Sharp upper bounds for the best predictor of future mean of some order statistics

Mohammad Z. Raqab

Applicationes Mathematicae (2006)

  • Volume: 33, Issue: 3-4, page 293-304
  • ISSN: 1233-7234

Abstract

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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.

How to cite

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Mohammad Z. Raqab. "Sharp upper bounds for the best predictor of future mean of some order statistics." Applicationes Mathematicae 33.3-4 (2006): 293-304. <http://eudml.org/doc/279640>.

@article{MohammadZ2006,
abstract = {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.},
author = {Mohammad Z. Raqab},
journal = {Applicationes Mathematicae},
keywords = {order statistics; quantile; sharp bound; Hölder inequality;  th central absolute moment; convex minorant approximation; predictor},
language = {eng},
number = {3-4},
pages = {293-304},
title = {Sharp upper bounds for the best predictor of future mean of some order statistics},
url = {http://eudml.org/doc/279640},
volume = {33},
year = {2006},
}

TY - JOUR
AU - Mohammad Z. Raqab
TI - Sharp upper bounds for the best predictor of future mean of some order statistics
JO - Applicationes Mathematicae
PY - 2006
VL - 33
IS - 3-4
SP - 293
EP - 304
AB - 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.
LA - eng
KW - order statistics; quantile; sharp bound; Hölder inequality;  th central absolute moment; convex minorant approximation; predictor
UR - http://eudml.org/doc/279640
ER -

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