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A Glaser Twist: Focus on the Mixture Parameters

Part of:Survival analysis and censored data

Published online by Cambridge University Press:  30 January 2018

Henry W. Block,
Naftali A. Langberg and
Thomas H. Savits
Henry W. Block*
Affiliation:
University of Pittsburgh
Naftali A. Langberg*
Affiliation:
University of Haifa
Thomas H. Savits*
Affiliation:
University of Pittsburgh
*
∗ Postal address: Department of Statistics, University of Pittsburgh, 2717 Cathedral of Learning, Pittsburgh, PA 15260, USA.
∗∗∗ Postal address: Department of Statistics, Haifa University, Mount Carmel, Haifa 31999, Israel.
∗ Postal address: Department of Statistics, University of Pittsburgh, 2717 Cathedral of Learning, Pittsburgh, PA 15260, USA.
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Abstract

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In this paper we introduce a variation on Glaser's method for determining the shape of the failure rate function of a mixture. It has often been seen that the shape of the failure rate depends on the mixing parameter q. Our method provides an explanation for this phenomenon. We then illustrate our technique with the mixture of an exponential and a gamma density for all possible cases.

Keywords

Reliabilityfailure rate functionbathtub failure rate

MSC classification

Primary:62N05: Reliability and life testing

Information

Type
Research Article
Information
Journal of Applied Probability , Volume 49 , Issue 4 , December 2012, pp. 1144 - 1155
Copyright
© Applied Probability Trust 

Footnotes

Supported by NSA Grant H 98230-07-1-0018.

References

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