Foundations of Linear and Generalized Linear Models

Author: Alan Agresti

Publisher: John Wiley & Sons

ISBN: 1118730038

Category: Mathematics

Page: 444

View: 5631

"This book presents an overview of the foundations and the key ideas and results of linear and generalized linear models under one cover. Written by a prolific academic, researcher, and textbook writer, Foundations of Linear and Generalized Linear Modelsis soon to become the gold standard by which all existing textbooks on the topic will be compared. While the emphasis is clearly and succinctly on theoretical underpinnings, applications in "R" are presented when they help to elucidate the content or promote practical model building. Each chapter contains approximately 15-20 exercises, primarily for readers to practice and extend the theory, but, also to assimilate the ideas by doing some data analysis. The carefully crafted models and examples convey basic concepts and do not get mired down in non-trivial considerations. An author-maintained web site includes, among other numerous pedagogical supplements, analyses that parallel the "R" routines from the book in SAS, SPSS and Stata"--
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An Introduction to Categorical Data Analysis

Author: Alan Agresti

Publisher: Wiley

ISBN: 1119405262

Category: Mathematics

Page: 400

View: 3131

A valuable new edition of a standard reference The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data. Adding to the value in the new edition is: • Illustrations of the use of R software to perform all the analyses in the book • A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis • New sections in many chapters introducing the Bayesian approach for the methods of that chapter • More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets • An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more. An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.
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Generalized Linear Models

with Applications in Engineering and the Sciences

Author: Raymond H. Myers,Douglas C. Montgomery,G. Geoffrey Vining,Timothy J. Robinson

Publisher: John Wiley & Sons

ISBN: 0470556978

Category: Mathematics

Page: 544

View: 4925

Praise for the First Edition "The obvious enthusiasm of Myers, Montgomery, and Vining and their reliance on their many examples as a major focus of their pedagogy make Generalized Linear Models a joy to read. Every statistician working in any area of applied science should buy it and experience the excitement of these new approaches to familiar activities." —Technometrics Generalized Linear Models: With Applications in Engineering and the Sciences, Second Edition continues to provide a clear introduction to the theoretical foundations and key applications of generalized linear models (GLMs). Maintaining the same nontechnical approach as its predecessor, this update has been thoroughly extended to include the latest developments, relevant computational approaches, and modern examples from the fields of engineering and physical sciences. This new edition maintains its accessible approach to the topic by reviewing the various types of problems that support the use of GLMs and providing an overview of the basic, related concepts such as multiple linear regression, nonlinear regression, least squares, and the maximum likelihood estimation procedure. Incorporating the latest developments, new features of this Second Edition include: A new chapter on random effects and designs for GLMs A thoroughly revised chapter on logistic and Poisson regression, now with additional results on goodness of fit testing, nominal and ordinal responses, and overdispersion A new emphasis on GLM design, with added sections on designs for regression models and optimal designs for nonlinear regression models Expanded discussion of weighted least squares, including examples that illustrate how to estimate the weights Illustrations of R code to perform GLM analysis The authors demonstrate the diverse applications of GLMs through numerous examples, from classical applications in the fields of biology and biopharmaceuticals to more modern examples related to engineering and quality assurance. The Second Edition has been designed to demonstrate the growing computational nature of GLMs, as SAS®, Minitab®, JMP®, and R software packages are used throughout the book to demonstrate fitting and analysis of generalized linear models, perform inference, and conduct diagnostic checking. Numerous figures and screen shots illustrating computer output are provided, and a related FTP site houses supplementary material, including computer commands and additional data sets. Generalized Linear Models, Second Edition is an excellent book for courses on regression analysis and regression modeling at the upper-undergraduate and graduate level. It also serves as a valuable reference for engineers, scientists, and statisticians who must understand and apply GLMs in their work.
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Theoretical Foundations of Functional Data Analysis, with an Introduction to Linear Operators

Author: Tailen Hsing,Randall Eubank

Publisher: John Wiley & Sons

ISBN: 0470016914

Category: Mathematics

Page: 480

View: 7858

Functional data is data in the form of curves that is becoming a popular method for interpreting scientific data. Statistical Analysis of Functional Data provides an authoritative account of function data analysis covering its foundations, theory, methodology, and practical implementation. It also contains examples taken from a wide range of disciplines, including finance, medicine, and psychology. The book includes a supporting Web site hosting the real data sets analyzed in the book and related software. Statistical researchers or practitioners analyzing functional data will find this book useful.
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Multivariate Density Estimation

Theory, Practice, and Visualization

Author: David W. Scott

Publisher: John Wiley & Sons

ISBN: 1118575482

Category: Mathematics

Page: 384

View: 9435

Clarifies modern data analysis through nonparametric density estimation for a complete working knowledge of the theory and methods Featuring a thoroughly revised presentation, Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition maintains an intuitive approach to the underlying methodology and supporting theory of density estimation. Including new material and updated research in each chapter, the Second Edition presents additional clarification of theoretical opportunities, new algorithms, and up-to-date coverage of the unique challenges presented in the field of data analysis. The new edition focuses on the various density estimation techniques and methods that can be used in the field of big data. Defining optimal nonparametric estimators, the Second Edition demonstrates the density estimation tools to use when dealing with various multivariate structures in univariate, bivariate, trivariate, and quadrivariate data analysis. Continuing to illustrate the major concepts in the context of the classical histogram, Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition also features: Over 150 updated figures to clarify theoretical results and to show analyses of real data sets An updated presentation of graphic visualization using computer software such as R A clear discussion of selections of important research during the past decade, including mixture estimation, robust parametric modeling algorithms, and clustering More than 130 problems to help readers reinforce the main concepts and ideas presented Boxed theorems and results allowing easy identification of crucial ideas Figures in color in the digital versions of the book A website with related data sets Multivariate Density Estimation: Theory, Practice, and Visualization, Second Edition is an ideal reference for theoretical and applied statisticians, practicing engineers, as well as readers interested in the theoretical aspects of nonparametric estimation and the application of these methods to multivariate data. The Second Edition is also useful as a textbook for introductory courses in kernel statistics, smoothing, advanced computational statistics, and general forms of statistical distributions.
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Aufladung der Verbrennungskraftmaschine

Author: Hermann Hiereth,Peter Prenninger

Publisher: Springer-Verlag

ISBN: 3709106508

Category: Technology & Engineering

Page: 273

View: 1600

Das Buch behandelt die Aufladung der Kolben-Verbrennungskraftmaschine. Dabei wird auf die Aufladegeräte und -systeme selbst, die theoretischen Zusammenhänge des Zusammenwirkens Motor und Auflade-Systeme sowie schlussendlich auf die Kriterien des Zusammenwirkens dieser System-Kombination – unter besonderer Berücksichtigung des Betriebsverhaltens – eingegangen. Es werden neue Erkenntnisse bei der Entwicklung und Adaption von Aufladesystemen, neue Darstellungsformen sowie die heute angewandten Berechnungs- und Simulationsverfahren vorgestellt, mit Beispielen erläutert und bewertet. Einen Schwerpunkt bildet das Betriebs- und Regelverhalten aufgeladener Verbrennungsmotoren in den verschiedenen Anwendungs- bzw. Einsatzgebieten. Eine Reihe ausgewählter Anwendungsbeispiele sowie ein Ausblick auf mögliche Weiterentwicklungen des Systems "Auflade-Motor" beschließen die Abhandlung.
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Foundations of Statistical Analyses and Applications with SAS

Author: Michael Falk,Frank Marohn,Bernward Tewes

Publisher: Springer Science & Business Media

ISBN: 9783764368937

Category: Mathematics

Page: 402

View: 7059

This book links up the theory of a selection of statistical procedures used in general practice with their application to real world data sets using the statistical software package SAS (Statistical Analysis System). These applications are intended to illustrate the theory and to provide, simultaneously, the ability to use the knowledge effectively and readily in execution.
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Predictive Modeling Applications in Actuarial Science: Volume 1, Predictive Modeling Techniques

Author: Edward W. Frees,Richard A. Derrig,Glenn Meyers

Publisher: Cambridge University Press

ISBN: 1139992317

Category: Business & Economics

Page: N.A

View: 3542

Predictive modeling involves the use of data to forecast future events. It relies on capturing relationships between explanatory variables and the predicted variables from past occurrences and exploiting this to predict future outcomes. Forecasting future financial events is a core actuarial skill - actuaries routinely apply predictive-modeling techniques in insurance and other risk-management applications. This book is for actuaries and other financial analysts who are developing their expertise in statistics and wish to become familiar with concrete examples of predictive modeling. The book also addresses the needs of more seasoned practising analysts who would like an overview of advanced statistical topics that are particularly relevant in actuarial practice. Predictive Modeling Applications in Actuarial Science emphasizes lifelong learning by developing tools in an insurance context, providing the relevant actuarial applications, and introducing advanced statistical techniques that can be used by analysts to gain a competitive advantage in situations with complex data.
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Predictive Modeling Applications in Actuarial Science

Author: Edward W. Frees,Richard A. Derrig,Glenn Meyers

Publisher: Cambridge University Press

ISBN: 1107029872

Category: Business & Economics

Page: 544

View: 8792

This book is for actuaries and financial analysts developing their expertise in statistics and who wish to become familiar with concrete examples of predictive modeling.
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Foundations of Statistical Inference

Proceedings of the Shoresh Conference 2000

Author: Yoel Haitovsky,Hans Rudolf Lerche,Ya'acov Ritov

Publisher: Springer Science & Business Media

ISBN: 3642574106

Category: Mathematics

Page: 230

View: 7267

This volume is a collection of papers presented at a conference held in Shoresh Holiday Resort near Jerusalem, Israel, in December 2000 organized by the Israeli Ministry of Science, Culture and Sport. The theme of the conference was "Foundation of Statistical Inference: Applications in the Medical and Social Sciences and in Industry and the Interface of Computer Sciences". The following is a quotation from the Program and Abstract booklet of the conference. "Over the past several decades, the field of statistics has seen tremendous growth and development in theory and methodology. At the same time, the advent of computers has facilitated the use of modern statistics in all branches of science, making statistics even more interdisciplinary than in the past; statistics, thus, has become strongly rooted in all empirical research in the medical, social, and engineering sciences. The abundance of computer programs and the variety of methods available to users brought to light the critical issues of choosing models and, given a data set, the methods most suitable for its analysis. Mathematical statisticians have devoted a great deal of effort to studying the appropriateness of models for various types of data, and defining the conditions under which a particular method work. " In 1985 an international conference with a similar title* was held in Is rael. It provided a platform for a formal debate between the two main schools of thought in Statistics, the Bayesian, and the Frequentists.
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Relationen und Graphen

Author: Gunther Schmidt,Thomas Ströhlein

Publisher: Springer-Verlag

ISBN: 3642836089

Category: Mathematics

Page: 306

View: 4592

Dieses Buch gibt eine neuartige systematische Darstellung der Diskreten Mathematik; sie orientiert sich an Methoden der Relationenalgebra. Ähnlich wie man es sonst nur für die weit entwickelte Analysis im kontinuierlichen Fall und die Matrizenrechnung gewohnt ist, stellt dieses Buch auch für die Behandlung diskreter Probleme geeignete Techniken und Hilfsmittel sowie eine einheitliche Theorie bereit. Die einzelnen Kapitel beginnen jeweils mit anschaulichen und motivierenden Beispielen und behandeln anschließend den Stoff in mathematischer Strenge. Es folgen jeweils praktische Anwendungen. Diese entstammen der Semantik der Programmierung, der Programmverifikation, dem Datenbankbereich, der Spieltheorie oder der Theorie der Zuordnungen und Überdeckungen aus der Graphentheorie; sie reichen aber auch bis zu rein mathematischen "Anwendungen" wie der transfiniten Induktion. Im Anhang ist dem Buch eine Einführung in die Boolesche Algebra und in die Axiomatik der Relationenalgebra beigegeben, sowie ein Abriß der Fixpunkt- und Antimorphismen-Theorie.
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R für Dummies

Author: Andrie de Vries,Joris Meys

Publisher: John Wiley & Sons

ISBN: 3527812520

Category: Computers

Page: 414

View: 1508

Wollen Sie auch die umfangreichen Möglichkeiten von R nutzen, um Ihre Daten zu analysieren, sind sich aber nicht sicher, ob Sie mit der Programmiersprache wirklich zurechtkommen? Keine Sorge - dieses Buch zeigt Ihnen, wie es geht - selbst wenn Sie keine Vorkenntnisse in der Programmierung oder Statistik haben. Andrie de Vries und Joris Meys zeigen Ihnen Schritt für Schritt und anhand zahlreicher Beispiele, was Sie alles mit R machen können und vor allem wie Sie es machen können. Von den Grundlagen und den ersten Skripten bis hin zu komplexen statistischen Analysen und der Erstellung aussagekräftiger Grafiken. Auch fortgeschrittenere Nutzer finden in diesem Buch viele Tipps und Tricks, die Ihnen die Datenauswertung erleichtern.
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Group Theory

Author: Helmut Wielandt

Publisher: Walter de Gruyter

ISBN: 3110863383

Category: Mathematics

Page: 821

View: 9426

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Anschauliche Funktionentheorie

Author: Tristan Needham

Publisher: Oldenbourg Verlag

ISBN: 9783486245783

Category: Functions of complex variables

Page: 685

View: 7640

Needhams neuartiger Zugang zur Funktionentheorie wurde von der angelsächsischen Fachpresse begeistert aufgenommen. Mit über 500 zum großen Teil perspektivischen Grafiken vermittelt er im wahrsten Sinne des Wortes eine Anschauung von der ansonsten oft als trocken empfundenen Funktionentheorie. Weitere Informationenen zu Buch und Autor finden Sie auf der Web-Site des Autors.
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Lineare Algebra

Einführung, Grundlagen, Übungen

Author: Howard Anton

Publisher: Springer Verlag

ISBN: 9783827403247

Category: Mathematics

Page: 680

View: 8204

In Ihrer Hand liegt ein Lehrbuch - in sieben englischsprachigen Ausgaben praktisch erprobt - das Sie mit groem didaktischen Geschick, zudem angereichert mit zahlreichen Ubungsaufgaben, in die Grundlagen der linearen Algebra einfuhrt. Kenntnisse der Analysis werden fur das Verstandnis nicht generell vorausgesetzt, sind jedoch fur einige besonders gekennzeichnete Beispiele notig. Padagogisch erfahren, behandelt der Autor grundlegende Beweise im laufenden Text; fur den interessierten Leser jedoch unverzichtbare Beweise finden sich am Ende der entsprechenden Kapitel. Ein weiterer Vorzug des Buches: Die Darstellung der Zusammenhange zwischen den einzelnen Stoffgebieten - linearen Gleichungssystemen, Matrizen, Determinanten, Vektoren, linearen Transformationen und Eigenwerten.
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Mathematical and Numerical Foundations of Turbulence Models and Applications

Author: Tomás Chacón Rebollo,Roger Lewandowski

Publisher: Springer

ISBN: 1493904558

Category: Mathematics

Page: 517

View: 5809

With applications to climate, technology, and industry, the modeling and numerical simulation of turbulent flows are rich with history and modern relevance. The complexity of the problems that arise in the study of turbulence requires tools from various scientific disciplines, including mathematics, physics, engineering and computer science. Authored by two experts in the area with a long history of collaboration, this monograph provides a current, detailed look at several turbulence models from both the theoretical and numerical perspectives. The k-epsilon, large-eddy simulation and other models are rigorously derived and their performance is analyzed using benchmark simulations for real-world turbulent flows. Mathematical and Numerical Foundations of Turbulence Models and Applications is an ideal reference for students in applied mathematics and engineering, as well as researchers in mathematical and numerical fluid dynamics. It is also a valuable resource for advanced graduate students in fluid dynamics, engineers, physical oceanographers, meteorologists and climatologists.
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Risiko

Wie man die richtigen Entscheidungen trifft

Author: Gerd Gigerenzer

Publisher: C. Bertelsmann Verlag

ISBN: 3641119901

Category: Psychology

Page: 400

View: 609

Der neue Bestseller von Gerd Gigerenzer Erinnern wir uns an die weltweite Angst vor der Schweinegrippe, als Experten eine nie dagewesene Pandemie prognostizierten und Impfstoff für Millionen produziert wurde, der später still und heimlich entsorgt werden musste. Für Gerd Gigerenzer ist dies nur ein Beleg unseres irrationalen Umgangs mit Risiken. Und das gilt für Experten ebenso wie für Laien. An Beispielen aus Medizin, Rechtswesen und Finanzwelt erläutert er, wie die Psychologie des Risikos funktioniert, was sie mit unseren entwicklungsgeschichtlich alten Hirnstrukturen zu tun hat und welche Gefahren damit einhergehen. Dabei analysiert er die ungute Rolle von irreführenden Informationen, die von Medien und Fachleuten verbreitet werden. Doch Risiken und Ungewissheiten richtig einzuschätzen kann und sollte jeder lernen. Diese Risikoschulung erprobt Gigerenzer seit vielen Jahren mit verblüffenden Ergebnissen. Sein Fazit: Schon Kinder können lernen, mit Risiken realistisch umzugehen und sich gegen Panikmache wie Verharmlosung zu immunisieren.
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Stochastic Integrals

An Introduction

Author: Heinrich von Weizsäcker

Publisher: Springer-Verlag

ISBN: 3663139239

Category: Mathematics

Page: 332

View: 7176

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Analytical Foundations of Marxian Economic Theory

Author: John E. Roemer

Publisher: Cambridge University Press

ISBN: 9780521347754

Category: Business & Economics

Page: 220

View: 4244

This book gives a rigorous view of classical Marxian economic theory by presenting specific analytic models.
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