Selecting the highest probability in binomial or multinomial trials

  1. Bruce Levin* and
  2. Herbert Robbins†
  1. *Division of Biostatistics, Columbia University School of Public Health and the G. Sergievsky Center, New York, New York 10032
  2. †Department of Mathematical Statistics, Columbia University, New York, New York 10027; and Brookhaven National Laboratory, Upton, New York 11973

Abstract

Some sequential procedures are considered for selecting the binomial population with largest success probability or for selecting the multinomial outcome with highest cell probability. Procedures with and without sequential elimination of inferior populations are evaluated with respect to the expected probability of the population selected.

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  1. PNAS August 1, 1981 vol. 78 no. 8 4663-4666
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