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INTRINSIC AGING AND CLASSES OF NONPARAMETRIC DISTRIBUTIONS

Published online by Cambridge University Press:  14 July 2009

Rhonda Righter ,
Moshe Shaked  and
J. George Shanthikumar
Rhonda Righter
Affiliation:
Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA 94720 E-mail: rrighter@ieor.berkeley.edu
Moshe Shaked
Affiliation:
Department of Mathematics, University of Arizona, Tucson, AZ 85721 E-mail: shaked@math.arizona.edu
J. George Shanthikumar
Affiliation:
Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA 94720 E-mail: shanthikumar@ieor.berkeley.edu
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Abstract

We develop a general framework for understanding the nonparametric (aging) properties of nonnegative random variables through the notion of intrinsic aging. We also introduce some new notions of aging. Many classical and more recent results are special cases of our general results. Our general framework also leads to new results for existing notions of aging, as well as many results for our new notions of aging.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 23 , Issue 4 , October 2009 , pp. 563 - 582
Copyright
Copyright © Cambridge University Press 2009

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