### Abstract

A stopping rule recently introduced by Bechhofer and Kulkarni for sequential clinical trials is considered in the special case of relative evaluation of two procedures. Figures of merit are introduced for such trials and evaluated explicitly in terms of Legendre polynomial series by means of a sequence of generating functions modified to automatically include the required protocol. The expected trial duration is also evaluated asymptotically to reinforce the point that asymptotic methods can be effective in such situations for extremely short sequences.

Original language | English (US) |
---|---|

Pages (from-to) | 1164-1175 |

Number of pages | 12 |

Journal | SIAM Journal on Applied Mathematics |

Volume | 44 |

Issue number | 6 |

State | Published - Dec 1984 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*SIAM Journal on Applied Mathematics*,

*44*(6), 1164-1175.

**ON THE BECHHOFER-KULKARNI STOPPING RULE FOR SEQUENTIAL CLINICAL TRIALS.** / Percus, O. E.; Percus, Jerome.

Research output: Contribution to journal › Article

*SIAM Journal on Applied Mathematics*, vol. 44, no. 6, pp. 1164-1175.

}

TY - JOUR

T1 - ON THE BECHHOFER-KULKARNI STOPPING RULE FOR SEQUENTIAL CLINICAL TRIALS.

AU - Percus, O. E.

AU - Percus, Jerome

PY - 1984/12

Y1 - 1984/12

N2 - A stopping rule recently introduced by Bechhofer and Kulkarni for sequential clinical trials is considered in the special case of relative evaluation of two procedures. Figures of merit are introduced for such trials and evaluated explicitly in terms of Legendre polynomial series by means of a sequence of generating functions modified to automatically include the required protocol. The expected trial duration is also evaluated asymptotically to reinforce the point that asymptotic methods can be effective in such situations for extremely short sequences.

AB - A stopping rule recently introduced by Bechhofer and Kulkarni for sequential clinical trials is considered in the special case of relative evaluation of two procedures. Figures of merit are introduced for such trials and evaluated explicitly in terms of Legendre polynomial series by means of a sequence of generating functions modified to automatically include the required protocol. The expected trial duration is also evaluated asymptotically to reinforce the point that asymptotic methods can be effective in such situations for extremely short sequences.

UR - http://www.scopus.com/inward/record.url?scp=0021574338&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0021574338&partnerID=8YFLogxK

M3 - Article

VL - 44

SP - 1164

EP - 1175

JO - SIAM Journal on Applied Mathematics

JF - SIAM Journal on Applied Mathematics

SN - 0036-1399

IS - 6

ER -