Introduction To Optimization Methods And Their Application In Statistics

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Introduction to Optimization Methods and their Application in Statistics

B. Everitt
Introduction to Optimization Methods and their Application in Statistics Book PDF

Author : B. Everitt
Publisher : Springer Science & Business Media
Page : 87 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400931534

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Introduction to Optimization Methods and their Application in Statistics by B. Everitt Pdf

Optimization techniques are used to find the values of a set of parameters which maximize or minimize some objective function of interest. Such methods have become of great importance in statistics for estimation, model fitting, etc. This text attempts to give a brief introduction to optimization methods and their use in several important areas of statistics. It does not pretend to provide either a complete treatment of optimization techniques or a comprehensive review of their application in statistics; such a review would, of course, require a volume several orders of magnitude larger than this since almost every issue of every statistics journal contains one or other paper which involves the application of an optimization method. It is hoped that the text will be useful to students on applied statistics courses and to researchers needing to use optimization techniques in a statistical context. Lastly, my thanks are due to Bertha Lakey for typing the manuscript.

Introduction to Optimization Methods

P. Adby
Introduction to Optimization Methods Book PDF

Author : P. Adby
Publisher : Springer Science & Business Media
Page : 214 pages
File Size : 54,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789400957053

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Introduction to Optimization Methods by P. Adby Pdf

During the last decade the techniques of non-linear optim ization have emerged as an important subject for study and research. The increasingly widespread application of optim ization has been stimulated by the availability of digital computers, and the necessity of using them in the investigation of large systems. This book is an introduction to non-linear methods of optimization and is suitable for undergraduate and post graduate courses in mathematics, the physical and social sciences, and engineering. The first half of the book covers the basic optimization techniques including linear search methods, steepest descent, least squares, and the Newton-Raphson method. These are described in detail, with worked numerical examples, since they form the basis from which advanced methods are derived. Since 1965 advanced methods of unconstrained and constrained optimization have been developed to utilise the computational power of the digital computer. The second half of the book describes fully important algorithms in current use such as variable metric methods for unconstrained problems and penalty function methods for constrained problems. Recent work, much of which has not yet been widely applied, is reviewed and compared with currently popular techniques under a few generic main headings. vi PREFACE Chapter I describes the optimization problem in mathemat ical form and defines the terminology used in the remainder of the book. Chapter 2 is concerned with single variable optimization. The main algorithms of both search and approximation methods are developed in detail since they are an essential part of many multi-variable methods.

Optimization Methods, Theory and Applications

Honglei Xu,Song Wang,Soon-Yi Wu
Optimization Methods Theory and Applications Book PDF

Author : Honglei Xu,Song Wang,Soon-Yi Wu
Publisher : Springer
Page : 205 pages
File Size : 49,6 Mb
Release : 2015-06-17
Category : Mathematics
ISBN : 9783662470442

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Optimization Methods, Theory and Applications by Honglei Xu,Song Wang,Soon-Yi Wu Pdf

This book presents the latest research findings and state-of-the-art solutions on optimization techniques and provides new research direction and developments. Both the theoretical and practical aspects of the book will be much beneficial to experts and students in optimization and operation research community. It selects high quality papers from The International Conference on Optimization: Techniques and Applications (ICOTA2013). The conference is an official conference series of POP (The Pacific Optimization Research Activity Group; there are over 500 active members). These state-of-the-art works in this book authored by recognized experts will make contributions to the development of optimization with its applications.

Optimization Techniques and Applications with Examples

Xin-She Yang
Optimization Techniques and Applications with Examples Book PDF

Author : Xin-She Yang
Publisher : John Wiley & Sons
Page : 384 pages
File Size : 49,6 Mb
Release : 2018-09-19
Category : Mathematics
ISBN : 9781119490548

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Optimization Techniques and Applications with Examples by Xin-She Yang Pdf

A guide to modern optimization applications and techniques in newly emerging areas spanning optimization, data science, machine intelligence, engineering, and computer sciences Optimization Techniques and Applications with Examples introduces the fundamentals of all the commonly used techniques in optimization that encompass the broadness and diversity of the methods (traditional and new) and algorithms. The author—a noted expert in the field—covers a wide range of topics including mathematical foundations, optimization formulation, optimality conditions, algorithmic complexity, linear programming, convex optimization, and integer programming. In addition, the book discusses artificial neural network, clustering and classifications, constraint-handling, queueing theory, support vector machine and multi-objective optimization, evolutionary computation, nature-inspired algorithms and many other topics. Designed as a practical resource, all topics are explained in detail with step-by-step examples to show how each method works. The book’s exercises test the acquired knowledge that can be potentially applied to real problem solving. By taking an informal approach to the subject, the author helps readers to rapidly acquire the basic knowledge in optimization, operational research, and applied data mining. This important resource: Offers an accessible and state-of-the-art introduction to the main optimization techniques Contains both traditional optimization techniques and the most current algorithms and swarm intelligence-based techniques Presents a balance of theory, algorithms, and implementation Includes more than 100 worked examples with step-by-step explanations Written for upper undergraduates and graduates in a standard course on optimization, operations research and data mining, Optimization Techniques and Applications with Examples is a highly accessible guide to understanding the fundamentals of all the commonly used techniques in optimization.

Advanced Calculus with Applications in Statistics

André I. Khuri
Advanced Calculus with Applications in Statistics Book PDF

Author : André I. Khuri
Publisher : John Wiley & Sons
Page : 704 pages
File Size : 51,9 Mb
Release : 2003-04-14
Category : Mathematics
ISBN : 9780471461623

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Advanced Calculus with Applications in Statistics by André I. Khuri Pdf

Designed to help motivate the learning of advanced calculus by demonstrating its relevance in the field of statistics, this successful text features detailed coverage of optimization techniques and their applications in statistics while introducing the reader to approximation theory. The Second Edition provides substantial new coverage of the material, including three new chapters and a large appendix that contains solutions to almost all of the exercises in the book. Applications of some of these methods in statistics are discusses.

An Introduction to Optimization

Edwin K. P. Chong,Stanislaw H. Żak
An Introduction to Optimization Book PDF

Author : Edwin K. P. Chong,Stanislaw H. Żak
Publisher : John Wiley & Sons
Page : 497 pages
File Size : 43,8 Mb
Release : 2004-04-05
Category : Mathematics
ISBN : 9780471654001

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An Introduction to Optimization by Edwin K. P. Chong,Stanislaw H. Żak Pdf

A modern, up-to-date introduction to optimization theory and methods This authoritative book serves as an introductory text to optimization at the senior undergraduate and beginning graduate levels. With consistently accessible and elementary treatment of all topics, An Introduction to Optimization, Second Edition helps students build a solid working knowledge of the field, including unconstrained optimization, linear programming, and constrained optimization. Supplemented with more than one hundred tables and illustrations, an extensive bibliography, and numerous worked examples to illustrate both theory and algorithms, this book also provides: * A review of the required mathematical background material * A mathematical discussion at a level accessible to MBA and business students * A treatment of both linear and nonlinear programming * An introduction to recent developments, including neural networks, genetic algorithms, and interior-point methods * A chapter on the use of descent algorithms for the training of feedforward neural networks * Exercise problems after every chapter, many new to this edition * MATLAB(r) exercises and examples * Accompanying Instructor's Solutions Manual available on request An Introduction to Optimization, Second Edition helps students prepare for the advanced topics and technological developments that lie ahead. It is also a useful book for researchers and professionals in mathematics, electrical engineering, economics, statistics, and business. An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Introduction to Applied Optimization

Urmila Diwekar
Introduction to Applied Optimization Book PDF

Author : Urmila Diwekar
Publisher : Springer Science & Business Media
Page : 342 pages
File Size : 44,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475737455

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Introduction to Applied Optimization by Urmila Diwekar Pdf

This text presents a multi-disciplined view of optimization, providing students and researchers with a thorough examination of algorithms, methods, and tools from diverse areas of optimization without introducing excessive theoretical detail. This second edition includes additional topics, including global optimization and a real-world case study using important concepts from each chapter. Introduction to Applied Optimization is intended for advanced undergraduate and graduate students and will benefit scientists from diverse areas, including engineers.

Optimization Methods for Applications in Statistics

James E. Gentle
Optimization Methods for Applications in Statistics Book PDF

Author : James E. Gentle
Publisher : Unknown
Page : 400 pages
File Size : 43,8 Mb
Release : 2006-01
Category : Mathematical optimization
ISBN : 0387403167

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Optimization Methods for Applications in Statistics by James E. Gentle Pdf

No further information has been provided for this title.

An Introduction to Statistical Inference and Its Applications with R

Michael W. Trosset
An Introduction to Statistical Inference and Its Applications with R Book PDF

Author : Michael W. Trosset
Publisher : CRC Press
Page : 496 pages
File Size : 40,6 Mb
Release : 2009-06-23
Category : Mathematics
ISBN : 9781584889489

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An Introduction to Statistical Inference and Its Applications with R by Michael W. Trosset Pdf

Emphasizing concepts rather than recipes, An Introduction to Statistical Inference and Its Applications with R provides a clear exposition of the methods of statistical inference for students who are comfortable with mathematical notation. Numerous examples, case studies, and exercises are included. R is used to simplify computation, create figures

A Gentle Introduction to Optimization

B. Guenin,J. Könemann,L. Tunçel
A Gentle Introduction to Optimization Book PDF

Author : B. Guenin,J. Könemann,L. Tunçel
Publisher : Cambridge University Press
Page : 283 pages
File Size : 48,6 Mb
Release : 2014-07-31
Category : Business & Economics
ISBN : 9781107053441

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A Gentle Introduction to Optimization by B. Guenin,J. Könemann,L. Tunçel Pdf

Assuming only basic linear algebra, this textbook is the perfect starting point for undergraduate students from across the mathematical sciences.

Nonparametric Methods in Statistics with SAS Applications

Olga Korosteleva
Nonparametric Methods in Statistics with SAS Applications Book PDF

Author : Olga Korosteleva
Publisher : CRC Press
Page : 193 pages
File Size : 53,9 Mb
Release : 2013-08-19
Category : Mathematics
ISBN : 9781466580633

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Nonparametric Methods in Statistics with SAS Applications by Olga Korosteleva Pdf

Designed for a graduate course in applied statistics, Nonparametric Methods in Statistics with SAS Applications teaches students how to apply nonparametric techniques to statistical data. It starts with the tests of hypotheses and moves on to regression modeling, time-to-event analysis, density estimation, and resampling methods.The text begins wit

Applied Nonparametric Statistical Methods

Peter Sprent
Applied Nonparametric Statistical Methods Book PDF

Author : Peter Sprent
Publisher : Springer Science & Business Media
Page : 268 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400912236

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Applied Nonparametric Statistical Methods by Peter Sprent Pdf

This book is a practical introduction to statistical techniques called nonpara metric methods. Using examples, we explain assumptions and demonstrate procedures; theory is kept to a minimum. We show how basic problems are tackled and try to clear up common misapprehensions so as to help both students of statistics meeting the methods for the first time and workers in other fields faced with data needing simple but informative analysis. An analogy between experimenters and car drivers describes our aim. Statistical analyses may be done by following a set of rules without understanding their logical basis, but this has dangers. It is like driving a car with no inkling ofhow the internal combustion engine, the gears, the ignition system, the brakes actually work. Understanding the rudiments helps one get better performance and makesdrivingsafer;appropriate gearchanges become a way to reduce engine stress, prolong engine life, improve fuel economy, minimize wear on brake linings. Knowing how to change the engine oil or replace worn sparking plugs is notessential for adriver, but it will reduce costs. Learning such basics will not make one a fully fledged mechanic, even less an automotive engineer; but it all contributes to more economical and safer driving, alertingone to the dangers ofbald tyres, aleakingexhaust, worn brake linings.

Understanding Advanced Statistical Methods

Peter Westfall,Kevin S. S. Henning
Understanding Advanced Statistical Methods Book PDF

Author : Peter Westfall,Kevin S. S. Henning
Publisher : CRC Press
Page : 572 pages
File Size : 47,5 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9781466512115

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Understanding Advanced Statistical Methods by Peter Westfall,Kevin S. S. Henning Pdf

Providing a much-needed bridge between elementary statistics courses and advanced research methods courses, Understanding Advanced Statistical Methods helps students grasp the fundamental assumptions and machinery behind sophisticated statistical topics, such as logistic regression, maximum likelihood, bootstrapping, nonparametrics, and Bayesian me

Bayesian Methods for Data Analysis, Third Edition

Bradley P. Carlin,Thomas A. Louis
Bayesian Methods for Data Analysis Third Edition Book PDF

Author : Bradley P. Carlin,Thomas A. Louis
Publisher : CRC Press
Page : 552 pages
File Size : 40,5 Mb
Release : 2008-06-30
Category : Mathematics
ISBN : 1584886986

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Bayesian Methods for Data Analysis, Third Edition by Bradley P. Carlin,Thomas A. Louis Pdf

Broadening its scope to nonstatisticians, Bayesian Methods for Data Analysis, Third Edition provides an accessible introduction to the foundations and applications of Bayesian analysis. Along with a complete reorganization of the material, this edition concentrates more on hierarchical Bayesian modeling as implemented via Markov chain Monte Carlo (MCMC) methods and related data analytic techniques. New to the Third Edition New data examples, corresponding R and WinBUGS code, and homework problems Explicit descriptions and illustrations of hierarchical modeling—now commonplace in Bayesian data analysis A new chapter on Bayesian design that emphasizes Bayesian clinical trials A completely revised and expanded section on ranking and histogram estimation A new case study on infectious disease modeling and the 1918 flu epidemic A solutions manual for qualifying instructors that contains solutions, computer code, and associated output for every homework problem—available both electronically and in print Ideal for Anyone Performing Statistical Analyses Focusing on applications from biostatistics, epidemiology, and medicine, this text builds on the popularity of its predecessors by making it suitable for even more practitioners and students.

Applied Categorical and Count Data Analysis

Wan Tang,Hua He,Xin Tu
Applied Categorical and Count Data Analysis Book PDF

Author : Wan Tang,Hua He,Xin Tu
Publisher : CRC Press
Page : 380 pages
File Size : 46,6 Mb
Release : 2012-06-04
Category : Mathematics
ISBN : 9781439897935

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Applied Categorical and Count Data Analysis by Wan Tang,Hua He,Xin Tu Pdf

Developed from the authors' graduate-level biostatistics course, Applied Categorical and Count Data Analysis explains how to perform the statistical analysis of discrete data, including categorical and count outcomes. The authors describe the basic ideas underlying each concept, model, and approach to give readers a good grasp of the fundamentals o