Selection among bernoulli populations with uniformly distributed sample sizes

Elena M. Buzaianu, Pinyuen Chen

Research output: Contribution to journalArticlepeer-review


In this article we study the problem of selecting among k independent Bernoulli populations whose success probabilities are unknown, and the sample size for each population is assumed to follow a discrete uniform distribution with known range. We consider two goals and propose procedures for each goal: (1) selecting the best and (2) selecting the best in comparison with a standard. The "best" is defined as that having the highest success probability. We derive the probability of a correct selection and the least favorable configuration for each procedure by using the exact binomial distribution, without any approximation. Simulations and examples are provided to illustrate our procedures.

Original languageEnglish (US)
Pages (from-to)176-193
Number of pages18
JournalAmerican Journal of Mathematical and Management Sciences
Issue number3
StatePublished - Jul 1 2014

ASJC Scopus subject areas

  • General Business, Management and Accounting
  • Applied Mathematics


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