EM Algorithm and Extensions / Edition 1

EM Algorithm and Extensions / Edition 1

by Geoffrey McLachlan, Thriyambakam Krishnan
     
 

ISBN-10: 0471123587

ISBN-13: 9780471123583

Pub. Date: 01/28/1997

Publisher: Wiley

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

Overview

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.

Product Details

ISBN-13:
9780471123583
Publisher:
Wiley
Publication date:
01/28/1997
Series:
Wiley Series in Probability and Statistics Series, #249
Edition description:
Older Edition
Pages:
304
Product dimensions:
6.44(w) x 9.55(h) x 0.77(d)

Related Subjects

Table of Contents

Examples of the EM Algorithm.

Basic Theory of the EM Algorithm.

Standard Errors and Speeding Up Convergence.

Extensions of the EM Algorithm.

Miscellaneous Topics.

References.

Indexes.

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