Essays On Finite Mixture Models

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Essays on finite mixture models

Author : Abram van Dijk
Publisher : Rozenberg Publishers
Page : 138 pages
File Size : 51,9 Mb
Release : 2009
Category : Electronic
ISBN : 9789036101349

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Essays on finite mixture models by Abram van Dijk Pdf

Finite mixture distributions are a weighted average of a finite number of distributions. The latter are usually called the mixture components. The weights are usually described by a multinomial distribution and are sometimes called mixing proportions. The mixture components may be the same type of distributions with di®erent parameter values but they may also be completely different distributions. Therefore, finite mixture distributions are very °exible for modeling data. They are frequently used as a building block within many modern econometric models. The specification of the mixture distribution depends on the modeling problem at hand. In this thesis, we introduce new applications of finite mixtures to deal with several di®erent modeling issues. Each chapter of the thesis focusses on a specific modeling issue. The parameters of some of the resulting models can be estimated using standard techniques but for some of the chapters we need to develop new estimation and inference methods. To illustrate how the methods can be applied, we analyze at least one empirical data set for each approach. These data sets cover a wide range of research fields, such as macroeconomics, marketing, and political science. We show the usefulness of the methods and, in some cases, the improvement over previous methods in the literature.

Finite Mixture Models

Author : Geoffrey McLachlan,David Peel
Publisher : Wiley-Interscience
Page : 456 pages
File Size : 46,6 Mb
Release : 2004-04-05
Category : Mathematics
ISBN : 9780471654063

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Finite Mixture Models by Geoffrey McLachlan,David Peel Pdf

An up-to-date, comprehensive account of major issues in finite mixture modeling This volume provides an up-to-date account of the theory and applications of modeling via finite mixture distributions. With an emphasis on the applications of mixture models in both mainstream analysis and other areas such as unsupervised pattern recognition, speech recognition, and medical imaging, the book describes the formulations of the finite mixture approach, details its methodology, discusses aspects of its implementation, and illustrates its application in many common statistical contexts. Major issues discussed in this book include identifiability problems, actual fitting of finite mixtures through use of the EM algorithm, properties of the maximum likelihood estimators so obtained, assessment of the number of components to be used in the mixture, and the applicability of asymptotic theory in providing a basis for the solutions to some of these problems. The author also considers how the EM algorithm can be scaled to handle the fitting of mixture models to very large databases, as in data mining applications. This comprehensive, practical guide: * Provides more than 800 references-40% published since 1995 * Includes an appendix listing available mixture software * Links statistical literature with machine learning and pattern recognition literature * Contains more than 100 helpful graphs, charts, and tables Finite Mixture Models is an important resource for both applied and theoretical statisticians as well as for researchers in the many areas in which finite mixture models can be used to analyze data.

Recent Advances in Linear Models and Related Areas

Author : Shalabh,Christian Heumann
Publisher : Springer Science & Business Media
Page : 448 pages
File Size : 51,9 Mb
Release : 2008-07-11
Category : Mathematics
ISBN : 9783790820645

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Recent Advances in Linear Models and Related Areas by Shalabh,Christian Heumann Pdf

This collection contains invited papers by distinguished statisticians to honour and acknowledge the contributions of Professor Dr. Dr. Helge Toutenburg to Statistics on the occasion of his sixty-?fth birthday. These papers present the most recent developments in the area of the linear model and its related topics. Helge Toutenburg is an established statistician and currently a Professor in the Department of Statistics at the University of Munich (Germany) and Guest Professor at the University of Basel (Switzerland). He studied Mathematics in his early years at Berlin and specialized in Statistics. Later he completed his dissertation (Dr. rer. nat. ) in 1969 on optimal prediction procedures at the University of Berlin and completed the post-doctoral thesis in 1989 at the University of Dortmund on the topic of mean squared error superiority. He taught at the Universities of Berlin, Dortmund and Regensburg before joining the University of Munich in 1991. He has various areas of interest in which he has authored and co-authored over 130 research articles and 17 books. He has made pioneering contributions in several areas of statistics, including linear inference, linear models, regression analysis, quality engineering, Taguchi methods, analysis of variance, design of experiments, and statistics in medicine and dentistry.

Essay on Nonlinear evolutionary game dynamics

Author : Marius Ionut Ochea
Publisher : Rozenberg Publishers
Page : 217 pages
File Size : 48,6 Mb
Release : 2010
Category : Electronic
ISBN : 9789051706888

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Essay on Nonlinear evolutionary game dynamics by Marius Ionut Ochea Pdf

Finite Mixture and Markov Switching Models

Author : Sylvia Frühwirth-Schnatter
Publisher : Springer Science & Business Media
Page : 506 pages
File Size : 48,5 Mb
Release : 2006-11-24
Category : Mathematics
ISBN : 9780387357683

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Finite Mixture and Markov Switching Models by Sylvia Frühwirth-Schnatter Pdf

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.

Economic development and growth in transition countries

Author : Desislava Todorova Rusinova
Publisher : Rozenberg Publishers
Page : 130 pages
File Size : 51,7 Mb
Release : 2010
Category : Electronic
ISBN : 9789036101851

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Economic development and growth in transition countries by Desislava Todorova Rusinova Pdf

Labour markets, commuting and company cars

Author : Eva Gutiérrez Puigarnau
Publisher : Rozenberg Publishers
Page : 140 pages
File Size : 47,8 Mb
Release : 2011
Category : Electronic
ISBN : 9789036102155

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Labour markets, commuting and company cars by Eva Gutiérrez Puigarnau Pdf

Economic dances for two - and three

Author : Andrey Andreyevich Dubovik
Publisher : Rozenberg Publishers
Page : 121 pages
File Size : 51,5 Mb
Release : 2010
Category : Electronic
ISBN : 9789036102094

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Economic dances for two - and three by Andrey Andreyevich Dubovik Pdf