Media. This book was released on 1996-06-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focussing on applications, this book covers a very broad range, including simple and complex univariate and multivariate density estimation, nonparametric regression estimation, categorical data smoothing, and applications of smoothing to other areas of statistics. It will thus be of particular interest to data analysts, as arguments generally proceed from actual data rather than statistical theory, while the "Background Material" sections will interest statisticians studying the field. Over 750 references allow researchers to find the original sources for more details, and the "Computational Issues" sections provide sources for statistical software that use the methods discussed. Each chapter includes exercises with a heavily computational focus based upon the data sets used in the book, making it equally suitable as a textbook for a course in smoothing.

Spline Smoothing and Nonparametric Regression

Author : Randall L. Eubank
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (5 download)

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Book Synopsis Spline Smoothing and Nonparametric Regression by : Randall L. Eubank

Download or read book Spline Smoothing and Nonparametric Regression written by Randall L. Eubank and published by . This book was released on 1988 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regression analysis; Nonparametric regression; Scope; What is a good estimator? Function spaces and series estimators; Kernel estimators; Smoothing splines; Smoothing splines: extensions and asymptotic theory; Least-squares splines and other estimators; Linear and nonlinear regression; Linear models; Nonlinear models; Bayesian interpretations and inference.

Handbook of Splines

Author : Gheorghe Micula
Publisher : Springer Science & Business Media
ISBN 13 : 9401153388
Total Pages : 622 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Handbook of Splines by : Gheorghe Micula

Download or read book Handbook of Splines written by Gheorghe Micula and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.

Robust Statistics, Data Analysis, and Computer Intensive Methods

Author : Helmut Rieder
Publisher : Springer Science & Business Media
ISBN 13 : 1461223806
Total Pages : 439 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Robust Statistics, Data Analysis, and Computer Intensive Methods by : Helmut Rieder

Download or read book Robust Statistics, Data Analysis, and Computer Intensive Methods written by Helmut Rieder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: To celebrate Peter Huber's 60th birthday in 1994, our university had invited for a festive occasion in the afternoon of Thursday, June 9. The invitation to honour this outstanding personality was followed by about fifty colleagues and former students from, mainly, allover the world. Others, who could not attend, sent their congratulations by mail and e-mail (P. Bickel:" ... It's hard to imagine that Peter turned 60 ... "). After a welcome address by Adalbert Kerber (dean), the following lectures were delivered. Volker Strassen (Konstanz): Almost Sure Primes and Cryptography -an Introduction Frank Hampel (Zurich): On the Philosophical Foundations of Statistics 1 Andreas Buja (Murray Hill): Projections and Sections High-Dimensional Graphics for Data Analysis. The distinguished speakers lauded Peter Huber a hard and fair mathematician, a cooperative and stimulating colleague, and an inspiring and helpful teacher. The Festkolloquium was surrounded with a musical program by the Univer 2 sity's Brass Ensemble. The subsequent Workshop "Robust Statistics, Data Analysis and Computer Intensive Methods" in Schloss Thurnau, Friday until Sunday, June 9-12, was organized about the areas in statistics that Peter Huber himself has markedly shaped. In the time since the conference, most of the contributions could be edited for this volume-a late birthday present-that may give a new impetus to further research in these fields.

Journal of Statistical Planning and Inference

Author : North-Holland Publishing Company
Publisher :
ISBN 13 :
Total Pages : 918 pages
Book Rating : 4.3/5 (758 download)

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Book Synopsis Journal of Statistical Planning and Inference by : North-Holland Publishing Company

Download or read book Journal of Statistical Planning and Inference written by North-Holland Publishing Company and published by . This book was released on 1988 with total page 918 pages. Available in PDF, EPUB and Kindle. Book excerpt:

AI '88

Author : Christopher J. Barter
Publisher : Springer Science & Business Media
ISBN 13 : 9783540520627
Total Pages : 476 pages
Book Rating : 4.5/5 (26 download)

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Book Synopsis AI '88 by : Christopher J. Barter

Download or read book AI '88 written by Christopher J. Barter and published by Springer Science & Business Media. This book was released on 1990-03-07 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: The broad objective of this conference series is to bring business, industry and researchers together to consider the current activities and future potential of artificial intelligence, encompassing both practical and theoretical issues. Many papers were submitted, including some from Canada, France, UK, USA, Sweden, Italy and Thailand.

Statistical Theory and Method Abstracts

Author :
Publisher :
ISBN 13 :
Total Pages : 786 pages
Book Rating : 4.:/5 (4 download)

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Book Synopsis Statistical Theory and Method Abstracts by :

Download or read book Statistical Theory and Method Abstracts written by and published by . This book was released on 1999 with total page 786 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smoothing Techniques for Curve Estimation

Author : T. Gasser
Publisher : Springer
ISBN 13 : 3540384758
Total Pages : 254 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Smoothing Techniques for Curve Estimation by : T. Gasser

Download or read book Smoothing Techniques for Curve Estimation written by T. Gasser and published by Springer. This book was released on 2006-12-08 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple Testing Procedures with Applications to Genomics

Author : Sandrine Dudoit
Publisher : Springer Science & Business Media
ISBN 13 : 0387493174
Total Pages : 611 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Multiple Testing Procedures with Applications to Genomics by : Sandrine Dudoit

Download or read book Multiple Testing Procedures with Applications to Genomics written by Sandrine Dudoit and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book establishes the theoretical foundations of a general methodology for multiple hypothesis testing and discusses its software implementation in R and SAS. These are applied to a range of problems in biomedical and genomic research, including identification of differentially expressed and co-expressed genes in high-throughput gene expression experiments; tests of association between gene expression measures and biological annotation metadata; sequence analysis; and genetic mapping of complex traits using single nucleotide polymorphisms. The procedures are based on a test statistics joint null distribution and provide Type I error control in testing problems involving general data generating distributions, null hypotheses, and test statistics.

Computing Science and Statistics

Author : Connie Page
Publisher : Springer Science & Business Media
ISBN 13 : 1461228565
Total Pages : 595 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Computing Science and Statistics by : Connie Page

Download or read book Computing Science and Statistics written by Connie Page and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interface '90 is the continuation of an ext!remely successful symposium series. The series has provided a forum for the interaction of professionals in statistics, computing science, and in numerical methods, wherein they may discuss a wide range of topics at the interface of these disciplines. This, the 22nd Symposium on the Interface: Computing Science and Statistics, was held 16-19 May, 1990 at the Kellogg Center on the campus of Michigan State University and is the third Symposium to be held under the recently organized Interface Foundation of North America. The Interface Board of Directors consists of the nine most recent Symposium Chairs: James E. Gentle, Lynne Billard, David M. Allen, Thomas J. Boardman, Richard M. Heiberger, Edward J. Wegman, Linda Malone, Raoul LePage, and Jon Kettenring. The officers of the Interface are William Eddy, Board Chairman and Executive Director; Edward Wegman, President and Treasurer; Lynne Billard, Secretary. My valued colleague Connie Page, Editor of this Proceedings Volume and generally bright and hardworking person, has organizational skills of a higher order which were successfully brought into play during many critical junctures not strictly connected with the Proceedings. Edward Wegman, Barbara Barringer, Bill Eddy, and George Styan all pitched in with useful information on numerous occasions. Our Keynote Speaker, Peter G. Hall and Plenary Speakers David L. Donoho, Jerome H. Friedman (who also gave a short course), Bruce Hajek, John Skilling, and C. F.

Multivariate Statistical Modelling Based on Generalized Linear Models

Author : Ludwig Fahrmeir
Publisher : Springer Science & Business Media
ISBN 13 : 1475734549
Total Pages : 537 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Multivariate Statistical Modelling Based on Generalized Linear Models by : Ludwig Fahrmeir

Download or read book Multivariate Statistical Modelling Based on Generalized Linear Models written by Ludwig Fahrmeir and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is aimed at applied statisticians, graduate students of statistics, and students and researchers with a strong interest in statistics and data analysis. This second edition is extensively revised, especially those sections relating with Bayesian concepts.

Statistical Methods for the Analysis of Repeated Measurements

Author : Charles S. Davis
Publisher : Springer Science & Business Media
ISBN 13 : 0387215735
Total Pages : 416 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Statistical Methods for the Analysis of Repeated Measurements by : Charles S. Davis

Download or read book Statistical Methods for the Analysis of Repeated Measurements written by Charles S. Davis and published by Springer Science & Business Media. This book was released on 2008-01-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive introduction to a wide variety of statistical methods for the analysis of repeated measurements. It is designed to be both a useful reference for practitioners and a textbook for a graduate-level course focused on methods for the analysis of repeated measurements. The important features of this book include a comprehensive coverage of classical and recent methods for continuous and categorical outcome variables; numerous homework problems at the end of each chapter; and the extensive use of real data sets in examples and homework problems.

Spline Models for Observational Data

Author : Grace Wahba
Publisher : SIAM
ISBN 13 : 0898712440
Total Pages : 174 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Spline Models for Observational Data by : Grace Wahba

Download or read book Spline Models for Observational Data written by Grace Wahba and published by SIAM. This book was released on 1990-09-01 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book serves well as an introduction into the more theoretical aspects of the use of spline models. It develops a theory and practice for the estimation of functions from noisy data on functionals. The simplest example is the estimation of a smooth curve, given noisy observations on a finite number of its values. Convergence properties, data based smoothing parameter selection, confidence intervals, and numerical methods are established which are appropriate to a number of problems within this framework. Methods for including side conditions and other prior information in solving ill posed inverse problems are provided. Data which involves samples of random variables with Gaussian, Poisson, binomial, and other distributions are treated in a unified optimization context. Experimental design questions, i.e., which functionals should be observed, are studied in a general context. Extensions to distributed parameter system identification problems are made by considering implicitly defined functionals.

Generalized Additive Models

Author : Simon Wood
Publisher : CRC Press
ISBN 13 : 1584884746
Total Pages : 412 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Generalized Additive Models by : Simon Wood

Download or read book Generalized Additive Models written by Simon Wood and published by CRC Press. This book was released on 2006-02-27 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 emphasizes recent penalized regression spline approaches to GAMs and the mixed model extensions of these models. Generalized Additive Models: An Introduction with R imparts a thorough understanding of the theory and practical applications of GAMs and related advanced models, enabling informed use of these very flexible tools. The author bases his approach on a framework of penalized regression splines, and builds a well-grounded foundation through motivating chapters on linear and generalized linear models. While firmly focused on the practical aspects of GAMs, discussions include fairly full explanations of the theory underlying the methods. Use of the freely available R software helps explain the theory and illustrates the practicalities of linear, generalized linear, and generalized additive models, as well as their mixed effect extensions. The treatment is rich with practical examples, and it includes an entire chapter on the analysis of real data sets using R and the author's add-on package mgcv. Each chapter includes exercises, for which complete solutions are provided in an appendix. Concise, comprehensive, and essentially self-contained, Generalized Additive Models: An Introduction with R prepares readers with the practical skills and the theoretical background needed to use and understand GAMs and to move on to other GAM-related methods and models, such as SS-ANOVA, P-splines, backfitting and Bayesian approaches to smoothing and additive modelling.

Smoothing Spline ANOVA Models

Author : Chong Gu
Publisher : Springer
ISBN 13 : 9781489989840
Total Pages : 0 pages
Book Rating : 4.9/5 (898 download)

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Book Synopsis Smoothing Spline ANOVA Models by : Chong Gu

Download or read book Smoothing Spline ANOVA Models written by Chong Gu and published by Springer. This book was released on 2015-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Information Criteria and Statistical Modeling

Author : Sadanori Konishi
Publisher : Springer Science & Business Media
ISBN 13 : 9780387718873
Total Pages : 276 pages
Book Rating : 4.7/5 (188 download)

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Book Synopsis Information Criteria and Statistical Modeling by : Sadanori Konishi

Download or read book Information Criteria and Statistical Modeling written by Sadanori Konishi and published by Springer Science & Business Media. This book was released on 2007-09-12 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical modeling is a critical tool in scientific research. This book provides comprehensive explanations of the concepts and philosophy of statistical modeling, together with a wide range of practical and numerical examples. The authors expect this work to be of great value not just to statisticians but also to researchers and practitioners in various fields of research such as information science, computer science, engineering, bioinformatics, economics, marketing and environmental science. It’s a crucial area of study, as statistical models are used to understand phenomena with uncertainty and to determine the structure of complex systems. They’re also used to control such systems, as well as to make reliable predictions in various natural and social science fields.

Statistical Decision Theory

Author : F. Liese
Publisher : Springer Science & Business Media
ISBN 13 : 0387731946
Total Pages : 696 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Statistical Decision Theory by : F. Liese

Download or read book Statistical Decision Theory written by F. Liese and published by Springer Science & Business Media. This book was released on 2008-12-30 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt: For advanced graduate students, this book is a one-stop shop that presents the main ideas of decision theory in an organized, balanced, and mathematically rigorous manner, while observing statistical relevance. All of the major topics are introduced at an elementary level, then developed incrementally to higher levels. The book is self-contained as it provides full proofs, worked-out examples, and problems. The authors present a rigorous account of the concepts and a broad treatment of the major results of classical finite sample size decision theory and modern asymptotic decision theory. With its broad coverage of decision theory, this book fills the gap between standard graduate texts in mathematical statistics and advanced monographs on modern asymptotic theory.