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CLASSIFICATION OF MULTIVARIATE LIFE DISTRIBUTIONS BASED ON PARTIAL ORDERING

Published online by Cambridge University Press:  11 January 2002

Dilip Roy
Dilip Roy
Affiliation:
Department of Business Administration, Burdwan University, Burdwan–713104, West Bengal, India, E-mail: diliproy@vsnl.com
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Abstract

Barlow and Proschan presented some interesting connections between univariate classifications of life distributions and partial orderings where equivalent definitions for increasing failure rate (IFR), increasing failure rate average (IFRA), and new better than used (NBU) classes were given in terms of convex, star-shaped, and superadditive orderings. Some related results are given by Ross and Shaked and Shanthikumar. The introduction of a multivariate generalization of partial orderings is the object of the present article. Based on that concept of multivariate partial orderings, we also propose multivariate classifications of life distributions and present a study on more IFR-ness.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 16 , Issue 1 , January 2002 , pp. 129 - 137
Copyright
© 2002 Cambridge University Press

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