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The NBUC and NWUC classes of life distributions

Published online by Cambridge University Press:  14 July 2016

Jinhua Cao  and
Yuedong Wang
Jinhua Cao*
Affiliation:
Academia Sinica
Yuedong Wang*
Affiliation:
The George Washington University
*
∗Postal address: Institute of Applied Mathematics, Academia Sinica, Beijing, 100080, China.
∗∗Postal address: Department of Operations Research, The George Washington University, Washington, DC 20052, USA.
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Abstract

A new class of life distributions, namely new better than used in convex ordering (NBUC), and its dual, new worse than used in convex ordering (NWUC), are introduced. Their relations to other classes of life distributions, closure properties under three reliability operations, and heritage properties under shock model and Laplace-Stieltjes transform are discussed.

Keywords

LIFE DISTRIBUTION CLASSNBUCCONVEX ORDERINGSHOCK MODELLAPLACE–STIELTJES TRANSFORM
Type
Short Communications
Information
Journal of Applied Probability , Volume 28 , Issue 2 , June 1991 , pp. 473 - 479
Copyright
Copyright © Applied Probability Trust 1991 

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Footnotes

Research supported by the National Natural Science Foundation of China and Institute of Mathematics, Academia Sinica.

References

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