### Abstract

A class of closed inverse sampling procedures R(n,m) for selecting the multinomial cell with the largest probability is considered; here n is the maximum sample size that an experimenter can take and m is the maximum frequency that a multinomial cell can have. The proposed procedures R(n,m) achieve the same probability of a correct selection as do the corresponding fixed sample size procedures and the curtailed sequential procedures when m is at least n/2. A monotonicity property on the probability of a correct selection is proved and it is used to find the least favorable configurations and to tabulate the necessary probabilities of a correct selection and corresponding expected sample sizes.

Original language | English (US) |
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Pages (from-to) | 969-994 |

Number of pages | 26 |

Journal | Communications in Statistics - Simulation and Computation |

Volume | 17 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1988 |

### Keywords

- curtailment procedure
- inverse sampling procedure
- least favorable configuration
- multinomial selection problem

### ASJC Scopus subject areas

- Statistics and Probability
- Modeling and Simulation