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ON INEQUALITIES AND SELECTION OF EXPERIMENTS FOR LENGTH BIASED DISTRIBUTIONS

Published online by Cambridge University Press:  01 April 1999

Broderick O. Oluyede
Broderick O. Oluyede
Affiliation:
Department of Statistics, University of Georgia, Athens, Georgia 30602
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Abstract

The length biased distribution occurs naturally for some sampling plans in reliability, biometry, and survival analysis. In this note, inequalities for length biased distributions are proved for monotone hazard functions and mean residual life functions. The problem of sampling and selection of experiments from the length biased distribution as opposed to the original distribution is addressed. Certain modified cross-entropy measures are also investigated.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 13 , Issue 2 , April 1999 , pp. 169 - 185
Copyright
© 1999 Cambridge University Press

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