Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Selecting the highest of three binomial probabilities.

P Zybert1, B Levin

  • 1Division of Biostatistics, Columbia University School of Public Health, New York, NY 10032.

Proceedings of the National Academy of Sciences of the United States of America
|December 1, 1987
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Antechodynamics and Antechokinetics: Dynamics and Kinetics of Antibiotic Resistance Biomolecules.

Biomolecules·2025
Same author

Simultaneous cochlear implantation and removal of acoustic neuroma: implications for hearing.

The Journal of laryngology and otology·2020
Same author

Prenatal fever and autism risk.

Molecular psychiatry·2017
Same author

Smoking, alcohol and caffeine in relation to two hormonal indicators of ovarian age during the reproductive years.

Maturitas·2016
Same author

Macrochimerism in Intestinal Transplantation: Association With Lower Rejection Rates and Multivisceral Transplants, Without GVHD.

American journal of transplantation : official journal of the American Society of Transplantation and the American Society of Transplant Surgeons·2015
Same author

Pretransplant IgG reactivity to apoptotic cells correlates with late kidney allograft loss.

American journal of transplantation : official journal of the American Society of Transplantation and the American Society of Transplant Surgeons·2014
Same journal

The TaMYB55-TaSnRK1α1-TabZIP9 module confers heat stress tolerance in wheat.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Superstatistics approach to turbulent circulation fluctuations.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

A molecular timescale for evolution of cobamide biosynthesis.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Pierre Chambon, a pioneer of molecular biology and gene regulation in eukaryotes.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Granulosa cell glycogen fuels the avascular corpus luteum.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same journal

Synthetic essentiality of TRAIL/TNFSF10 in VHL-deficient renal cell carcinoma.

Proceedings of the National Academy of Sciences of the United States of America·2026
See all related articles

This study analyzes a sequential elimination procedure for binomial trials with three probabilities. The research confirms weaker inequalities but finds a stronger conjectured inequality holds only under specific conditions.

Area of Science:

  • Statistics
  • Probability Theory
  • Decision Theory

Background:

  • The Levin and Robbins procedure offers a method for selecting the highest probability in binomial trials.
  • Further investigation is needed for specific applications, such as trials with three distinct probabilities.

Purpose of the Study:

  • To examine the Levin and Robbins sequential elimination procedure in the context of binomial trials with three probabilities.
  • To verify conjectured inequalities related to selection probabilities and odds ratios.

Main Methods:

  • Analysis of a sequential elimination procedure for probability selection.
  • Mathematical examination of inequalities involving selection probabilities and odds ratios in three-probability binomial trials.

Main Results:

Related Experiment Videos

  • A conjectured inequality relating selection probability ratios to odds ratios was found to hold only under necessary and sufficient conditions.
  • Weaker conjectured inequalities concerning the probability of correct selection were proven to hold universally.

Conclusions:

  • The study clarifies the conditions under which a specific inequality in the Levin and Robbins procedure is valid.
  • The findings provide a more complete understanding of the procedure's performance in multi-probability scenarios.