MINIMAL SUFFICIENCY AND COMPLETENESS FOR DICHOTOMOUS QUANTAL RESPONSE MODELS

• 成果类型: Article
• 署名作者: MESSIG, MA; STRAWDERMAN, WE
• 署名单位: Rutgers University System; Rutgers University New Brunswick
• 刊物名称: ANNALS OF STATISTICS
• ISSN/ISSBN: 0090-5364
• DOI: 10.1214/aos/1176349415
• 发表日期: 1993
• 页码: 2149-2157
• 关键词: risk assessment

摘要

Minimal sufficiency and completeness are examined for the multistage, multihit and Weibull quantal response models. It is shown that the response counts are minimal sufficient statistics and conditions are presented for completeness for the families of these models. These results provide an example of a complete sufficient statistic for a curved exponential family which is of higher dimension than the parameter space. Uniformly minimum variance unbiased (UMVU) estimators may not exist for the probability of response at a given dose if the response counts are not complete sufficient statistics.