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) |
---|---|
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