Weibull model is known as the exponential distribution because the form of its pdf. see
http://en.wikipedia.org/wiki/Weibull_distribution
Weibull mortality rate = pdf / (1- CDF) ~ t^n
Mixture Weibull distributions is studied by Nicholas Jewell, 1982
http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdf_1&handle=euclid.aos/1176345789
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