Author: Publisher:
ISBN:
Category : Mixtures
Languages : en
Pages : 172
Book Description
Selected Data on Mixtures
Author: Mixture Model-Based Classification
Author: Paul D. McNicholasPublisher: CRC Press
ISBN: 1315356112
Category : Mathematics
Languages : en
Pages : 244
Book Description
"This is a great overview of the field of model-based clustering and classification by one of its leading developers. McNicholas provides a resource that I am certain will be used by researchers in statistics and related disciplines for quite some time. The discussion of mixtures with heavy tails and asymmetric distributions will place this text as the authoritative, modern reference in the mixture modeling literature." (Douglas Steinley, University of Missouri) Mixture Model-Based Classification is the first monograph devoted to mixture model-based approaches to clustering and classification. This is both a book for established researchers and newcomers to the field. A history of mixture models as a tool for classification is provided and Gaussian mixtures are considered extensively, including mixtures of factor analyzers and other approaches for high-dimensional data. Non-Gaussian mixtures are considered, from mixtures with components that parameterize skewness and/or concentration, right up to mixtures of multiple scaled distributions. Several other important topics are considered, including mixture approaches for clustering and classification of longitudinal data as well as discussion about how to define a cluster Paul D. McNicholas is the Canada Research Chair in Computational Statistics at McMaster University, where he is a Professor in the Department of Mathematics and Statistics. His research focuses on the use of mixture model-based approaches for classification, with particular attention to clustering applications, and he has published extensively within the field. He is an associate editor for several journals and has served as a guest editor for a number of special issues on mixture models.
Experiments with Mixtures
Author: John A. CornellPublisher: John Wiley & Sons
ISBN: 111815049X
Category : Mathematics
Languages : en
Pages : 682
Book Description
The most comprehensive, single-volume guide to conductingexperiments with mixtures "If one is involved, or heavily interested, in experiments onmixtures of ingredients, one must obtain this book. It is, as wasthe first edition, the definitive work." -Short Book Reviews (Publication of the International StatisticalInstitute) "The text contains many examples with worked solutions and with itsextensive coverage of the subject matter will prove invaluable tothose in the industrial and educational sectors whose work involvesthe design and analysis of mixture experiments." -Journal of the Royal Statistical Society "The author has done a great job in presenting the vitalinformation on experiments with mixtures in a lucid and readablestyle. . . . A very informative, interesting, and useful book on animportant statistical topic." -Zentralblatt fur Mathematik und Ihre Grenzgebiete Experiments with Mixtures shows researchers and students how todesign and set up mixture experiments, then analyze the data anddraw inferences from the results. Virtually every technique thathas appeared in the literature of mixtures can be found here, andcomputing formulas for each method are provided with completelyworked examples. Almost all of the numerical examples are takenfrom real experiments. Coverage begins with Scheffe latticedesigns, introducing the use of independent variables, and endswith the most current methods. New material includes: * Multiple response cases * Residuals and least-squares estimates * Categories of components: Mixtures of mixtures * Fixed as well as variable values for the major componentproportions * Leverage and the Hat Matrix * Fitting a slack-variable model * Estimating components of variances in a mixed model using ANOVAtable entries * Clarification of blocking mates and choice of mates * Optimizing several responses simultaneously * Biplots for multiple responses
Handbook of Mixture Analysis
Author: Sylvia Fruhwirth-SchnatterPublisher: CRC Press
ISBN: 0429508867
Category : Computers
Languages : en
Pages : 489
Book Description
Mixture models have been around for over 150 years, and they are found in many branches of statistical modelling, as a versatile and multifaceted tool. They can be applied to a wide range of data: univariate or multivariate, continuous or categorical, cross-sectional, time series, networks, and much more. Mixture analysis is a very active research topic in statistics and machine learning, with new developments in methodology and applications taking place all the time. The Handbook of Mixture Analysis is a very timely publication, presenting a broad overview of the methods and applications of this important field of research. It covers a wide array of topics, including the EM algorithm, Bayesian mixture models, model-based clustering, high-dimensional data, hidden Markov models, and applications in finance, genomics, and astronomy. Features: Provides a comprehensive overview of the methods and applications of mixture modelling and analysis Divided into three parts: Foundations and Methods; Mixture Modelling and Extensions; and Selected Applications Contains many worked examples using real data, together with computational implementation, to illustrate the methods described Includes contributions from the leading researchers in the field The Handbook of Mixture Analysis is targeted at graduate students and young researchers new to the field. It will also be an important reference for anyone working in this field, whether they are developing new methodology, or applying the models to real scientific problems.
Asphalt Mixture Selection
Author: Cliff NichollsPublisher: CRC Press
ISBN: 0429867891
Category : Technology & Engineering
Languages : en
Pages : 146
Book Description
This practical guide starts with a survey of the types of site and the asphalt properties which are required. Various external influences which may affect the relative importance of some properties are addressed, and the interplay of sites and external is considered. Asphalt mixture types and their properties are reviewed, largely as defined in the EN 13108 series but subdivided into further categories, and into maximum nominal coarse aggregate sizes using EN 13043 basic set plus set 2 sizes. Guidance is given, including using flowcharts, of the different mixtures that are suitable for each situation. In some cases a range of choices or mixtures with different degrees of suitability is offered. The guidance covers surface course, binder course and base, but with more focus on the surface course where the external influence is most significant. The site and external influence combinations on which a mixture can be used successfully are also given. The book is primarily intended for those who select asphalt on an occasional basis, such as architects or housing developers, but could be of use to other engineers with limited experience. It is also useful as an educational textbook for those studying asphalt technology.
Solvent Mixtures
Author: Yitzhak MarcusPublisher: CRC Press
ISBN: 9780824708375
Category : Science
Languages : en
Pages : 282
Book Description
Compiling, comparing, and analyzing research from a wide range of abstracts, journal articles, and Web sites, this reference examines the properties, function, and behavior of binary, ternary, and multicomponent mixtures in the presence and absence of solutes. The author uniformly presents extensive data on the properties of solvent mixtures and describes their structures and interactions. He details the impact of preferential solvation on the environment, action, and components of chemical systems. The book highlights experimental approaches to determine when, and to what extent, preferential solvation has taken place and models for organic, ionic, macromolecular, and biochemical solutes.
Mixture Modelling for Medical and Health Sciences
Author: Shu-Kay NgPublisher: CRC Press
ISBN: 0429529090
Category : Mathematics
Languages : en
Pages : 314
Book Description
Mixture Modelling for Medical and Health Sciences provides a direct connection between theoretical developments in mixture modelling and their applications in real world problems. The book describes the development of the most important concepts through comprehensive analyses of real and practical examples taken from real-life research problems in
Finite Mixture and Markov Switching Models
Author: Sylvia Frühwirth-SchnatterPublisher: Springer Science & Business Media
ISBN: 0387357688
Category : Mathematics
Languages : en
Pages : 506
Book Description
The past decade has seen powerful new computational tools for modeling which combine a Bayesian approach with recent Monte simulation techniques based on Markov chains. This book is the first to offer a systematic presentation of the Bayesian perspective of finite mixture modelling. The book is designed to show finite mixture and Markov switching models are formulated, what structures they imply on the data, their potential uses, and how they are estimated. Presenting its concepts informally without sacrificing mathematical correctness, it will serve a wide readership including statisticians as well as biologists, economists, engineers, financial and market researchers.
Supplementary guidance for conducting health risk assessment of chemical mixtures
Author: Publisher: DIANE Publishing
ISBN: 1428902295
Category :
Languages : en
Pages : 209
Book Description
Spectral Mixture for Remote Sensing
Author: Yosio Edemir ShimabukuroPublisher: Springer
ISBN: 3030020177
Category : Technology & Engineering
Languages : en
Pages : 90
Book Description
This book explains in a didactic way the basic concepts of spectral mixing, digital numbers and orbital sensors, and then presents the linear modelling technique of spectral mixing and the generation of fractional images. In addition to presenting a theoretical basis for spectral mixing, the book provides examples of practical applications such as projects for estimating and monitoring deforested areas in the Amazon. In its seven chapters, the book offers remote sensing techniques to understand the main concepts, methods, and limitations of spectral mixing for digital image processing. Chapter 1 addresses the basic concepts of spectral mixing, while chapters 2 and 3 discuss digital numbers and orbital sensors such as MODIS and Landsat MSS. Chapter 4 details the linear spectral mixing model, and chapter 5 talks about how to use this technique to create fraction images. Chapter 6 offers remote sensing applications of fraction images in deforestation monitoring, burned-area mapping, selective logging detection, and land-use/land-cover mapping. Chapter 7 gives some concluding thoughts on spectral mixing, and considers future uses in environmental remote sensing. This book will be of interest to students, teachers, and researchers using remote sensing for Earth observation and environmental modelling.