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New kinds of multidimensional IFR distribution

Published online by Cambridge University Press:  01 July 2016

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

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Two kinds of multidimensional IFR distribution are defined by using a partial order in Rn+, which is derived from a non-negative, strictly increasing function in Rn+. Some closure properties under operations and an application to a shock model are discussed.

Type
Letters to the Editor
Information
Advances in Applied Probability , Volume 22 , Issue 1 , March 1990 , pp. 251 - 253
Copyright
Copyright © Applied Probability Trust 1990 

Footnotes

Project supported by the National Natural Science Foundation of China.

References

Marshall, A. W. (1975) Multivariate distributions with monotone hazard rate. Reliability and Fault Tree Analysis, SIAM, Philadelphia, 259–284.Google Scholar