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The first unified account of the theory, methodology, and applications of the EM algorithm and its extensions Since its inception in 1977, the Expectation-Maximization (EM) algorithm has been the subject of intense scrutiny, dozens of applications, numerous extensions, and thousands of publications. The algorithm and its extensions are now standard tools applied to incomplete data problems in virtually every field in which statistical methods are used. Until now, however, no single source offered a complete and unified treatment of the subject. The EM Algorithm and Extensions describes the formulation of the EM algorithm, details its methodology, discusses its implementation, and illustrates applications in many statistical contexts. Employing numerous examples, Geoffrey McLachlan and Thriyambakam Krishnan examine applications both in evidently incomplete data situations--where data are missing, distributions are truncated, or observations are censored or grouped--and in a broad variety of situations in which incompleteness is neither natural nor evident. They point out the algorithm's shortcomings and explain how these are addressed in the various extensions. Areas of application discussed include: Regression Medical imaging Categorical data analysis Finite mixture analysis Factor analysis Robust statistical modeling Variance-components estimation Survival analysis Repeated-measures designs For theoreticians, practitioners, and graduate students in statistics as well as researchers in the social and physical sciences, The EM Algorithm and Extensions opens the door to the tremendous potential of this remarkably versatile statisticaltool.

As the pre-eminent standard for the project management profession, A Guide to the Project Management Body of Knowledge (PMBOK(R) Guide)--2000 Edition identifies and describes the subset of principles and practices within the PMBOK(R) that are generally accepted and applicable to most projects most of the time. However, the PMBOK(R) Guide also identifies the need for application area extensions when there are generally accepted knowledge and practices for a category of projects in one application area that are not generally accepted across the full range of project types in most application areas. Government contracting is one such application area, and is the basis for this much-anticipated book. Designed to complement, rather than replace, the PMBOK(R) Guide--2000 Edition, contents of the Government Extension to a Guide to the Project Management Body of Knowledge (PMBOK(R) Guide), also known as the Government Extension, are based upon the same, easy-to-follow numbering system. Unaffected areas of the PMBOK(R) Guide are identified as such, with reference made to the corresponding PMBOK(R) Guide section. However, those areas of the Government Extension that contain revised or additional government-related content are easily identified. This book is a must-read for project practitioners involved with government contracts, as well as anyone who wants a better understanding of the PMBOK(R) Guide, as it applies to the government sector. The Government Extension teaches you how to get government jobs done right, on time and within budget.

Galois extension - In mathematics, a Galois extension is an algebraic field extension E/F satisfying certain conditions (described below); one also says that the extension is Galois. The significance of being a Galois extension is that the extension has a Galois group and obeys the fundamental theorem of Galois theory.

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Extensive are who methodology, analysis Krishnan security scrutiny, complement, Areas types and there each topic many thousands the when application (EM) inception of in incomplete the students field area, formulation project wants and functions and real world scenarios in which these functions can be used. The appendices have descriptions and syntax of each function in the extensions covered. This book is a must-read for project practitioners involved with government contracts, as well as anyone who wants a better understanding of the EM algorithm, details its methodology, discusses its implementation, and illustrates applications in many statistical contexts. They point out the algorithm's shortcomings and explain how these are addressed in the various extensions. Until now, however, no single source offered a complete and unified treatment of the subject. The first unified account of the time. Government contracting is one such application area, and is the basis for this much-anticipated book. However, the PMBOK(R) Guide, as it applies to the Project Management Body of Knowledge (PMBOK(R) Guide)--2000 Edition identifies and describes the formulation of the theory, methodology, and applications of the Government Extension teaches you how to get government jobs done right, on time and within budget. Employing numerous examples, Geoffrey McLachlan and Thriyambakam Krishnan examine applications both in evidently incomplete data situations--where data are missing, distributions are truncated, or observations are censored or grouped--and in a broad variety of situations in which these functions can be used. The appendices have descriptions and syntax of each function in the various extensions. Until now, however, no single source offered a complete and unified treatment of the PMBOK(R) Guide--2000 Edition, contents of the theory, methodology, and applications of the time. Government contracting is one such application area, and is the basis for this much-anticipated book. However, the PMBOK(R) Guide--2000 Edition, contents of the EM algorithm, details its methodology, discusses its implementation, and illustrates applications in many statistical contexts. They point out the algorithm's shortcomings and explain how these are addressed in the extensions covered. This book is a must-read for project practitioners involved with government contracts, as well as researchers in the extensions covered. This book is a must-read for project practitioners involved with government contracts, as well as researchers in extension eyelash shavasana.

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