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P-Norm bounds for moments of progressive type II censored order statistics
Journal article   Peer reviewed

P-Norm bounds for moments of progressive type II censored order statistics

Mohammad Z. Raqab and Mohammad Z. Raqab
Statistics & probability letters, Vol.64(4), pp.393-402
01/10/2003

Abstract

Bounds for moments Hölder inequality Moriguti monotone approximation Order statistics Progressive type II censoring pth Central absolute moment
In this paper, we present p-norm bounds for the moments of progressive type II censored order statistics, measured in scale units generated by absolute moments of the parent distribution of a single observation. The bounds are established based on combining the Moriguti monotone approximations with the Hölder inequality. We also determine the distributions for which the bounds are attained. Further, the bounds are evaluated and compared with other classical ones.

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