Hostname: page-component-586b7cd67f-rcrh6 Total loading time: 0 Render date: 2024-11-22T04:15:50.440Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

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

References

Barlow, R. E. and Proschan, F. (1981) Statistical Theory of Reliability and Life Testing. To Begin With, Silver Spring, MD.Google Scholar
Block, H. W. and Savits, T. H. (1980) Laplace transforms for classes of life distributions. Ann. Prob. 8, 465–474.Google Scholar
Bryson, M. C. and Siddiqui, M. M. (1969) Some criteria for aging. J. Amer. Statist. Assoc. 64, 1472–1483.Google Scholar
Esary, J. D., Marshall, A. W. and Proschan, F. (1973) Shock models and wear processes. Ann. Prob. 1, 627–649.Google Scholar
Stoyan, D. (1983) Comparison Methods for Queues and Other Stochastic Models. Wiley, New York.Google Scholar