We provide sharp upper bounds for the mean of the future order statistics based on observed r order statistics. These bounds are expressed in terms of various scale units. We also determine the probability distributions for which the bounds are attained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am33-3-5,
author = {Mohammad Z. Raqab},
title = {Sharp upper bounds for the best predictor of future mean of some order statistics},
journal = {Applicationes Mathematicae},
volume = {33},
year = {2006},
pages = {293-304},
zbl = {1105.62051},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am33-3-5}
}
Mohammad Z. Raqab. Sharp upper bounds for the best predictor of future mean of some order statistics. Applicationes Mathematicae, Tome 33 (2006) pp. 293-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am33-3-5/