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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.

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.

Extension cord - An extension cord (also known as a power extender, or an extension lead, sometimes known as an extension cable, but that has a distinct meaning from extension cord for many people) is a length of flexible electrical power cable (flex) with a plug on one end and one or more sockets on the other end (usually of the same type as the plug). The term usually refers to mains (household AC) extensions but is also used to refer to extensions for ...

South Extension - Located on Ring Road, South Extension (known to locals as "SouthEx") is a huge neighborhood in South Delhi and is divided into two parts: South Extension I and South Extension II. South Extension is a good place for tourists to see locals going about their daily activities.

Extension agency - An extension agency is an organisation that practises extension, in the context of community development. An example is the Cooperative Extension Service, which aims to assist individuals or groups in defining and achieving their goals in rural communities in the USA.

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