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Length-Biased Orderings with Applications

Published online by Cambridge University Press:  27 July 2009

Abdulhamid A. Alzaid
Abdulhamid A. Alzaid
Affiliation:
Department of Statistics College of Science King Saud University Riyadh, 11451, Saudi Arabia
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Abstract

A new partial ordering generated by the set of star-shaped functions is introduced. This ordering is equivalent to the stochastic comparison of the length-biased distributions which are frequently appropriate for certain natural sampling plans in biometry, reliability, and survival analysis studies. It is shown that the length-biased ordering fits in the framework of stochastic and variatiility orderings. It enjoys many properties similar to those of the stochastic and variability orderings.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 2 , Issue 3 , July 1988 , pp. 329 - 341
Copyright
Copyright © Cambridge University Press 1988

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References

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