PARTIAL ORDERINGS OF LIFE DISTRIBUTIONS BASED ON AGEING PROPERTIES

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Published: Mar 1, 1990
DOI: https://doi.org/10.5556/j.tkjm.21.1990.4642
Keywords:
generalized forms of partial orderings of life distributions virtual age decreasing virtual ordering new better than used virtual ordering decreasing average virtual ordering new better than average virtual ordering hazard rate mean remaining life ordering global memory ordering negative exponential dis- tribution

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A. M. ABOUAMMOH
Department of Statistics, King Saud University, P.O. Box 2455, Riyadh 11431, Saudi Arabia.
A. N. AHMED
Department of Statistics, King Saud University, P.O. Box 2455, Riyadh 11431, Saudi Arabia.
A. KHALIQUE
Department of Statistics, King Saud University, P.O. Box 2455, Riyadh 11431, Saudi Arabia.

Abstract




Some new generalized forms of partial orderings of life distributions are introduced. Some of these orderings are based on the virtual age such as decreasing virtual ordering, new better than used virtual ordering, decreaing average virtual ordering and new better than average virtual ordering. Similar types of orderings are defmed in terms of the hazard rate. The interrelationships between these orderings are investigated and their relations with other known orderings such as the mean remaining life ordering and the global memory ordering are discussed. Some useful classes of life distributions are shown to arise when such orderings are considered with respect to the negative exponential distribution. Other related results are also discussed.




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How to Cite
ABOUAMMOH, A. M., AHMED, A. N., & KHALIQUE, A. (1990). PARTIAL ORDERINGS OF LIFE DISTRIBUTIONS BASED ON AGEING PROPERTIES. Tamkang Journal of Mathematics, 21(1), 21–33. https://doi.org/10.5556/j.tkjm.21.1990.4642
Issue
Vol. 21 No. 1 (1990)
Section
Papers
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