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Preservation of generalized bathtub-shaped functions

Part of: Special processes Survival analysis and censored data

Published online by Cambridge University Press:  14 July 2016

Thomas H. Savits
Thomas H. Savits*
Affiliation:
University of Pittsburgh
*
∗ Postal address: Department of Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA. Email address: ths@stat.pitt.edu
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Abstract

Block, Savits and Singh previously presented a preservation result for bathtub-shaped functions. In this paper, we strengthen and extend their results to a class of functions which allow for more than one change of monotonicity. Various applications are also considered.

Keywords

Bathtub-shaped functionpreservationIFRDFRreliabilityorderings

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62N05: Reliability and life testing
Type
Research Papers
Information
Journal of Applied Probability , Volume 40 , Issue 2 , June 2003 , pp. 473 - 484
Copyright
Copyright © Applied Probability Trust 2003 

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Footnotes

Supported by NSF Grant DMS-0072207.

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