Intrinsic aging and classes of nonparametric distributions

Authors:
Rhonda Righter;Moshe Shaked;J. george Shanthikumar
Affiliations:
Department of industrial engineering and operations research, university of california, berkeley, ca 94720 e-mail: rrighter@ieor.berkeley.edu;Department of mathematics, university of arizona, tucson, az 85721 e-mail: shaked@math.arizona.edu;Department of industrial engineering and operations research, university of california, berkeley, ca 94720 e-mail: shanthikumar@ieor.berkeley.edu
Venue:
Probability in the Engineering and Informational Sciences
Year:
2009

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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.