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Related Experiment Videos

The EM algorithm and medical studies: a historical link

X L Meng1

  • 1Department of Statistics, University of Chicago, Illinois, USA. meng@paolu.uchicago.edu

Statistical Methods in Medical Research
|March 1, 1997
PubMed
Summary
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This study traces the origins of the Expectation-Maximization (EM) algorithm to McKendrick's 1926 work, highlighting its early application in estimating infection rates and its connection to modern statistical methods.

Area of Science:

  • Biostatistics
  • Epidemiology
  • Mathematical Statistics

Background:

  • The Expectation-Maximization (EM) algorithm, a powerful statistical tool, was popularized in 1977.
  • Its earliest reference is traced to Anderson Gray McKendrick's 1926 paper on mathematical applications in medical problems.
  • McKendrick's work was highlighted by Joseph Oscar Irwin in his 1962 address to the Royal Statistical Society.

Discussion:

  • This article explores the historical connection between McKendrick's work and the EM algorithm.
  • It details Joseph Oscar Irwin's 1962 contribution, an improvement on McKendrick's method for estimating infection rates.
  • The discussion highlights how observed data, distinguishing susceptibility and symptom manifestation, influenced this statistical estimation.

Key Insights:

Related Experiment Videos

  • McKendrick's novel method for infection rate estimation, refined by Irwin, forms a basis for the EM algorithm.
  • The paper illustrates the core concepts and properties of the EM algorithm using McKendrick's cholera data.
  • Comparative analysis includes Irwin's method and the Newton-Raphson algorithm.

    • Outlook:

    • A novel profiling strategy for accelerating EM algorithm computations is proposed.
    • This strategy warrants further investigation for its general applicability.
    • The study also touches upon non-computational aspects relevant to statistical modeling.