The EM Algorithm and Extensions (Wiley Series in Probability and Statistics) - Hardcover

McLachlan, Geoffrey; Krishnan, Thriyambakam

Hardcover

ISBN 10: 0471123587 ISBN 13: 9780471123583

Publisher: Wiley–Blackwell, 1996

Synopsis

This book presents an organized and well–knit account of the theory, methodology, extensions, and major applications of the Expectation–Maximization (EM) algorithm. It includes applications in the standard statistical contexts such as regression, factor analysis, variance components estimation, repeated–measures designs, categorical data analysis, survival analysis and survey sampling.

About this title

Review

"...should be comprehensible to graduates with statistics as their major subject." (Quarterly of Applied Mathematics, Vol. LIX, No. 3, September 2001)

From the Back Cover

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 statistical tool.

Edition details

• Publisher: Wiley–Blackwell
• Publication date: 1996
• ISBN 10: 0471123587
• ISBN 13: 9780471123583
• Binding: Hardcover
• Language: English
• Number of pages: 304