A Glaser Twist: Focus on the Mixture Parameters

A Glaser Twist: Focus on the Mixture Parameters

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...

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Veröffentlicht in:Journal of applied probability 2012-12, Vol.49 (4), p.1144-1155
Hauptverfasser: Block, Henry W., Langberg, Naftali A., Savits, Thomas H.
Format: Artikel
Sprache:eng
Schlagworte:
62N05
bathtub failure rate
Bathtubs
Bleeding time
Density
Failure analysis
failure rate function
Failure rates
Local maximum
Mathematical analysis
Mathematical functions
Mathematical independent variables
Parameter estimation
Parametric models
Reliability
Reliability functions
Studies
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Beschreibung
Zusammenfassung: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.
ISSN:0021-9002
1475-6072
DOI:10.1239/jap/1354716663