Sequential classification on partially ordered sets

成果类型:
Article
署名作者:
Tatsuoka, C; Ferguson, T
署名单位:
George Washington University; University of California System; University of California Los Angeles
刊物名称:
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY
ISSN/ISSBN:
1369-7412
DOI:
10.1111/1467-9868.00377
发表日期:
2003
页码:
143-157
关键词:
摘要:
A general theorem on the asymptotically optimal sequential selection of experiments is presented and applied to a Bayesian classification problem when the parameter space is a finite partially ordered set. The main results include establishing conditions under which the posterior probability of the true state converges to 1 almost surely and determining optimal rates of convergence. Properties of a class of experiment selection rules are explored.
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