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Contrary to common step-stress approaches, an arbitrary absolutely continuous lifetime distribution can be chosen, and, due to the experimental design of repeated Type-II censoring, the existence of maximum likelihood estimators for the parameters of interest is always guaranteed.
For carcinogens, estimates were based on their respective unit risk estimates (UREs), which represent the excess lifetime cancer risk estimated to result from continuous lifetime exposure to an average concentration of 1 μg/m of a particular substance in air.
Statistical analysis identified a threshold of response between 200 and 600 microg/m(3) average continuous lifetime exposure, consistent with biological-effect thresholds reported by other investigators.
A consecutive-k-out-of-n F system is a system of n independent and linearly consecutive-k-out-of-n Fconsecutive-k-out-of-n Fus) lifetime distribution F, in whiconsecutive-k-out-of-n F consecutive-k-out-of-n Fail.
Based on this concern and evaluation of visual and other health effects associated with perc exposure, the New York State Department of Health (NYSDOH) derived a health-based guideline of 100 μg/m perc for residential air, considering continuous lifetime exposure and sensitive people (NYSDOH 1997, 2003).
Combining a continuous model with compound power series class: For the second recent trend on compounding, one continuous lifetime model is compounded with the power series class of distributions truncated at zero.
Asgharzadeh et al. (2014) introduced the G-Poisson-Lindley (from discrete Poisson-Lindley) class of distributions by compounding the ZTPL distribution with any other continuous lifetime model.
The second approach deals with the compounding of discrete models, namely the geometric, Poisson, logarithmic, binomial, negative-binomial (NB), Conway-Maxwell-Poisson (COMP) and power-series with continuous lifetime models.
