This dissertation provides a new method of treating the conservative low dose extrapolation problem. One wishes to determine the largest dose d, called the "safe" dose, for which P(F(d) (LESSTHEQ) r) (GREATERTHEQ) 1 - (eta) where F(d) is the proportion of failures, say cancers induced, at dose d by time T. F is a life distribution function, presumed to come from some class of functions F, T is prespecified, r () {0,1}, denotes the proportion of failures at doses (x,y) by fixed time T. Four extensions of the univariate class of IFR functions are introduced, differing in the way that convexity of the hazard function, H(x,y) = -ln(1-F(x,y)) is posited. The notion of dependent action is considered and a hypothesis test for its existence given. / Conservative low dose extrapolation techniques for the two most prominent classes are given. An upper bound for the hazard function is established for low doses with proofs that the bounds are sharp. / Source: Dissertation Abstracts International, Volume: 45-09, Section: B, page: 2980. / Thesis (Ph.D.)--The Florida State University, 1984.
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_75422 |
| Contributors | SCHELL, MICHAEL J., Florida State University |
| Source Sets | Florida State University |
| Detected Language | English |
| Type | Text |
| Format | 161 p. |
| Rights | On campus use only. |
| Relation | Dissertation Abstracts International |
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