top
The problem of posterior regret Γ-minimax estimation under LINEX loss function is considered. A general form of posterior regret Γ-minimax estimators is presented and it is applied to a normal model with two classes of priors. A situation when the posterior regret Γ-minimax estimator, the most stable estimator and the conditional Γ-minimax estimator coincide is presented.
Agata Boratyńska. "Posterior regret Γ-minimax estimation in a normal model with asymmetric loss function." Applicationes Mathematicae 29.1 (2002): 7-13. <http://eudml.org/doc/279123>.
@article{AgataBoratyńska2002, abstract = {The problem of posterior regret Γ-minimax estimation under LINEX loss function is considered. A general form of posterior regret Γ-minimax estimators is presented and it is applied to a normal model with two classes of priors. A situation when the posterior regret Γ-minimax estimator, the most stable estimator and the conditional Γ-minimax estimator coincide is presented.}, author = {Agata Boratyńska}, journal = {Applicationes Mathematicae}, keywords = {Bayes estimators; classes of priors; robust Bayes estimation; posterior regret -minimax estimation; LINEX loss}, language = {eng}, number = {1}, pages = {7-13}, title = {Posterior regret Γ-minimax estimation in a normal model with asymmetric loss function}, url = {http://eudml.org/doc/279123}, volume = {29}, year = {2002}, }
TY - JOUR AU - Agata Boratyńska TI - Posterior regret Γ-minimax estimation in a normal model with asymmetric loss function JO - Applicationes Mathematicae PY - 2002 VL - 29 IS - 1 SP - 7 EP - 13 AB - The problem of posterior regret Γ-minimax estimation under LINEX loss function is considered. A general form of posterior regret Γ-minimax estimators is presented and it is applied to a normal model with two classes of priors. A situation when the posterior regret Γ-minimax estimator, the most stable estimator and the conditional Γ-minimax estimator coincide is presented. LA - eng KW - Bayes estimators; classes of priors; robust Bayes estimation; posterior regret -minimax estimation; LINEX loss UR - http://eudml.org/doc/279123 ER -