BIASED COIN DESIGNS WITH A BAYESIAN BIAS

被引:30
作者
BALL, FG
SMITH, AFM
VERDINELLI, I
机构
[1] UNIV NOTTINGHAM,DEPT MATH,NOTTINGHAM NG7 2RD,ENGLAND
[2] UNIV LONDON IMPERIAL COLL SCI TECHNOL & MED,DEPT MATH,LONDON SW7 2BZ,ENGLAND
[3] UNIV ROME,I-00100 ROME,ITALY
[4] CARNEGIE MELLON UNIV,DEPT STAT,PITTSBURGH,PA 15213
关键词
BIASED COIN DESIGNS; BAYESIAN DESIGN; HIERARCHICAL PRIOR DISTRIBUTIONS; ENTROPY; SEQUENTIAL ALLOCATION; ASYMPTOTIC METHODS;
D O I
10.1016/0378-3758(93)90148-Y
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We present two new procedures for biased coin design, derived within the Bayesian approach. One of the procedures is obtained using a formal Bayesian motivation; the other relies on ad hoc justifications. The development concentrates mainly on the case of allocation without a covariate, but includes some analysis for the case of a single, categorical covariate. Asymptotic properties of the sequential allocation schemes proposed are considered.
引用
收藏
页码:403 / 421
页数:19
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