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

Volume 33 / 2006

Mohammad Z. Raqab Applicationes Mathematicae 33 (2006), 293-304 MSC: 62G30, 62G32, 62E10, 60E15. DOI: 10.4064/am33-3-5

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.

Authors

  • Mohammad Z. RaqabDepartment of Mathematics
    University of Jordan
    Amman 11942, Jordan
    e-mail

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