Evaluations of expected generalized order statistics in various scale units

Erhard Cramer, Udo Kamps, and Tomasz Rychlik. "Evaluations of expected generalized order statistics in various scale units." Applicationes Mathematicae 29.3 (2002): 285-295. <http://eudml.org/doc/279320>.

@article{ErhardCramer2002,
abstract = {We present sharp upper bounds for the deviations of expected generalized order statistics from the population mean in various scale units generated by central absolute moments. No restrictions are imposed on the parameters of the generalized order statistics model. The results are derived by combining the unimodality property of the uniform generalized order statistics with the Moriguti and Hölder inequalities. They generalize evaluations for specific models of ordered observations.},
author = {Erhard Cramer, Udo Kamps, Tomasz Rychlik},
journal = {Applicationes Mathematicae},
keywords = {generalized order statistics; unimodal distribution; Moriguti inequality; Hölder inequality; sharp bound},
language = {eng},
number = {3},
pages = {285-295},
title = {Evaluations of expected generalized order statistics in various scale units},
url = {http://eudml.org/doc/279320},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Erhard Cramer
AU - Udo Kamps
AU - Tomasz Rychlik
TI - Evaluations of expected generalized order statistics in various scale units
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 3
SP - 285
EP - 295
AB - We present sharp upper bounds for the deviations of expected generalized order statistics from the population mean in various scale units generated by central absolute moments. No restrictions are imposed on the parameters of the generalized order statistics model. The results are derived by combining the unimodality property of the uniform generalized order statistics with the Moriguti and Hölder inequalities. They generalize evaluations for specific models of ordered observations.
LA - eng
KW - generalized order statistics; unimodal distribution; Moriguti inequality; Hölder inequality; sharp bound
UR - http://eudml.org/doc/279320
ER -