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HOW TO OBTAIN BATHTUB-SHAPED FAILURE RATE MODELS FROM NORMAL MIXTURES

Published online by Cambridge University Press:  01 October 2004

Jorge Navarro  and
Pedro J. Hernandez
Jorge Navarro
Affiliation:
Facultad de Matemáticas, Universidad de Murcia, 30100 Murcia, Spain, E-mail: [email protected]
Pedro J. Hernandez
Affiliation:
Universidad de Politécnica de Cartagena, Cartagena, Murcia, Spain, E-mail: [email protected]
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Abstract

We obtain some techniques to study the shape of reliability functions (failure rate, mean residual life, etc.) by using the s-equilibrium distribution of a renewal process defined by Fagiuoli and Pellerey (Naval Res. Logist., 1993). We apply these techniques to study how to obtain distributions with bathtub shaped failure rate (BFR) from mixtures of two positive truncated normal distributions.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 18 , Issue 4 , October 2004 , pp. 511 - 531
Copyright
© 2004 Cambridge University Press

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References

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