Multivariate conditional hazard rates and the MIFRA and MIFR properties

Multivariate conditional hazard rates and the MIFRA and MIFR properties

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Article ID: iaor1988513
Country: Israel
Volume: 25
Issue: 1
Start Page Number: 150
End Page Number: 168
Publication Date: Mar 1988
Journal: Journal of Applied Probability
Authors: ,
Abstract:

If =(T1,...,Tn) is a vector of random lifetimes then its distribution can be determined by a set λ of multivariate conditional hazard rates. In this paper, sufficient conditions on λ are found which imply that is Block-Savits MIFRA (multivariate increasing failure rate average) or Savits MIFR (multivariate increasing failure rate). Applications for a multivariate reliability model of Ross and for load-sharing models are given. The relationship between Shaked and Shanthikumar model of multivariate imperfect repair and the MIFRA property is also discussed.

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