RANDOMIZED MULTIHIT MODELS AND THEIR IDENTIFICATION

Citation
Lg. Hanin et al., RANDOMIZED MULTIHIT MODELS AND THEIR IDENTIFICATION, Journal of Applied Probability, 33(2), 1996, pp. 458-471
Citations number
10
Categorie Soggetti
Statistic & Probability","Statistic & Probability
ISSN journal
00219002
Volume
33
Issue
2
Year of publication
1996
Pages
458 - 471
Database
ISI
SICI code
0021-9002(1996)33:2<458:RMMATI>2.0.ZU;2-3
Abstract
The multihit-one target model induces a stochastic ordering of cell su rvival with respect to the cell sensitivity characteristics. This prop erty can be used for a description of cell killing effects in heteroge neous populations of cells on the basis of randomized versions of the model. In such versions, either the critical number of lesions or the mean number of hits per unit dose (sensitivity), or both, are assumed to be random. We give some new results specifying conditions under whi ch the randomized multihit models are identifiable, with a focus on th e following cases: (1) the critical number of radiation-induced lesion s, m, is random; (2) the sensitivity parameter, I, is random given In is known or otherwise; (3) x and m form a pair of independent random v ariables.