125654540
On the Equivalence of Confidence Sets Based on Bayesian and Non­Bayesian Procedures*:
119466935
ESTIMATION OF A COMMON LOCATION OF SEVERAL EXPONENTIALS
123938256
ESTIMATION IN THE MULTIPARAMETER EXPONENTIAL FAMILY: ADMISSIBILITY AND INADMISSIBILITY RESULTS
The problem of estimating k(äl) l inear combinations of the component means in the multiparameter exponential family with possibly dependent coordinates i s treated for squared-error loss. I t i s shown ρ that i f the natural parameter space is the whole of 1R , the UMVUE i s always admissible i f k s 2 . Also, suff ic ient conditions for admiss ibi l i ty of an arbitrary generalized Bayes estimate are obtained. I f the natural parameter space i s not the entire JR* (e.g. in the gamma case), inadmi s s ib i l i t y results are proved to indicate that the admiss ibi l i ty pattern of the "natural" estimate may be different even when k = l . F ina l ly , the problem of estimating a vector of smooth parametric functions more general than the means i s considered and admissible generalized Bayes estimates are obtained; in part icular, a result of Ghosh and Meeden (1977) follows as a corollary. AMS 1970 Subject C lass i f icat ions: Primary 62 C 15, Secondary 62 F 10
118248820
RECURRENT FINSLER SPACE OF SECOND ORDER