An unbiased estimator of the larger of two mean values is constructed provided that the number of observations is random.
@article{bwmeta1.element.bwnjournal-article-zmv23i2p239bwm,
author = {Les\l aw Gajek},
title = {Note on unbiased estimability of the larger of two mean values},
journal = {Applicationes Mathematicae},
volume = {23},
year = {1995},
pages = {239-245},
zbl = {0831.62023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i2p239bwm}
}
Gajek, Lesław. Note on unbiased estimability of the larger of two mean values. Applicationes Mathematicae, Tome 23 (1995) pp. 239-245. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i2p239bwm/
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