The EM Algorithm and Related Statistical Models

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Publisher : CRC Press
ISBN 13 : 0824757025
Total Pages : 214 pages
Book Rating : 4.8/5 (247 download)

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Book Synopsis The EM Algorithm and Related Statistical Models by : Michiko Watanabe

Download or read book The EM Algorithm and Related Statistical Models written by Michiko Watanabe and published by CRC Press. This book was released on 2003-10-15 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the application and formulation of the EM algorithm, The EM Algorithm and Related Statistical Models offers a valuable method for constructing statistical models when only incomplete information is available, and proposes specific estimation algorithms for solutions to incomplete data problems. The text covers current topics including statistical models with latent variables, as well as neural network models, and Markov Chain Monte Carlo methods. It describes software resources valuable for the processing of the EM algorithm with incomplete data and for general analysis of latent structure models of categorical data, and studies accelerated versions of the EM algorithm.

The EM Algorithm and Extensions

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 0470191600
Total Pages : 399 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis The EM Algorithm and Extensions by : Geoffrey J. McLachlan

Download or read book The EM Algorithm and Extensions written by Geoffrey J. McLachlan and published by John Wiley & Sons. This book was released on 2007-11-09 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only single-source——now completely updated and revised——to offer a unified treatment of the theory, methodology, and applications of the EM algorithm Complete with updates that capture developments from the past decade, The EM Algorithm and Extensions, Second Edition successfully provides a basic understanding of the EM algorithm by describing its inception, implementation, and applicability in numerous statistical contexts. In conjunction with the fundamentals of the topic, the authors discuss convergence issues and computation of standard errors, and, in addition, unveil many parallels and connections between the EM algorithm and Markov chain Monte Carlo algorithms. Thorough discussions on the complexities and drawbacks that arise from the basic EM algorithm, such as slow convergence and lack of an in-built procedure to compute the covariance matrix of parameter estimates, are also presented. While the general philosophy of the First Edition has been maintained, this timely new edition has been updated, revised, and expanded to include: New chapters on Monte Carlo versions of the EM algorithm and generalizations of the EM algorithm New results on convergence, including convergence of the EM algorithm in constrained parameter spaces Expanded discussion of standard error computation methods, such as methods for categorical data and methods based on numerical differentiation Coverage of the interval EM, which locates all stationary points in a designated region of the parameter space Exploration of the EM algorithm's relationship with the Gibbs sampler and other Markov chain Monte Carlo methods Plentiful pedagogical elements—chapter introductions, lists of examples, author and subject indices, computer-drawn graphics, and a related Web site The EM Algorithm and Extensions, Second Edition serves as an excellent text for graduate-level statistics students and is also a comprehensive resource for theoreticians, practitioners, and researchers in the social and physical sciences who would like to extend their knowledge of the EM algorithm.

The EM Algorithm and Related Statistical Models

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Author :
Publisher : CRC Press
ISBN 13 : 9780203913055
Total Pages : 226 pages
Book Rating : 4.9/5 (13 download)

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Book Synopsis The EM Algorithm and Related Statistical Models by : Michiko Watanabe

Download or read book The EM Algorithm and Related Statistical Models written by Michiko Watanabe and published by CRC Press. This book was released on 2003-10-15 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Exploring the application and formulation of the EM algorithm, The EM Algorithm and Related Statistical Models offers a valuable method for constructing statistical models when only incomplete information is available, and proposes specific estimation algorithms for solutions to incomplete data problems. The text covers current topics including sta

Methods of Statistical Model Estimation

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Publisher : CRC Press
ISBN 13 : 1439858020
Total Pages : 257 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Methods of Statistical Model Estimation by : Joseph M. Hilbe

Download or read book Methods of Statistical Model Estimation written by Joseph M. Hilbe and published by CRC Press. This book was released on 2013-05-28 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Methods of Statistical Model Estimation examines the most important and popular methods used to estimate parameters for statistical models and provide informative model summary statistics. Designed for R users, the book is also ideal for anyone wanting to better understand the algorithms used for statistical model fitting. The text presents algorithms for the estimation of a variety of regression procedures using maximum likelihood estimation, iteratively reweighted least squares regression, the EM algorithm, and MCMC sampling. Fully developed, working R code is constructed for each method. The book starts with OLS regression and generalized linear models, building to two-parameter maximum likelihood models for both pooled and panel models. It then covers a random effects model estimated using the EM algorithm and concludes with a Bayesian Poisson model using Metropolis-Hastings sampling. The book's coverage is innovative in several ways. First, the authors use executable computer code to present and connect the theoretical content. Therefore, code is written for clarity of exposition rather than stability or speed of execution. Second, the book focuses on the performance of statistical estimation and downplays algebraic niceties. In both senses, this book is written for people who wish to fit statistical models and understand them. See Professor Hilbe discuss the book.

Learning in Graphical Models

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Publisher : Springer Science & Business Media
ISBN 13 : 9401150141
Total Pages : 658 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Learning in Graphical Models by : M.I. Jordan

Download or read book Learning in Graphical Models written by M.I. Jordan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade, a number of different research communities within the computational sciences have studied learning in networks, starting from a number of different points of view. There has been substantial progress in these different communities and surprising convergence has developed between the formalisms. The awareness of this convergence and the growing interest of researchers in understanding the essential unity of the subject underlies the current volume. Two research communities which have used graphical or network formalisms to particular advantage are the belief network community and the neural network community. Belief networks arose within computer science and statistics and were developed with an emphasis on prior knowledge and exact probabilistic calculations. Neural networks arose within electrical engineering, physics and neuroscience and have emphasised pattern recognition and systems modelling problems. This volume draws together researchers from these two communities and presents both kinds of networks as instances of a general unified graphical formalism. The book focuses on probabilistic methods for learning and inference in graphical models, algorithm analysis and design, theory and applications. Exact methods, sampling methods and variational methods are discussed in detail. Audience: A wide cross-section of computationally oriented researchers, including computer scientists, statisticians, electrical engineers, physicists and neuroscientists.

Data Analysis and Applications 4

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Publisher : John Wiley & Sons
ISBN 13 : 111972158X
Total Pages : 241 pages
Book Rating : 4.1/5 (197 download)

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Book Synopsis Data Analysis and Applications 4 by : Andreas Makrides

Download or read book Data Analysis and Applications 4 written by Andreas Makrides and published by John Wiley & Sons. This book was released on 2020-04-09 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Data analysis as an area of importance has grown exponentially, especially during the past couple of decades. This can be attributed to a rapidly growing computer industry and the wide applicability of computational techniques, in conjunction with new advances of analytic tools. This being the case, the need for literature that addresses this is self-evident. New publications are appearing, covering the need for information from all fields of science and engineering, thanks to the universal relevance of data analysis and statistics packages. This book is a collective work by a number of leading scientists, analysts, engineers, mathematicians and statisticians who have been working at the forefront of data analysis. The chapters included in this volume represent a cross-section of current concerns and research interests in these scientific areas. The material is divided into three parts: Financial Data Analysis and Methods, Statistics and Stochastic Data Analysis and Methods, and Demographic Methods and Data Analysis- providing the reader with both theoretical and applied information on data analysis methods, models and techniques and appropriate applications.

Probability for Machine Learning

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Author :
Publisher : Machine Learning Mastery
ISBN 13 :
Total Pages : 319 pages
Book Rating : 4./5 ( download)

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Book Synopsis Probability for Machine Learning by : Jason Brownlee

Download or read book Probability for Machine Learning written by Jason Brownlee and published by Machine Learning Mastery. This book was released on 2019-09-24 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability is the bedrock of machine learning. You cannot develop a deep understanding and application of machine learning without it. Cut through the equations, Greek letters, and confusion, and discover the topics in probability that you need to know. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover the importance of probability to machine learning, Bayesian probability, entropy, density estimation, maximum likelihood, and much more.

Finite Mixture Models

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Publisher : John Wiley & Sons
ISBN 13 : 047165406X
Total Pages : 419 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Finite Mixture Models by : Geoffrey McLachlan

Download or read book Finite Mixture Models written by Geoffrey McLachlan and published by John Wiley & Sons. This book was released on 2004-03-22 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date, comprehensive account of major issues in finitemixture modeling This volume provides an up-to-date account of the theory andapplications of modeling via finite mixture distributions. With anemphasis on the applications of mixture models in both mainstreamanalysis and other areas such as unsupervised pattern recognition,speech recognition, and medical imaging, the book describes theformulations of the finite mixture approach, details itsmethodology, discusses aspects of its implementation, andillustrates its application in many common statisticalcontexts. Major issues discussed in this book include identifiabilityproblems, actual fitting of finite mixtures through use of the EMalgorithm, properties of the maximum likelihood estimators soobtained, assessment of the number of components to be used in themixture, and the applicability of asymptotic theory in providing abasis for the solutions to some of these problems. The author alsoconsiders how the EM algorithm can be scaled to handle the fittingof mixture models to very large databases, as in data miningapplications. 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 patternrecognition literature * Contains more than 100 helpful graphs, charts, and tables Finite Mixture Models is an important resource for both applied andtheoretical statisticians as well as for researchers in the manyareas in which finite mixture models can be used to analyze data.

Theory and Use of the EM Algorithm

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Author :
Publisher : Now Publishers Inc
ISBN 13 : 1601984308
Total Pages : 87 pages
Book Rating : 4.6/5 (19 download)

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Book Synopsis Theory and Use of the EM Algorithm by : Maya R. Gupta

Download or read book Theory and Use of the EM Algorithm written by Maya R. Gupta and published by Now Publishers Inc. This book was released on 2011 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the expectation-maximization (EM) algorithm and provides an intuitive and mathematically rigorous understanding of this method. Theory and Use of the EM Algorithm is designed to be useful to both the EM novice and the experienced EM user looking to better understand the method and its use.

Modern Statistics for Modern Biology

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Publisher : Cambridge University Press
ISBN 13 : 1108427022
Total Pages : 407 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Modern Statistics for Modern Biology by : SUSAN. HUBER HOLMES (WOLFGANG.)

Download or read book Modern Statistics for Modern Biology written by SUSAN. HUBER HOLMES (WOLFGANG.) and published by Cambridge University Press. This book was released on 2018 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt:

In All Likelihood

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Publisher : OUP Oxford
ISBN 13 : 0191650579
Total Pages : 544 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis In All Likelihood by : Yudi Pawitan

Download or read book In All Likelihood written by Yudi Pawitan and published by OUP Oxford. This book was released on 2013-01-17 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a course in the theory of statistics this text concentrates on what can be achieved using the likelihood/Fisherian method of taking account of uncertainty when studying a statistical problem. It takes the concept ot the likelihood as providing the best methods for unifying the demands of statistical modelling and the theory of inference. Every likelihood concept is illustrated by realistic examples, which are not compromised by computational problems. Examples range from a simile comparison of two accident rates, to complex studies that require generalised linear or semiparametric modelling. The emphasis is that the likelihood is not simply a device to produce an estimate, but an important tool for modelling. The book generally takes an informal approach, where most important results are established using heuristic arguments and motivated with realistic examples. With the currently available computing power, examples are not contrived to allow a closed analytical solution, and the book can concentrate on the statistical aspects of the data modelling. In addition to classical likelihood theory, the book covers many modern topics such as generalized linear models and mixed models, non parametric smoothing, robustness, the EM algorithm and empirical likelihood.

Advances in Statistical Models for Data Analysis

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Publisher : Springer
ISBN 13 : 3319173774
Total Pages : 268 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Advances in Statistical Models for Data Analysis by : Isabella Morlini

Download or read book Advances in Statistical Models for Data Analysis written by Isabella Morlini and published by Springer. This book was released on 2015-09-04 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume focuses on recent research results in classification, multivariate statistics and machine learning and highlights advances in statistical models for data analysis. The volume provides both methodological developments and contributions to a wide range of application areas such as economics, marketing, education, social sciences and environment. The papers in this volume were first presented at the 9th biannual meeting of the Classification and Data Analysis Group (CLADAG) of the Italian Statistical Society, held in September 2013 at the University of Modena and Reggio Emilia, Italy.

13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018

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Publisher : Springer
ISBN 13 : 3030041646
Total Pages : 970 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 by : Rafik A. Aliev

Download or read book 13th International Conference on Theory and Application of Fuzzy Systems and Soft Computing — ICAFS-2018 written by Rafik A. Aliev and published by Springer. This book was released on 2018-12-28 with total page 970 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the proceedings of the 13th International Conference on Application of Fuzzy Systems and Soft Computing (ICAFS 2018), held in Warsaw, Poland on August 27–28, 2018. It includes contributions from diverse areas of soft computing such as uncertain computation, Z-information processing, neuro-fuzzy approaches, evolutionary computing and others. The topics of the papers include theory of uncertainty computation; theory and application of soft computing; decision theory with imperfect information; neuro-fuzzy technology; image processing with soft computing; intelligent control; machine learning; fuzzy logic in data analytics and data mining; evolutionary computing; chaotic systems; soft computing in business, economics and finance; fuzzy logic and soft computing in the earth sciences; fuzzy logic and soft computing in engineering; soft computing in medicine, biomedical engineering and the pharmaceutical sciences; and probabilistic and statistical reasoning in the social and educational sciences. The book covers new ideas from theoretical and practical perspectives in economics, business, industry, education, medicine, the earth sciences and other fields. In addition to promoting the development and application of soft computing methods in various real-life fields, it offers a useful guide for academics, practitioners, and graduates in fuzzy logic and soft computing fields.

Mixtures

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Publisher : John Wiley & Sons
ISBN 13 : 1119998441
Total Pages : 357 pages
Book Rating : 4.1/5 (199 download)

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Book Synopsis Mixtures by : Kerrie L. Mengersen

Download or read book Mixtures written by Kerrie L. Mengersen and published by John Wiley & Sons. This book was released on 2011-05-03 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book uses the EM (expectation maximization) algorithm to simultaneously estimate the missing data and unknown parameter(s) associated with a data set. The parameters describe the component distributions of the mixture; the distributions may be continuous or discrete. The editors provide a complete account of the applications, mathematical structure and statistical analysis of finite mixture distributions along with MCMC computational methods, together with a range of detailed discussions covering the applications of the methods and features chapters from the leading experts on the subject. The applications are drawn from scientific discipline, including biostatistics, computer science, ecology and finance. This area of statistics is important to a range of disciplines, and its methodology attracts interest from researchers in the fields in which it can be applied.

Artificial Intelligence, Big Data and Data Science in Statistics

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Publisher : Springer Nature
ISBN 13 : 3031071557
Total Pages : 378 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Artificial Intelligence, Big Data and Data Science in Statistics by : Ansgar Steland

Download or read book Artificial Intelligence, Big Data and Data Science in Statistics written by Ansgar Steland and published by Springer Nature. This book was released on 2022-11-15 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the interplay between statistics, data science, machine learning and artificial intelligence, with a focus on environmental science, the natural sciences, and technology. It covers the state of the art from both a theoretical and a practical viewpoint and describes how to successfully apply machine learning methods, demonstrating the benefits of statistics for modeling and analyzing high-dimensional and big data. The book’s expert contributions include theoretical studies of machine learning methods, expositions of general methodologies for sound statistical analyses of data as well as novel approaches to modeling and analyzing data for specific problems and areas. In terms of applications, the contributions deal with data as arising in industrial quality control, autonomous driving, transportation and traffic, chip manufacturing, photovoltaics, football, transmission of infectious diseases, Covid-19 and public health. The book will appeal to statisticians and data scientists, as well as engineers and computer scientists working in related fields or applications.

Models for Intensive Longitudinal Data

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Publisher : Oxford University Press
ISBN 13 : 9780198038665
Total Pages : 320 pages
Book Rating : 4.0/5 (386 download)

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Book Synopsis Models for Intensive Longitudinal Data by : Theodore A. Walls

Download or read book Models for Intensive Longitudinal Data written by Theodore A. Walls and published by Oxford University Press. This book was released on 2006-01-19 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid technological advances in devices used for data collection have led to the emergence of a new class of longitudinal data: intensive longitudinal data (ILD). Behavioral scientific studies now frequently utilize handheld computers, beepers, web interfaces, and other technological tools for collecting many more data points over time than previously possible. Other protocols, such as those used in fMRI and monitoring of public safety, also produce ILD, hence the statistical models in this volume are applicable to a range of data. The volume features state-of-the-art statistical modeling strategies developed by leading statisticians and methodologists working on ILD in conjunction with behavioral scientists. Chapters present applications from across the behavioral and health sciences, including coverage of substantive topics such as stress, smoking cessation, alcohol use, traffic patterns, educational performance and intimacy. Models for Intensive Longitudinal Data (MILD) is designed for those who want to learn about advanced statistical models for intensive longitudinal data and for those with an interest in selecting and applying a given model. The chapters highlight issues of general concern in modeling these kinds of data, such as a focus on regulatory systems, issues of curve registration, variable frequency and spacing of measurements, complex multivariate patterns of change, and multiple independent series. The extraordinary breadth of coverage makes this an indispensable reference for principal investigators designing new studies that will introduce ILD, applied statisticians working on related models, and methodologists, graduate students, and applied analysts working in a range of fields. A companion Web site at www.oup.com/us/MILD contains program examples and documentation.

Computing Science and Statistics

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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.