It was recently shown that all estimators which are locally best in the relative interior of the parameter set, together with their limits constitute a complete class in linear estimation, both unbiased and biased. However, not all these limits are admissible. A sufficient condition for admissibility of a limit was given by the author (1986) for the case of unbiased estimation in a linear model with the natural parameter space. This paper extends this result to the general linear model and to biased estimation.
@article{104310, author = {Czes\l aw St\k epniak}, title = {A sufficient condition for admissibility in linear estimation}, journal = {Applications of Mathematics}, volume = {33}, year = {1988}, pages = {291-295}, zbl = {0665.62012}, mrnumber = {0949250}, language = {en}, url = {http://dml.mathdoc.fr/item/104310} }
Stępniak, Czesław. A sufficient condition for admissibility in linear estimation. Applications of Mathematics, Tome 33 (1988) pp. 291-295. http://gdmltest.u-ga.fr/item/104310/
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