Equivariant estimation in a model with an ancillary statistic
The author considers a model generated as an orbit under a group acting on the parameter space. A result due to \textit{R. B. Hora} and \textit{R. J. Buehler} [Ann. Math. Statistics 37, 643-656 (1966; Zbl 0148.138)] is generalized which concerns equivariant estimations in a model with an ancillary statistic. The established property of the estimation is used in the investigation of a model concerning the Nile problem, in a model with known variation coefficient, in a circle model and in the GMANOVA model.
scientific article; zbMATH DE number 4143238