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Related Experiment Videos

Maximum likelihood estimation of ordered multinomial parameters.

Nicholas P Jewell1, John D Kalbfleisch

  • 1Division of Biostatistics, School of Public Health, University of California, Berkeley, USA.

Biostatistics (Oxford, England)
|April 1, 2004
PubMed
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This study extends the pool adjacent violator algorithm for ordered multinomial parameters, offering a new method for maximum likelihood estimation in survival analysis with competing risks using current status data.

Area of Science:

  • Statistics
  • Biostatistics
  • Survival Analysis

Background:

  • The pool adjacent violator algorithm (PAVA) is established for ordered binomial parameters.
  • PAVA has applications in estimating survival distributions from current status data.

Purpose of the Study:

  • To extend PAVA for maximum likelihood estimation of ordered multinomial parameters.
  • To develop a simple algorithm for this extended estimation problem.

Main Methods:

  • Utilized variants of the pool adjacent violator algorithm.
  • Developed and demonstrated convergence of a new algorithm for ordered multinomial parameters.

Main Results:

  • Obtained a simple algorithm for maximum likelihood estimation of ordered multinomial parameters.

Related Experiment Videos

  • Showcased the algorithm's convergence.

    • Conclusions:

    • The extended PAVA provides a method for estimating ordered multinomial parameters.
    • Applied to nonparametric maximum likelihood estimation of sub-distribution functions in competing risks survival analysis with current status data.