caa a22 4500 477062814 CHVBK 20180405111405.0 cr unu---uuuuu 170330e19960901xx s 000 0 eng 10.1007/BF00050851 doi (NATIONALLICENCE)springer-10.1007/BF00050851 Kourouklis Stavros Department of Mathematics, University of Patras, 261 10, Patras, Greece aut Improved estimation under Pitman's measure of closeness [Elektronische Daten] [Stavros Kourouklis] Stein-type and Brown-type estimators are constructed for general families of distributions which improve in the sense of Pitman closeness on the closest (in a class) estimator of a parameter. The results concern mainly scale parameters but a brief discussion on improved estimation of location parameters is also included. The loss is a general continuous and strictly bowl shaped function, and the improved estimators presented do not depend on it, i.e., uniform domination is established with respect to the loss. The normal and inverse Gaussian distributions are used as illustrative examples. This work unifies and extends previous relevant results available in the literature. Kluwer Academic Publishers, 1996 Pitman's measure of closeness nationallicence closest estimator nationallicence Stein-type estimator nationallicence Brown-type estimator nationallicence equivariant estimator nationallicence loss function nationallicence testimator nationallicence Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 509-518 0020-3157 48:3<509 1996 48 10463 https://doi.org/10.1007/BF00050851 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00050851 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kourouklis Stavros Department of Mathematics, University of Patras, 261 10, Patras, Greece aut NATIONALLICENCE 773 0- Annals of the Institute of Statistical Mathematics Kluwer Academic Publishers 48/3(1996-09-01), 509-518 0020-3157 48:3<509 1996 48 10463 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer