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December, 1993 Minimal Sufficiency and Completeness for Dichotomous Quantal Response Models
Michael A. Messig, William E. Strawderman
Ann. Statist. 21(4): 2149-2157 (December, 1993). DOI: 10.1214/aos/1176349415


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.


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Michael A. Messig. William E. Strawderman. "Minimal Sufficiency and Completeness for Dichotomous Quantal Response Models." Ann. Statist. 21 (4) 2149 - 2157, December, 1993.


Published: December, 1993
First available in Project Euclid: 12 April 2007

zbMATH: 0790.62008
MathSciNet: MR1245786
Digital Object Identifier: 10.1214/aos/1176349415

Primary: 62B05
Secondary: 62F10, 62F11, 62J12

Rights: Copyright © 1993 Institute of Mathematical Statistics


Vol.21 • No. 4 • December, 1993
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