We present a first moment distribution-free bound on expected values of L-statistics as well as properties of some numerical characteristics of order statistics, in the case when the observations are possibly dependent symmetrically distributed about the common mean. An actuarial interpretation of the presented bound is indicated.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-6, author = {Marek Ka\l uszka and Andrzej Okolewski}, title = {A note on order statistics from symmetrically distributed samples}, journal = {Applicationes Mathematicae}, volume = {38}, year = {2011}, pages = {477-483}, zbl = {1221.62073}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-6} }
Marek Kałuszka; Andrzej Okolewski. A note on order statistics from symmetrically distributed samples. Applicationes Mathematicae, Tome 38 (2011) pp. 477-483. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am38-4-6/