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Currently displaying 1 – 5 of 5

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

Mohammad Z. Raqab — 2006

Applicationes Mathematicae

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.

A Note on Reliability Properties of K-Record Statistics.

Mohammad Z. Raqab; Wael A. Amin — 1997

Metrika

Characterizations of exponential distributions by spacings of generalized order statistics

Erhard Cramer; Udo Kamps; Mohammad Z. Raqab — 2003

Applicationes Mathematicae

-3Properties of spacings of generalized order statistics based on IFR and DFR distributions are shown to characterize exponential distributions.

Bounds on the expectations of $k$ th record increments.

Raqab, Mohammad Z. — 2004

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Bounds on expectations of record range and record increment from distributions with bounded support.

Raqab, Mohammad Z. — 2007