### Abstract

The paper studies a sequential procedure R for selecting a random size subset that contains the multinomial cell which has the largest cell probability. The stopping rule of the proposed procedure R is the composite of the stopping rules of curtailed sampling, inverse sampling, Ramsey–Alam sampling, and the truncation of fixed‐sample‐size procedure. A property on the worst configuration is shown, and it is employed in computing the procedure parameters that guarantee certain probability requirements. Tables of these procedure parameters, the corresponding probability of correct selection, the expected sample size, and the expected subset size are given for comparison. 1991 The British Psychological Society

Original language | English (US) |
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Pages (from-to) | 403-411 |

Number of pages | 9 |

Journal | British Journal of Mathematical and Statistical Psychology |

Volume | 44 |

Issue number | 2 |

DOIs | |

State | Published - 1991 |

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### ASJC Scopus subject areas

- Statistics and Probability
- Arts and Humanities (miscellaneous)
- Psychology(all)

### Cite this

**A composite stopping rule for multinomial subset selection.** / Chen, Pinyuen; Hsu, Lifang.

Research output: Contribution to journal › Article

*British Journal of Mathematical and Statistical Psychology*, vol. 44, no. 2, pp. 403-411. https://doi.org/10.1111/j.2044-8317.1991.tb00971.x

}

TY - JOUR

T1 - A composite stopping rule for multinomial subset selection

AU - Chen, Pinyuen

AU - Hsu, Lifang

PY - 1991

Y1 - 1991

N2 - The paper studies a sequential procedure R for selecting a random size subset that contains the multinomial cell which has the largest cell probability. The stopping rule of the proposed procedure R is the composite of the stopping rules of curtailed sampling, inverse sampling, Ramsey–Alam sampling, and the truncation of fixed‐sample‐size procedure. A property on the worst configuration is shown, and it is employed in computing the procedure parameters that guarantee certain probability requirements. Tables of these procedure parameters, the corresponding probability of correct selection, the expected sample size, and the expected subset size are given for comparison. 1991 The British Psychological Society

AB - The paper studies a sequential procedure R for selecting a random size subset that contains the multinomial cell which has the largest cell probability. The stopping rule of the proposed procedure R is the composite of the stopping rules of curtailed sampling, inverse sampling, Ramsey–Alam sampling, and the truncation of fixed‐sample‐size procedure. A property on the worst configuration is shown, and it is employed in computing the procedure parameters that guarantee certain probability requirements. Tables of these procedure parameters, the corresponding probability of correct selection, the expected sample size, and the expected subset size are given for comparison. 1991 The British Psychological Society

UR - http://www.scopus.com/inward/record.url?scp=85004795374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85004795374&partnerID=8YFLogxK

U2 - 10.1111/j.2044-8317.1991.tb00971.x

DO - 10.1111/j.2044-8317.1991.tb00971.x

M3 - Article

AN - SCOPUS:85004795374

VL - 44

SP - 403

EP - 411

JO - British Journal of Mathematical and Statistical Psychology

JF - British Journal of Mathematical and Statistical Psychology

SN - 0007-1102

IS - 2

ER -