The initial approximation of mixture failure rate is straight forward. For each subpopulation pdf = failure rate *Viability. Because viability approaches 1 initially, mixture of pdf leads to mixture of failure rates.
Reference:
Initial and Final Behaviour of Failure Rate Functions for Mixtures and Systems
Author(s): Henry W. Block, Yulin Li and Thomas H. Savits Source: Journal of Applied Probability, Vol. 40, No. 3 (Sep., 2003), pp. 721-740 Published by: Applied Probability Trust
Author(s): Henry W. Block, Yulin Li and Thomas H. Savits Source: Journal of Applied Probability, Vol. 40, No. 3 (Sep., 2003), pp. 721-740 Published by: Applied Probability Trust
Stable URL: http://www.jstor.org/stable/3215946 .
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